Kazimir Majorinc http://kazimirmajorinc.blogspot.com http://instprog.com Lot of Reduced Lambda Expressions ------ 100001/9227217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100002/9227226. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a b)) REDUCED to normal form. ------ 100003/9227244. ------ 1. ==[ start ]==> ((a (^b.b))((a b) a)) 2. ==[ alpha ]==> ((a (^x.x))((a b) a)) REDUCED to normal form. ------ 100004/9227370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(c ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(c ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)(c (^y.y))) 8. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 100005/9227397. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 100006/9227424. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (a b))) 3. ==[ beta ]==> (((a b)(^y.y))(a (a b))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (a b))) REDUCED to normal form. ------ 100007/9227451. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 100008/9227478. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.z))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.y))) REDUCED to normal form. ------ 100009/9227532. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a (a a)))) REDUCED to normal form. ------ 100010/9227559. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 100011/9227730. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 100012/9227847. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 100013/9227874. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 100014/9227901. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 100015/9227973. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) b)) 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. ------ 100016/9228036. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 100017/9228063. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 100018/9228090. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 100019/9228117. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(a a))) 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. ------ 100020/9228162. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 100021/9228171. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 100022/9228198. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 100023/9228342. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (a (a a)))) 7. ==[ beta ]==> ((a a)(b (a (a a)))) REDUCED to normal form. ------ 100024/9228369. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.x))) REDUCED to normal form. ------ 100025/9228396. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 100026/9228423. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a (^z.z)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 100027/9228450. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 100028/9228594. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)(^y.(y y))) 6. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 100029/9228729. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) a)) 3. ==[ beta ]==> (b ((^z.(z z)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 100030/9228837. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100031/9228873. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 100032/9228900. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y) a)) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x) a)) 5. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 100033/9228918. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 100034/9228945. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 100035/9228954. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^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. ------ 100036/9228981. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 100037/9228999. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a) a)) 3. ==[ beta ]==> (((b a)(b a))((^y.a) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.a) a)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 100038/9229062. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 100039/9229080. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 100040/9229089. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 100041/9229143. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 100042/9229188. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100043/9229197. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.x1))) REDUCED to normal form. ------ 100044/9229224. ------ 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)))) REDUCED to normal form. ------ 100045/9229251. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 100046/9229287. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 100047/9229314. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a a)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 100048/9236754. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b)) b) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b)) b) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 100049/9236778. ------ 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) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100050/9236796. ------ 1. ==[ start ]==> ((^a.(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 100051/9236904. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))((^z1.z1) a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100052/9237093. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(b a))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 100053/9237363. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((^y.b)(^z.b))(((^y.b)(^z.b))((^y.b)(^z.b)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.b)(^x1.b))((^y1.b)(^z1.b)))) 5. ==[ beta ]==> (b (((^z.b)(^x1.b))((^y1.b)(^z1.b)))) 6. ==[ alpha ]==> (b (((^x.b)(^y.b))((^z.b)(^x1.b)))) 7. ==[ beta ]==> (b (b ((^z.b)(^x1.b)))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.b)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 100054/9237588. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100055/9238146. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(b a))) 3. ==[ beta ]==> ((((^y.a)(b a))((^y.a)(b a)))((^y.a)(b a))) 4. ==[ alpha ]==> ((((^x.a)(b a))((^y.a)(b a)))((^z.a)(b a))) 5. ==[ beta ]==> ((a ((^y.a)(b a)))((^z.a)(b a))) 6. ==[ alpha ]==> ((a ((^x.a)(b a)))((^y.a)(b a))) 7. ==[ beta ]==> ((a a)((^y.a)(b a))) 8. ==[ alpha ]==> ((a a)((^x.a)(b a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 100056/9238479. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 100057/9238527. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 100058/9238833. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(a (^a.(^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))))) REDUCED to normal form. ------ 100059/9239148. ------ 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))))) REDUCED to normal form. ------ 100060/9239253. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(^x1.(x1 x1)))((^z.(a a))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(^z.(z z)))((^x1.(a a))(^y1.(y1 y1))))) 5. ==[ beta ]==> (((^y.(a a))(^z.(z z)))((^x1.(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 100061/9239742. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 100062/9239928. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((^z.(z z))(a b))((^z.(z z))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(a b))((^y.(y y))(a b)))(^z.z)) 5. ==[ beta ]==> ((((a b)(a b))((^y.(y y))(a b)))(^z.z)) 6. ==[ alpha ]==> ((((a b)(a b))((^x.(x x))(a b)))(^y.y)) 7. ==[ beta ]==> ((((a b)(a b))((a b)(a b)))(^y.y)) 8. ==[ alpha ]==> ((((a b)(a b))((a b)(a b)))(^x.x)) REDUCED to normal form. ------ 100063/9240684. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100064/9241047. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 100065/9241233. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 100066/9241521. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^x1.(a a))(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 100067/9242307. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 100068/9242439. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^b.(^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. ------ 100069/9243117. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 100070/9243252. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100071/9243387. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100072/9243438. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.a)(a (^z.z)))((^y.a)(a (^z.z))))(((^y.a)(a (^z.z)))((^y.a)(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1))))(((^y1.a)(a (^z1.z1)))((^x2.a)(a (^y2.y2))))) 5. ==[ beta ]==> ((a ((^z.a)(a (^x1.x1))))(((^y1.a)(a (^z1.z1)))((^x2.a)(a (^y2.y2))))) 6. ==[ alpha ]==> ((a ((^x.a)(a (^y.y))))(((^z.a)(a (^x1.x1)))((^y1.a)(a (^z1.z1))))) 7. ==[ beta ]==> ((a a)(((^z.a)(a (^x1.x1)))((^y1.a)(a (^z1.z1))))) 8. ==[ alpha ]==> ((a a)(((^x.a)(a (^y.y)))((^z.a)(a (^x1.x1))))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(a (^x1.x1))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(a (^y.y))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 100073/9243612. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 100074/9243882. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))(b a))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))(b a))(^y.y)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 100075/9243945. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 100076/9244071. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100077/9244107. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 100078/9244170. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 100079/9244197. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 100080/9244227. ------ 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 (^y.y)) b)) REDUCED to normal form. ------ 100081/9244245. ------ 1. ==[ start ]==> ((a (a a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 100082/9244254. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 100083/9244290. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 100084/9244317. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (b (b (^y.(^z.z)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 100085/9244326. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(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. ------ 100086/9244344. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 100087/9244353. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 100088/9244371. ------ 1. ==[ start ]==> (((a a) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 100089/9244398. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 100090/9244452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.b))) REDUCED to normal form. ------ 100091/9244506. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 100092/9244515. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 100093/9244542. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 5. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 100094/9244587. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 100095/9244641. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a)) a)) REDUCED to normal form. ------ 100096/9244668. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 100097/9244785. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 100098/9244812. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.b))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 100099/9244956. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 100100/9245010. ------ 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)(a a))(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 100101/9245019. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 100102/9245037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 100103/9245172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100104/9245199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100105/9245253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 7. ==[ beta ]==> (((^y.y) a)(b a)) 8. ==[ alpha ]==> (((^x.x) a)(b a)) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 100106/9245307. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z) b))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 7. ==[ beta ]==> ((a a)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 100107/9245343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 100108/9245370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 100109/9245397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 100110/9245424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 100111/9245460. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 100112/9245487. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 100113/9245541. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 100114/9245568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 100115/9245595. ------ 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. ------ 100116/9245721. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a) c)) 3. ==[ beta ]==> (((^y.y) b)((b a) c)) 4. ==[ alpha ]==> (((^x.x) b)((b a) c)) 5. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 100117/9245928. ------ 1. ==[ start ]==> ((a (^a.b))(c (b a))) 2. ==[ alpha ]==> ((a (^x.b))(c (b a))) REDUCED to normal form. ------ 100118/9245946. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 100119/9245973. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 100120/9246117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 100121/9246198. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((^z.z)(a a)))) IRREDUCIBLE: cycle. ------ 100122/9246279. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 100123/9246315. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 100124/9246369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 100125/9246396. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 100126/9246423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100127/9246477. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 100128/9246513. ------ 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. ------ 100129/9246540. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 100130/9246567. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 100131/9246594. ------ 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. ------ 100132/9246621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.y1))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.x1))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 100133/9246666. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> (b (((a a)(^y.y)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 100134/9246675. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 100135/9246702. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 100136/9246873. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 100137/9246909. ------ 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. ------ 100138/9246927. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(a a))) 5. ==[ beta ]==> ((a a)((b a)(a a))) REDUCED to normal form. ------ 100139/9246954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 100140/9246963. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 100141/9247008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 9. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 11. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 100142/9247089. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 100143/9247188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 100144/9247269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 100145/9247296. ------ 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. ------ 100146/9247314. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 100147/9247323. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 100148/9247350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 100149/9247377. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a b)(a b))) REDUCED to normal form. ------ 100150/9247557. ------ 1. ==[ start ]==> (((a b) c)((a b) d)) REDUCED to normal form. ------ 100151/9247710. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 100152/9247791. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 100153/9247800. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 100154/9247944. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.(a a)))) 3. ==[ beta ]==> ((a (a b))(c (^y.(a a)))) 4. ==[ alpha ]==> ((a (a b))(c (^x.(a a)))) REDUCED to normal form. ------ 100155/9247971. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 100156/9248052. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 100157/9248079. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 100158/9248133. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 100159/9248493. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 100160/9248502. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 100161/9248556. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 100162/9248574. ------ 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. ------ 100163/9248583. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a) d)) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 100164/9248682. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 100165/9248700. ------ 1. ==[ start ]==> (((a a)(b a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(a a)))) REDUCED to normal form. ------ 100166/9248754. ------ 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 a)) REDUCED to normal form. ------ 100167/9248781. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 100168/9248835. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 100169/9248862. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 10. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 100170/9248889. ------ 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. ------ 100171/9248916. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 100172/9248961. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100173/9248970. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 100174/9249141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 100175/9249249. ------ 1. ==[ start ]==> (((^a.(^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) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100176/9249276. ------ 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. ------ 100177/9249303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.z))) 7. ==[ beta ]==> (a ((^y.y)(^z.z))) 8. ==[ alpha ]==> (a ((^x.x)(^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100178/9249357. ------ 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. ------ 100179/9249393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.b)((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.b)((a b)(^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100180/9249447. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 100181/9249474. ------ 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 (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 100182/9249501. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 100183/9249555. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.b))) REDUCED to normal form. ------ 100184/9249591. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 100185/9249618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 100186/9249645. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 100187/9249672. ------ 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 y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 100188/9249699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^b.(^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. ------ 100189/9249753. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.b)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 100190/9249888. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^b.(^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. ------ 100191/9249897. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 100192/9249924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a) a))) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 100193/9250176. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a)) c)) REDUCED to normal form. ------ 100194/9250221. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(c (a (a a)))) 5. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 100195/9250248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100196/9250302. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 100197/9250338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z)) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z)) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y)) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100198/9250383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 100199/9250446. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 100200/9250500. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.a))) REDUCED to normal form. ------ 100201/9250527. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 100202/9250563. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 100203/9250590. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 100204/9250617. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (b a))(^y.y)) 8. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 100205/9250644. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 100206/9250671. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 100207/9250698. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 100208/9250833. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 100209/9250860. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(a a))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((b (a a))((a a)(a a))) REDUCED to normal form. ------ 100210/9250887. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 100211/9251058. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 100212/9251202. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 100213/9251229. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.a))) REDUCED to normal form. ------ 100214/9251274. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (a a))) 3. ==[ beta ]==> ((^y.y)(c (a a))) 4. ==[ alpha ]==> ((^x.x)(c (a a))) 5. ==[ beta ]==> (c (a a)) REDUCED to normal form. ------ 100215/9251283. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 100216/9251328. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a ((^y.y) a))) 3. ==[ beta ]==> (((b a)(b a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((b a)(b a))(a ((^x.x) a))) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 100217/9251391. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) c) REDUCED to normal form. ------ 100218/9251409. ------ 1. ==[ start ]==> (((^a.b)(a b))(c a)) 2. ==[ alpha ]==> (((^x.b)(a b))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 100219/9251418. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 100220/9251472. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 100221/9251517. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100222/9251526. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 100223/9251553. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((b (^x.(^y.y))) b) REDUCED to normal form. ------ 100224/9251580. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 100225/9251616. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 100226/9251643. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 100227/9257019. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a z))) 3. ==[ eta ]==> ((^x.(^y.y)) a) 4. ==[ beta ]==> (^y.y) 5. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100228/9259092. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b)) c) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b)) c) 3. ==[ beta ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 100229/9259251. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(^y1.a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 100230/9259368. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(a b))) 3. ==[ beta ]==> (^y.((^z.b)(a b))) 4. ==[ alpha ]==> (^x.((^y.b)(a b))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 100231/9259533. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((a a)(a a)))) 5. ==[ beta ]==> (a (^y.((a a)(a a)))) 6. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 100232/9259611. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 100233/9259893. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 100234/9260217. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 100235/9261189. ------ 1. ==[ start ]==> (((a b) a)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 100236/9261207. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.z))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 100237/9261393. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a b)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a b)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a b))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100238/9261810. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 100239/9262275. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((((a (a a))(^z.b))((a (a a))(^z.b)))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.b))((a (a a))(^y.b)))(^z.z)) REDUCED to normal form. ------ 100240/9262647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1))) b) 4. ==[ beta ]==> (((^y.y)(^z.(^x1.x1))) b) 5. ==[ alpha ]==> (((^x.x)(^y.(^z.z))) b) 6. ==[ beta ]==> ((^y.(^z.z)) b) 7. ==[ alpha ]==> ((^x.(^y.y)) b) 8. ==[ beta ]==> (^y.y) 9. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100241/9263031. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 100242/9263394. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100243/9263403. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 100244/9263868. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((((^x1.x1)(a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 100245/9264267. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a b))) REDUCED to normal form. ------ 100246/9264471. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100247/9264474. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(a b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a y))) 3. ==[ eta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 100248/9265320. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 100249/9265464. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 100250/9265785. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))((((^y.y) a)(^z.(^x1.x1)))(((^y.y) a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))((((^x2.x2) a)(^y2.(^z2.z2)))(((^x3.x3) a)(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1))))((((^x2.x2) a)(^y2.(^z2.z2)))(((^x3.x3) a)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1))))((((^z1.z1) a)(^x2.(^y2.y2)))(((^z2.z2) a)(^x3.(^y3.y3))))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))((((^z1.z1) a)(^x2.(^y2.y2)))(((^z2.z2) a)(^x3.(^y3.y3))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((((^y1.y1) a)(^z1.(^x2.x2)))(((^y2.y2) a)(^z2.(^x3.x3))))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.(^x2.x2)))(((^y2.y2) a)(^z2.(^x3.x3))))) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(((^x2.x2) a)(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^y2.(^z2.z2))))) 12. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 100251/9265959. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 100252/9266067. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100253/9266148. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 100254/9266229. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.a))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 100255/9266292. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 100256/9266310. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 100257/9266373. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 100258/9266418. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100259/9266427. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 100260/9266454. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 100261/9266544. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 100262/9266592. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (a ((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 100263/9266610. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 100264/9266619. ------ 1. ==[ start ]==> (((a a) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 100265/9266682. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 100266/9266709. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 100267/9266718. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100268/9266799. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100269/9266826. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(a b))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 100270/9266844. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 100271/9266907. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 100272/9266934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.(^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 REDUCED to normal form. ------ 100273/9266988. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (a ((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.x)((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 100274/9267069. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 100275/9267177. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((^y.b)(^z.b))((^y.b)(^z.b))) 6. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.b))) 7. ==[ beta ]==> (b ((^z.b)(^x1.b))) 8. ==[ alpha ]==> (b ((^x.b)(^y.b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 100276/9267204. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100277/9267285. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 100278/9267312. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100279/9267321. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 100280/9267348. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 100281/9267375. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 100282/9267483. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b b)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b b)((a a)(^y.y))) 8. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 100283/9267618. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a (a a)) b)(a (b a))) REDUCED to normal form. ------ 100284/9267645. ------ 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 (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 100285/9267663. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.x1))) 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. ------ 100286/9267672. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 100287/9267744. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (^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. ------ 100288/9267816. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 100289/9267843. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.a))) REDUCED to normal form. ------ 100290/9267870. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.b))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.b))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 100291/9267897. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(a a))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 100292/9267987. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 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. ------ 100293/9268041. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (a ((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100294/9268149. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(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. ------ 100295/9268356. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) a)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) a)) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 100296/9268383. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 100297/9268455. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 100298/9268617. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(b a))) REDUCED to normal form. ------ 100299/9268635. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 100300/9268644. ------ 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. ------ 100301/9268662. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.y))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 100302/9268689. ------ 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)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100303/9268824. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100304/9268851. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 100305/9268869. ------ 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. ------ 100306/9268950. ------ 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.(^y.(^z.z))))) REDUCED to normal form. ------ 100307/9268977. ------ 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.y1))) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) a)) 7. ==[ beta ]==> (a ((a (^y.(^z.z))) a)) 8. ==[ alpha ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 100308/9269004. ------ 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. ------ 100309/9269031. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x)) c)) REDUCED to normal form. ------ 100310/9269067. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100311/9269094. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100312/9269148. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100313/9269238. ------ 1. ==[ start ]==> (((a b) b)(b (b a))) REDUCED to normal form. ------ 100314/9269265. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 100315/9269292. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)(a a))) REDUCED to normal form. ------ 100316/9269319. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 100317/9269373. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 100318/9269400. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)((^y.y)(^z.z)))(((a a) a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)(^z.z))) 12. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 100319/9269427. ------ 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. ------ 100320/9269454. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 100321/9269481. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 100322/9269571. ------ 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. ------ 100323/9269598. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 100324/9269625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.a))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.a))) REDUCED to normal form. ------ 100325/9269652. ------ 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. ------ 100326/9269679. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 100327/9269733. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 100328/9269769. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100329/9269904. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 100330/9269985. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 100331/9270012. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((^y.(y y))(^z.b)) 6. ==[ alpha ]==> ((^x.(x x))(^y.b)) 7. ==[ beta ]==> ((^y.b)(^y.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 100332/9270048. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(c ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(c (a a))) REDUCED to normal form. ------ 100333/9270102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100334/9270129. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 100335/9270156. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 100336/9270183. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 100337/9270210. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 100338/9270381. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 100339/9270408. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 100340/9270435. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 100341/9270462. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 100342/9270489. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 100343/9270579. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100344/9270660. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 100345/9270768. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 100346/9270795. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100347/9270831. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(b (a a))) REDUCED to normal form. ------ 100348/9270849. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 100349/9270858. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 100350/9270912. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 100351/9270939. ------ 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. ------ 100352/9270966. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.a))(a (a a))) REDUCED to normal form. ------ 100353/9270993. ------ 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 (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 100354/9271110. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 100355/9271137. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 100356/9271164. ------ 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. ------ 100357/9271191. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 100358/9271218. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 100359/9271272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 100360/9271326. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 100361/9271335. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100362/9271416. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 100363/9271497. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100364/9271614. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 7. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 100365/9271641. ------ 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))(a (a a)))) REDUCED to normal form. ------ 100366/9271713. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.b))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.b))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.b))) REDUCED to normal form. ------ 100367/9271722. ------ 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. ------ 100368/9271794. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100369/9271902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100370/9271929. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 3. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 100371/9271947. ------ 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. ------ 100372/9271974. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a) b)) REDUCED to normal form. ------ 100373/9272136. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b) a)) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 100374/9272208. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100375/9272253. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^b.(^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. ------ 100376/9272280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^c.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. ------ 100377/9272415. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100378/9272523. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100379/9272577. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100380/9272586. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (a (a a)))) REDUCED to normal form. ------ 100381/9272604. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100382/9272613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.y1))) REDUCED to normal form. ------ 100383/9272694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(a (^y.y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100384/9272721. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 100385/9272739. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 100386/9272748. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 100387/9272775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 100388/9272847. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 100389/9272883. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c d)) 3. ==[ beta ]==> ((b (^y.y))(c d)) 4. ==[ alpha ]==> ((b (^x.x))(c d)) REDUCED to normal form. ------ 100390/9272919. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 100391/9272946. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 100392/9272973. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a)) b)) 3. ==[ beta ]==> ((a (b a))((a (a a)) b)) REDUCED to normal form. ------ 100393/9273081. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 100394/9273108. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) b)) 7. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 100395/9273135. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 100396/9273216. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(^y.y))) 3. ==[ beta ]==> ((b (a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 100397/9273243. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 100398/9273279. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100399/9273414. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 100400/9273522. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100401/9273558. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(c b)) 3. ==[ beta ]==> ((b b)(c b)) REDUCED to normal form. ------ 100402/9273585. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b c)) REDUCED to normal form. ------ 100403/9273603. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 100404/9273630. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100405/9273639. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (a a))) REDUCED to normal form. ------ 100406/9273666. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a (^x1.x1)))) REDUCED to normal form. ------ 100407/9273684. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((b a)(b a))(^y.a)) 6. ==[ alpha ]==> (((b a)(b a))(^x.a)) REDUCED to normal form. ------ 100408/9273747. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 100409/9273765. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.a))) 3. ==[ beta ]==> (b (a (^y.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 100410/9273774. ------ 1. ==[ start ]==> (((a b)(^a.b))(c a)) 2. ==[ alpha ]==> (((a b)(^x.b))(c a)) REDUCED to normal form. ------ 100411/9273828. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a c)) REDUCED to normal form. ------ 100412/9273873. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100413/9273882. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (a (^x1.x1)))) REDUCED to normal form. ------ 100414/9273909. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 100415/9273936. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b a)) REDUCED to normal form. ------ 100416/9273972. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 100417/9273999. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 100418/9274025. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(a (^a.(^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. ------ 100419/9274026. ------ 1. ==[ start ]==> (a (((^a.a) a)(a (^a.(^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. ------ 100420/9274083. ------ 1. ==[ start ]==> ((^a.b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(^y.((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 100421/9279384. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100422/9281484. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z)))) a) 3. ==[ beta ]==> ((a (a (^y.(^z.z)))) a) 4. ==[ alpha ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 100423/9281490. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 100424/9281517. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^y.y))((^z.z) b))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 100425/9281544. ------ 1. ==[ start ]==> ((^a.b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a a)((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 100426/9281547. ------ 1. ==[ start ]==> ((a b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 100427/9281580. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100428/9281742. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.b))) 3. ==[ beta ]==> (^y.((a b)(^z.b))) 4. ==[ alpha ]==> (^x.((a b)(^y.b))) REDUCED to normal form. ------ 100429/9281916. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 100430/9282267. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 100431/9282309. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100432/9282435. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100433/9283275. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a (a (a a)))(^x.b)) REDUCED to normal form. ------ 100434/9283380. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))(a (a a))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (a a))) b) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 100435/9283590. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 100436/9283767. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.b))(((^z.z)(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.b))(((^y1.y1)(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.b))(((^y1.y1)(^z1.z1))(^x2.b)))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b)))) 7. ==[ beta ]==> (^x.((^z.b)(((^x1.x1)(^y1.y1))(^z1.b)))) 8. ==[ alpha ]==> (^x.((^y.b)(((^z.z)(^x1.x1))(^y1.b)))) 9. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 100437/9284184. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 100438/9284463. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(b a))) REDUCED to normal form. ------ 100439/9285777. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 100440/9286236. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100441/9286668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100442/9286845. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100443/9286848. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 100444/9287055. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(y b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(y b))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x b))) REDUCED to normal form. ------ 100445/9287160. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 100446/9288000. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 100447/9288333. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 100448/9288603. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.y)) 3. ==[ beta ]==> (((b a)(b a))(^y.y)) 4. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 100449/9288684. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.c)) 3. ==[ beta ]==> (b (^y.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 100450/9288693. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 100451/9288747. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 100452/9288801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100453/9288855. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 100454/9288891. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.b)) REDUCED to normal form. ------ 100455/9288918. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(z z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 100456/9288945. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 100457/9288957. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(a (^a.(^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. ------ 100458/9288984. ------ 1. ==[ start ]==> ((a (a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 100459/9289002. ------ 1. ==[ start ]==> (((a a) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 100460/9289011. ------ 1. ==[ start ]==> ((a b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 100461/9289047. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 100462/9289056. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a a))) 3. ==[ beta ]==> (b ((^y.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 100463/9289083. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100464/9289101. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100465/9289110. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 100466/9289128. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 100467/9289155. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 100468/9289191. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 100469/9289209. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.b))) REDUCED to normal form. ------ 100470/9289245. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100471/9289317. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100472/9289326. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 100473/9289353. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 100474/9289380. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 100475/9289398. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 100476/9289434. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 100477/9289542. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 100478/9289623. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 100479/9289677. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 100480/9289704. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 100481/9289776. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 100482/9289794. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 100483/9289821. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((b a) a)) REDUCED to normal form. ------ 100484/9289848. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 100485/9289875. ------ 1. ==[ start ]==> (((a (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)(^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. ------ 100486/9289902. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 100487/9290055. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 100488/9290109. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 100489/9290127. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100490/9290136. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^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. ------ 100491/9290370. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 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. ------ 100492/9290424. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b) a)) 5. ==[ beta ]==> (a (((^z.z) b) a)) 6. ==[ alpha ]==> (a (((^x.x) b) a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 100493/9290460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 100494/9290541. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 100495/9290568. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 100496/9290595. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 100497/9290622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100498/9290712. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 100499/9290739. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (a (a a)))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a (a (a a)))(a ((^x.x) b))) 5. ==[ beta ]==> ((a (a (a a)))(a b)) REDUCED to normal form. ------ 100500/9290766. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 100501/9290793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 100502/9290820. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 100503/9290847. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a a)(a (a a)))) REDUCED to normal form. ------ 100504/9291000. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^d.a))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.a))) REDUCED to normal form. ------ 100505/9291027. ------ 1. ==[ start ]==> (((a b) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 100506/9291054. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 100507/9291072. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 100508/9291126. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 100509/9291162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100510/9291189. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 100511/9291207. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 100512/9291216. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 100513/9291234. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(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. ------ 100514/9291648. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100515/9291666. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 100516/9291900. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((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. ------ 100517/9291927. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(b a))) REDUCED to normal form. ------ 100518/9292053. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 100519/9292152. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 100520/9292287. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^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. ------ 100521/9292296. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 100522/9292323. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 100523/9292404. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 100524/9292431. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 100525/9292530. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100526/9292629. ------ 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. ------ 100527/9292656. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 100528/9292683. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(a b))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(a b))) 5. ==[ beta ]==> ((a (a b))(a (a b))) REDUCED to normal form. ------ 100529/9292710. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 100530/9292737. ------ 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. ------ 100531/9292962. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 100532/9293043. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 100533/9293106. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 100534/9293214. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 100535/9293241. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 100536/9293313. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b) c)) 3. ==[ beta ]==> (b ((^y.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 100537/9293439. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(a b))) REDUCED to normal form. ------ 100538/9293466. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 100539/9293700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100540/9293718. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100541/9294105. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.b))) REDUCED to normal form. ------ 100542/9294132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(a (^z.(a a)))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100543/9294177. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 100544/9294186. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 100545/9294213. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 100546/9294240. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 100547/9294294. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 100548/9294312. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 100549/9294492. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))(b ((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 100550/9294519. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 100551/9294546. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 100552/9294600. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (a a)) a)) REDUCED to normal form. ------ 100553/9294627. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a (a a)))) REDUCED to normal form. ------ 100554/9294798. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 100555/9294906. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100556/9294915. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 100557/9294942. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b a)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 100558/9294969. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 100559/9294996. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 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. ------ 100560/9295131. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(y y)))) REDUCED to normal form. ------ 100561/9295158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 100562/9295230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 100563/9295239. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^z1.z1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.z1)))) REDUCED to normal form. ------ 100564/9295266. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 100565/9295437. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (a (a a)))) REDUCED to normal form. ------ 100566/9295464. ------ 1. ==[ start ]==> (((a b)((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 100567/9295491. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 100568/9295518. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 100569/9295572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(a (a a)))) REDUCED to normal form. ------ 100570/9295662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 100571/9295941. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(a a))) 3. ==[ beta ]==> ((b b)((^y.a)(a a))) 4. ==[ alpha ]==> ((b b)((^x.a)(a a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 100572/9295968. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 100573/9295986. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 100574/9296013. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100575/9296022. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 100576/9296049. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 100577/9296067. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a) c)) 3. ==[ beta ]==> (((b a)(b a))((a a) c)) REDUCED to normal form. ------ 100578/9296130. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 100579/9296148. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 100580/9296157. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 100581/9296211. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 100582/9296256. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100583/9296265. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 100584/9296292. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 100585/9296319. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 100586/9296355. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a b)) REDUCED to normal form. ------ 100587/9296382. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 100588/9296409. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 100589/9301173. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^x1.((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100590/9303876. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z)))) b) 3. ==[ beta ]==> ((a (a (^y.(^z.z)))) b) 4. ==[ alpha ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 100591/9303900. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100592/9303945. ------ 1. ==[ start ]==> ((^a.b)(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(b (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 100593/9304026. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^z.z)(a (^x1.x1)))(^y.y)) 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. ------ 100594/9304215. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100595/9304317. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 100596/9304485. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^z.a))(((^y.(a a))(^z.a))((^y.(a a))(^z.a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.a))(((^z.(a a))(^x1.a))((^y1.(a a))(^z1.a)))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.a))((^y1.(a a))(^z1.a)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.a))((^z.(a a))(^x1.a)))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 100597/9304686. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 100598/9304710. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100599/9305268. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.(y y))((a a)(^z.z)))((^y.(y y))((a a)(^z.z))))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))((^y1.(y1 y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))((^y1.(y1 y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1))))((^y1.(y1 y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1))))((^y1.(y1 y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1))))((^y1.(y1 y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1))))(((a a)(^z1.z1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> (((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1))))(((a a)(^y1.y1))((a a)(^z1.z1)))) REDUCED to normal form. ------ 100600/9305676. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 100601/9305982. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 100602/9306297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (a (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 100603/9306603. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 100604/9306891. ------ 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. ------ 100605/9307050. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))((a a) a))((^z.(^x1.x1))((a a) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a) a))((^z.(^x1.x1))((a a) a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))((a a) a)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a) a)))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))((a a) a))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100606/9307806. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(a (a a)))) 3. ==[ eta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100607/9308355. ------ 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. ------ 100608/9308643. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^x1.x1)((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 100609/9308646. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 100610/9309267. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(a z))) 3. ==[ eta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 100611/9309456. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.x))) REDUCED to normal form. ------ 100612/9309978. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((z z) z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((z z) z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 100613/9310266. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 100614/9310401. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100615/9310536. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100616/9310560. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((^y.(y y))(a a))((^y.(y y))(a a)))(((^y.(y y))(a a))((^y.(y y))(a a)))) 4. ==[ alpha ]==> ((((^x.(x x))(a a))((^y.(y y))(a a)))(((^z.(z z))(a a))((^x1.(x1 x1))(a a)))) 5. ==[ beta ]==> ((((a a)(a a))((^y.(y y))(a a)))(((^z.(z z))(a a))((^x1.(x1 x1))(a a)))) 6. ==[ alpha ]==> ((((a a)(a a))((^x.(x x))(a a)))(((^y.(y y))(a a))((^z.(z z))(a a)))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((^y.(y y))(a a))((^z.(z z))(a a)))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((^x.(x x))(a a))((^y.(y y))(a a)))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((^y.(y y))(a a)))) 10. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((^x.(x x))(a a)))) 11. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 100617/9310842. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100618/9311085. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a (^z.z)))) 3. ==[ beta ]==> (b (^y.(a (^z.z)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 100619/9311094. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.c)) REDUCED to normal form. ------ 100620/9311148. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100621/9311202. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.b)) REDUCED to normal form. ------ 100622/9311256. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 100623/9311292. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(a a))) REDUCED to normal form. ------ 100624/9311319. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 100625/9311346. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 100626/9311376. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 100627/9311403. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 100628/9311421. ------ 1. ==[ start ]==> ((a b)(b (^c.(a a)))) 2. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 100629/9311430. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 100630/9311466. ------ 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. ------ 100631/9311493. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 100632/9311502. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(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. ------ 100633/9311520. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 100634/9311547. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.(y y)))) REDUCED to normal form. ------ 100635/9311574. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 100636/9311637. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 100637/9311655. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 100638/9311691. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 100639/9311736. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 100640/9311763. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 100641/9311790. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 100642/9311817. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a)) a)) REDUCED to normal form. ------ 100643/9311844. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) b)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) b)) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 100644/9311880. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 100645/9311961. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 100646/9312159. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 100647/9312186. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 100648/9312321. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100649/9312348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 100650/9312402. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 100651/9312456. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 100652/9312483. ------ 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)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 100653/9312519. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 100654/9312546. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100655/9312573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.a))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 100656/9312636. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 100657/9312663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 100658/9312717. ------ 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)(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. ------ 100659/9312744. ------ 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. ------ 100660/9312870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 6. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 100661/9312897. ------ 1. ==[ start ]==> ((((a a) a) a)((b a) c)) REDUCED to normal form. ------ 100662/9313122. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 100663/9313149. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 100664/9313248. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100665/9313266. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 100666/9313347. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(a b))) IRREDUCIBLE: cycle. ------ 100667/9313428. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> (b ((a (^z.z))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 100668/9313455. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 100669/9313518. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 100670/9313545. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 100671/9313572. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100672/9313599. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 100673/9313626. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 100674/9313662. ------ 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. ------ 100675/9313689. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a a))) REDUCED to normal form. ------ 100676/9313716. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 100677/9313743. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(b 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. ------ 100678/9313770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((^y.y)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((^x.x)(a (^y.(^z.z))))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 100679/9313797. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 100680/9313815. ------ 1. ==[ start ]==> (((^a.b) b)((b a) b)) 2. ==[ alpha ]==> (((^x.b) b)((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 100681/9314022. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 100682/9314076. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 100683/9314085. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 100684/9314103. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 100685/9314157. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 11. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 12. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 13. ==[ beta ]==> ((a a)((^y.y) a)) 14. ==[ alpha ]==> ((a a)((^x.x) a)) 15. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 100686/9314238. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 100687/9314364. ------ 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. ------ 100688/9314445. ------ 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. ------ 100689/9314463. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 100690/9314472. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 100691/9314526. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 100692/9314706. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a b) c)((a a) c)) REDUCED to normal form. ------ 100693/9314940. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.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))) REDUCED to normal form. ------ 100694/9314949. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 100695/9314976. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 100696/9315147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(b (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 100697/9315201. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 100698/9315228. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 100699/9315255. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 100700/9315282. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 100701/9315642. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(b (a a))) REDUCED to normal form. ------ 100702/9315705. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 100703/9315723. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (b ((a b)(a (^y.y)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 100704/9315732. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b) c)) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 100705/9315759. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a) d)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a) d)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a) d)) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 100706/9315831. ------ 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. ------ 100707/9315849. ------ 1. ==[ start ]==> (((a a)(b a))(c (^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.b))) REDUCED to normal form. ------ 100708/9315876. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 100709/9315930. ------ 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 a)) REDUCED to normal form. ------ 100710/9315957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 100711/9316011. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 100712/9316038. ------ 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.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 12. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 13. ==[ beta ]==> (((a a) a)(^y.y)) 14. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 100713/9316065. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 100714/9316110. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100715/9316119. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 100716/9316290. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 100717/9316398. ------ 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)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100718/9316425. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 100719/9316452. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 100720/9316506. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 100721/9316596. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 100722/9316623. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.a)) REDUCED to normal form. ------ 100723/9316650. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 100724/9316740. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 100725/9316767. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 100726/9316821. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 100727/9316848. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> ((a b)((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 100728/9316875. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 100729/9316902. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^c.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. ------ 100730/9316929. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.b)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.b)) REDUCED to normal form. ------ 100731/9317001. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^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. ------ 100732/9317046. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 100733/9317073. ------ 1. ==[ start ]==> (((^a.(^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.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 100734/9317208. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d d)) 3. ==[ beta ]==> (b (d d)) REDUCED to normal form. ------ 100735/9317325. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 100736/9317352. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a)) c)) 3. ==[ beta ]==> ((b a)((a (a a)) c)) REDUCED to normal form. ------ 100737/9317451. ------ 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. ------ 100738/9317487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100739/9317514. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(c c)) REDUCED to normal form. ------ 100740/9317532. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 100741/9317541. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) d)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 100742/9317649. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 100743/9317676. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.a))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.a))) REDUCED to normal form. ------ 100744/9317712. ------ 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) 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. ------ 100745/9317739. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 100746/9317766. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 100747/9317793. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 100748/9317820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 100749/9317847. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 100750/9317874. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 100751/9317982. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 100752/9318009. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 100753/9318036. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 100754/9318072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 100755/9318207. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b ((^z.z) a))) 3. ==[ beta ]==> (b (b ((^z.z) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 100756/9318315. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100757/9318351. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((b b)(a (^y.y))) 6. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 100758/9318378. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 100759/9318396. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b c)) 3. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 100760/9318432. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 100761/9318459. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) b)) REDUCED to normal form. ------ 100762/9318477. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (a (^y.y)))) 3. ==[ beta ]==> (((b a)(b a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((b a)(b a))(b (a (^x.x)))) REDUCED to normal form. ------ 100763/9318540. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 100764/9318558. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 100765/9318567. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.b)) c) REDUCED to normal form. ------ 100766/9318621. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 100767/9318666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100768/9318675. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a) b)) REDUCED to normal form. ------ 100769/9318702. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 100770/9318729. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) b) REDUCED to normal form. ------ 100771/9318765. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 100772/9318792. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 100773/9318819. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 100774/9326454. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.z) b)(^x1.(^y1.y1)))(^y.y)) 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)) REDUCED to normal form. ------ 100775/9326571. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (^y.((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (^x.((^y.(a a))((a a) a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 100776/9326763. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 100777/9326814. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 100778/9327114. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 100779/9327123. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 100780/9327789. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.z)) 5. ==[ beta ]==> (((^y.a)(^y.a))(^z.z)) 6. ==[ alpha ]==> (((^x.a)(^y.a))(^z.z)) 7. ==[ beta ]==> (a (^z.z)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100781/9328029. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 100782/9328209. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((^y.(^z.z)) d) b) 4. ==[ alpha ]==> (((^x.(^y.y)) d) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100783/9328419. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 100784/9328437. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100785/9328596. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.(((^z.a)((a a) a))((^z.a)((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.a)((a a) a))((^z.a)((a a) a)))) 5. ==[ beta ]==> (^x.(a ((^z.a)((a a) a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)((a a) a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 100786/9329031. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 100787/9329040. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 100788/9329877. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(b y))) 3. ==[ eta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 100789/9330234. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(^y.(y y)))) 3. ==[ eta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 100790/9331071. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 100791/9331083. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100792/9331497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(a b))) 5. ==[ beta ]==> ((^y.b)(^z.(a b))) 6. ==[ alpha ]==> ((^x.b)(^y.(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100793/9331674. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100794/9332406. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 100795/9332988. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(^y.y))) 3. ==[ beta ]==> ((((a (a a))(^y.y))((a (a a))(^y.y)))(((a (a a))(^y.y))((a (a a))(^y.y)))) 4. ==[ alpha ]==> ((((a (a a))(^x.x))((a (a a))(^y.y)))(((a (a a))(^z.z))((a (a a))(^x1.x1)))) REDUCED to normal form. ------ 100796/9333378. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 100797/9333522. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 100798/9333657. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 100799/9333747. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.a)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 100800/9333774. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 100801/9333822. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a (((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a (((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 100802/9333849. ------ 1. ==[ start ]==> (((a a) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 100803/9333867. ------ 1. ==[ start ]==> (((^a.a)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a a)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 100804/9333876. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 100805/9333912. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 100806/9333939. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 100807/9333948. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100808/9333975. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100809/9334056. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 100810/9334074. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.b))) REDUCED to normal form. ------ 100811/9334101. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 100812/9334137. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 100813/9334164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 100814/9334218. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100815/9334245. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)((a 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. ------ 100816/9334299. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 100817/9334407. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((^y.(a a))(^z.a))((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (((^x.(a a))(^y.a))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 100818/9334434. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100819/9334488. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100820/9334542. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100821/9334551. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 100822/9334578. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 100823/9334605. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 100824/9334641. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) b)) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 100825/9334713. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 100826/9334848. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 100827/9334875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(b a))) 5. ==[ beta ]==> (a (((^y.y) a)(b a))) 6. ==[ alpha ]==> (a (((^x.x) a)(b a))) 7. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 100828/9334902. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 100829/9334920. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.z))) 3. ==[ beta ]==> ((^y.y)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100830/9334929. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a) b)) REDUCED to normal form. ------ 100831/9334974. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 100832/9335046. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 100833/9335073. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 100834/9335100. ------ 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. ------ 100835/9335127. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 100836/9335154. ------ 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.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 9. ==[ beta ]==> ((a a)(^y.(a a))) 10. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 100837/9335217. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 100838/9335271. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (a ((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> (a ((^x.x)((^y.y) b))) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 100839/9335433. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 100840/9335514. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 100841/9335613. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y) a)) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) a)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) a)) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 100842/9335640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 100843/9335685. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 100844/9335694. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) d)) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 100845/9335847. ------ 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. ------ 100846/9335865. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 100847/9335874. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 100848/9335892. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 100849/9335901. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 100850/9335919. ------ 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 (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 100851/9336054. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 100852/9336081. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 100853/9336099. ------ 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. ------ 100854/9336126. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 100855/9336207. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 100856/9336234. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 100857/9336261. ------ 1. ==[ start ]==> (((a b)(a a))((b a) b)) REDUCED to normal form. ------ 100858/9336297. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100859/9336324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100860/9336378. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 7. ==[ beta ]==> ((^y.a)(^z.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 100861/9336459. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100862/9336468. ------ 1. ==[ start ]==> (((a b) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 100863/9336495. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (b a))) 3. ==[ beta ]==> (((a a) a)(b (b a))) REDUCED to normal form. ------ 100864/9336513. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 100865/9336522. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 100866/9336549. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)(a a))) REDUCED to normal form. ------ 100867/9336603. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 100868/9336630. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(a (a a)))) 7. ==[ beta ]==> (((a b)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 100869/9336657. ------ 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. ------ 100870/9336684. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 100871/9336711. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 100872/9336828. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 100873/9336855. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 100874/9336882. ------ 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. ------ 100875/9336909. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 100876/9336936. ------ 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. ------ 100877/9336999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 5. ==[ beta ]==> ((^y.(y y))(a b)) 6. ==[ alpha ]==> ((^x.(x x))(a b)) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 100878/9337134. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^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. ------ 100879/9337242. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100880/9337296. ------ 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. ------ 100881/9337332. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100882/9337359. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 100883/9337386. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 100884/9337413. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 100885/9337440. ------ 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))(^y.y))((a b) a)) REDUCED to normal form. ------ 100886/9337638. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 100887/9337665. ------ 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 a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 100888/9337692. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)(^y.a))) REDUCED to normal form. ------ 100889/9337719. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 100890/9337809. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a b))) 5. ==[ beta ]==> (b ((^z.a)(a b))) 6. ==[ alpha ]==> (b ((^x.a)(a b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100891/9337890. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100892/9337998. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 100893/9338061. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (a b))) REDUCED to normal form. ------ 100894/9338079. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 100895/9338088. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(b (a a))) REDUCED to normal form. ------ 100896/9338142. ------ 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. ------ 100897/9338169. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 100898/9338196. ------ 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. ------ 100899/9338223. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 100900/9338367. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.x))) REDUCED to normal form. ------ 100901/9338394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 100902/9338421. ------ 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. ------ 100903/9338448. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a (a a)))(^y.(y y))) 6. ==[ alpha ]==> (((a b)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 100904/9338475. ------ 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 (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 100905/9338556. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(a a)))) REDUCED to normal form. ------ 100906/9338565. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100907/9338646. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 100908/9338727. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100909/9338844. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 100910/9338871. ------ 1. ==[ start ]==> (((a 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) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1) a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1) a)) 7. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 100911/9338952. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 100912/9338979. ------ 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. ------ 100913/9339024. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (b ((^x1.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 100914/9339132. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100915/9339159. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 100916/9339177. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.b))) REDUCED to normal form. ------ 100917/9339204. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b) a)) REDUCED to normal form. ------ 100918/9339231. ------ 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. ------ 100919/9339393. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 100920/9339438. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100921/9339447. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 100922/9339645. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 100923/9339807. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.a))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 7. ==[ beta ]==> (b ((^y.a)(^y.a))) 8. ==[ alpha ]==> (b ((^x.a)(^y.a))) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 100924/9339834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100925/9339924. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 100926/9339951. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 100927/9339978. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 100928/9340005. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 100929/9340032. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 100930/9340077. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 100931/9340149. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 100932/9340176. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 100933/9340203. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((a (b a))((^y.y) a)) 6. ==[ alpha ]==> ((a (b a))((^x.x) a)) 7. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 100934/9340230. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a)) b)) REDUCED to normal form. ------ 100935/9340338. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) a)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 100936/9340365. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(b b)) REDUCED to normal form. ------ 100937/9340473. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 100938/9340509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 100939/9340644. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 100940/9340752. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100941/9340833. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 100942/9340860. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 100943/9340914. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 100944/9340977. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 100945/9340995. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 100946/9341004. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 100947/9341058. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 100948/9341103. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100949/9341112. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (a a))) REDUCED to normal form. ------ 100950/9341139. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 100951/9341166. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 100952/9341202. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.x))) REDUCED to normal form. ------ 100953/9341229. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 100954/9341256. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 100955/9341282. ------ 1. ==[ start ]==> (^a.((a (a a))(b a))) 2. ==[ alpha ]==> (^x.((x (x x))(b x))) REDUCED to normal form. ------ 100956/9341283. ------ 1. ==[ start ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 100957/9348768. ------ 1. ==[ start ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 100958/9348774. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 3. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 100959/9348801. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.y) a)(a (^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. ------ 100960/9348828. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 100961/9349026. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (^x.((a a)(^z.a))) 6. ==[ alpha ]==> (^x.((a a)(^y.a))) REDUCED to normal form. ------ 100962/9349227. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(a a)))) REDUCED to normal form. ------ 100963/9349269. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 100964/9349578. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 100965/9349593. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 100966/9349719. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100967/9349929. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 100968/9350244. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 100969/9350586. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a (a a)) a)(^x.b)) REDUCED to normal form. ------ 100970/9350664. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a)) b) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a)) b) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 100971/9351051. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.a))(((a a) a)(^z.a)))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.a))(((a a) a)(^z.a)))) REDUCED to normal form. ------ 100972/9351495. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 100973/9354129. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100974/9354366. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(z b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y b))) REDUCED to normal form. ------ 100975/9354444. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 100976/9355311. ------ 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.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^y.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 100977/9355419. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(a (a a)))) 3. ==[ beta ]==> ((b (a a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((b (a a))(^x.(a (a a)))) REDUCED to normal form. ------ 100978/9355761. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 100979/9355833. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 100980/9355842. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 100981/9356112. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 100982/9356202. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.b)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.b)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 100983/9356229. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 100984/9356256. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 100985/9356268. ------ 1. ==[ start ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 100986/9356295. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 100987/9356322. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 100988/9356340. ------ 1. ==[ start ]==> (((a a)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 100989/9356412. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 100990/9356421. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(a (^y.y))) 4. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 100991/9356439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 100992/9356448. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 100993/9356466. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 100994/9356493. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 100995/9356520. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 100996/9356556. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 100997/9356601. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 100998/9356637. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (^x.x)) b)((b a)(b a))) REDUCED to normal form. ------ 100999/9356664. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(a (^a.(^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) REDUCED to normal form. ------ 101000/9356682. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.z))) 5. ==[ beta ]==> (a ((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 101001/9356691. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 101002/9356718. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 101003/9356763. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 101004/9356934. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 101005/9356961. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 101006/9357015. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 101007/9357042. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 101008/9357087. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 101009/9357105. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a a))) REDUCED to normal form. ------ 101010/9357132. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 101011/9357159. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((b a) a)) REDUCED to normal form. ------ 101012/9357186. ------ 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. ------ 101013/9357213. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 101014/9357366. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 101015/9357393. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 101016/9357420. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 101017/9357438. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 101018/9357447. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 101019/9357474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101020/9357735. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.z))) 5. ==[ beta ]==> (a ((a a)(^z.z))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 101021/9357771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101022/9357798. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 101023/9357816. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a) c)) 3. ==[ beta ]==> (((a a) a)((b a) c)) REDUCED to normal form. ------ 101024/9357852. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 101025/9357879. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 101026/9357906. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 101027/9357960. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 101028/9358050. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (a a)))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a (a a)))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 101029/9358077. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) a)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a)) a)(a ((^x.x) b))) 5. ==[ beta ]==> (((a (a a)) a)(a b)) REDUCED to normal form. ------ 101030/9358104. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 101031/9358131. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 101032/9358158. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((a (a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 101033/9358167. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) d)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 101034/9358338. ------ 1. ==[ start ]==> (((a b) a)(c (^d.a))) 2. ==[ alpha ]==> (((a b) a)(c (^x.a))) REDUCED to normal form. ------ 101035/9358365. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101036/9358419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101037/9358437. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 101038/9358473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101039/9358500. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 101040/9358518. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 101041/9358527. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 101042/9358545. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 101043/9358716. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 101044/9358761. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y)) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101045/9358932. ------ 1. ==[ start ]==> (((a b) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 101046/9358986. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101047/9359004. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101048/9359211. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 101049/9359238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 101050/9359265. ------ 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. ------ 101051/9359364. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 101052/9359463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 101053/9359598. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((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. ------ 101054/9359607. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 101055/9359634. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 101056/9359661. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 101057/9359715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 101058/9359742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.b))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 101059/9359796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101060/9359940. ------ 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. ------ 101061/9359967. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 101062/9359994. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a (a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 101063/9360021. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (a b))) REDUCED to normal form. ------ 101064/9360048. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 11. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 101065/9360075. ------ 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. ------ 101066/9360273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 7. ==[ beta ]==> (b (a (^y.b))) 8. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 101067/9360354. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 101068/9360417. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 101069/9360525. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 101070/9360552. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 101071/9360624. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101072/9360750. ------ 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. ------ 101073/9360777. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 101074/9360804. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 101075/9361011. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101076/9361029. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101077/9361110. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a) c)) 5. ==[ beta ]==> ((a a)(((a a) a) c)) REDUCED to normal form. ------ 101078/9361299. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101079/9361416. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 101080/9361443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.b))) 5. ==[ beta ]==> ((^y.b)(b (^z.b))) 6. ==[ alpha ]==> ((^x.b)(b (^y.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101081/9361488. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (b ((a b)(^x1.x1))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 101082/9361497. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 101083/9361551. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 101084/9361596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101085/9361605. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 101086/9361623. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 101087/9361803. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))(c (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 101088/9361830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(b ((a a) a))) REDUCED to normal form. ------ 101089/9361857. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a b))) REDUCED to normal form. ------ 101090/9361911. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(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. ------ 101091/9361938. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a b)((a (a a)) a)) REDUCED to normal form. ------ 101092/9362109. ------ 1. ==[ start ]==> (((^a.b)(^c.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. ------ 101093/9362217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101094/9362226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 101095/9362253. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 101096/9362271. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a)) c)) 3. ==[ beta ]==> (((^y.y) b)((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x) b)((a (a a)) c)) 5. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 101097/9362280. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 101098/9362307. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 101099/9362433. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y)) c)) 3. ==[ beta ]==> (b ((^y.(y y)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 101100/9362442. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.a))) REDUCED to normal form. ------ 101101/9362469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 101102/9362496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 101103/9362541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 101104/9362550. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 101105/9362577. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 101106/9362613. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c d)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c d)) 3. ==[ beta ]==> (((a a) b)(c d)) REDUCED to normal form. ------ 101107/9362748. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c ((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(c a)) REDUCED to normal form. ------ 101108/9362775. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (a (a a)))) REDUCED to normal form. ------ 101109/9362802. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 101110/9362829. ------ 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. ------ 101111/9362883. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 101112/9362910. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(a (a a)))) 3. ==[ beta ]==> ((b (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 101113/9362973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 101114/9363108. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 101115/9363216. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101116/9363252. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.(y y)))) 3. ==[ beta ]==> ((b b)(a (^y.(y y)))) 4. ==[ alpha ]==> ((b b)(a (^x.(x x)))) REDUCED to normal form. ------ 101117/9363279. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 101118/9363297. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 101119/9363324. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 101120/9363333. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 101121/9363360. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 101122/9363378. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y)) b)) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y)) b)) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x)) b)) REDUCED to normal form. ------ 101123/9363441. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 101124/9363459. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 101125/9363468. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 101126/9363522. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 101127/9363567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101128/9363576. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 101129/9363603. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101130/9363630. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.y))) REDUCED to normal form. ------ 101131/9363666. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b a)) REDUCED to normal form. ------ 101132/9363693. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a b)) 3. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 101133/9363720. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101134/9363747. ------ 1. ==[ start ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 101135/9364578. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101136/9370428. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101137/9371241. ------ 1. ==[ start ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 101138/9371265. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101139/9371310. ------ 1. ==[ start ]==> ((^a.b)(c (^b.b))) 2. ==[ alpha ]==> ((^x.b)(c (^y.y))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 101140/9371346. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101141/9372075. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101142/9372078. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 101143/9372633. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1)(a a)))((^y.(^z.z))((^x1.x1)(a a))))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a))))((^x2.(^y2.y2))((^z2.z2)(a a)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a))))((^x2.(^y2.y2))((^z2.z2)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(a a))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101144/9373068. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 101145/9373689. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 101146/9373995. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 101147/9374283. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 101148/9374832. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> (((^x.b)((^y.y) a)) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 101149/9375171. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)((^z.z) a))) 3. ==[ eta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 101150/9375720. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 101151/9375822. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 101152/9376008. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101153/9376659. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a y))) 3. ==[ eta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 101154/9376848. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.y))) REDUCED to normal form. ------ 101155/9377658. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))(^x.(^z.z))) 6. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 101156/9377793. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101157/9377925. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 101158/9377928. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 101159/9378324. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 101160/9378594. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 101161/9378657. ------ 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. ------ 101162/9378684. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 101163/9378711. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101164/9378738. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 101165/9378768. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 101166/9378795. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 101167/9378813. ------ 1. ==[ start ]==> ((a b)(c (^b.b))) 2. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 101168/9378822. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a a)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a a)((a (^x.x)) b)) REDUCED to normal form. ------ 101169/9378849. ------ 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. ------ 101170/9378885. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 101171/9378912. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 101172/9378939. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 101173/9378966. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 101174/9378993. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101175/9379029. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 101176/9379047. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 101177/9379056. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 101178/9379155. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 101179/9379182. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 101180/9379236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 101181/9379272. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 101182/9379299. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101183/9379551. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 101184/9379578. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 101185/9379713. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101186/9379740. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 101187/9379794. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 11. ==[ beta ]==> ((^y.y)(a a)) 12. ==[ alpha ]==> ((^x.x)(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101188/9379848. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 7. ==[ beta ]==> (((^y.y) a)(b a)) 8. ==[ alpha ]==> (((^x.x) a)(b a)) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 101189/9379875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(a (^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)))) REDUCED to normal form. ------ 101190/9379938. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 101191/9379965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101192/9380055. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 101193/9380082. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 101194/9380136. ------ 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. ------ 101195/9380262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b) a)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b) a)) 5. ==[ beta ]==> (b (((^y.y) b) a)) 6. ==[ alpha ]==> (b (((^x.x) b) a)) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 101196/9380289. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 101197/9380541. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 101198/9380568. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 101199/9380658. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 101200/9380739. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)((a a) a))) IRREDUCIBLE: cycle. ------ 101201/9380820. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 101202/9380847. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(b a))) REDUCED to normal form. ------ 101203/9380874. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(a (^z.(^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. ------ 101204/9380910. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 101205/9380937. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 101206/9380964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101207/9380991. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 101208/9381018. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 101209/9381054. ------ 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. ------ 101210/9381081. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 101211/9381108. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(((^z.z)(a a))((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((a a)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 11. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 101212/9381135. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 101213/9381162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 7. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 101214/9381189. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 101215/9381207. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 101216/9381216. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 101217/9381468. ------ 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. ------ 101218/9381495. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (a (^a.(^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. ------ 101219/9381504. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 101220/9381549. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 11. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 12. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 101221/9381558. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^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. ------ 101222/9381630. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 101223/9381729. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 101224/9381783. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101225/9381855. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 101226/9381864. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 101227/9381891. ------ 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. ------ 101228/9382098. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 101229/9382125. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a)) c)) 5. ==[ beta ]==> (((a a) b)((a a) c)) REDUCED to normal form. ------ 101230/9382332. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 101231/9382395. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 101232/9382566. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 101233/9382647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 101234/9382674. ------ 1. ==[ start ]==> ((a (b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 101235/9382908. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b) c)) REDUCED to normal form. ------ 101236/9383034. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (a b))) 3. ==[ beta ]==> (((a b)(a b))(c (a b))) REDUCED to normal form. ------ 101237/9383097. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 101238/9383115. ------ 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. ------ 101239/9383124. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 101240/9383151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b) c)) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 101241/9383223. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 101242/9383295. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 101243/9383322. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 101244/9383349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 101245/9383376. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 101246/9383403. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 101247/9383430. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 101248/9383457. ------ 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.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 101249/9383502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101250/9383511. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^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. ------ 101251/9383790. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101252/9383799. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 101253/9383817. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 101254/9383844. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((^y.y)((^z.z) a)) 8. ==[ alpha ]==> ((^x.x)((^y.y) a)) 9. ==[ beta ]==> ((^y.y) a) 10. ==[ alpha ]==> ((^x.x) a) 11. ==[ beta ]==> a REDUCED to normal form. ------ 101255/9383898. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 11. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 12. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 101256/9383988. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 101257/9384015. ------ 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 a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 101258/9384042. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.a)) REDUCED to normal form. ------ 101259/9384096. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 101260/9384132. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((a 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. ------ 101261/9384159. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a b)) REDUCED to normal form. ------ 101262/9384186. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 101263/9384240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 101264/9384267. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 101265/9384294. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^b.(^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. ------ 101266/9384348. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.b)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.b)) REDUCED to normal form. ------ 101267/9384393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.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. ------ 101268/9384438. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 101269/9384465. ------ 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.z1) a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) 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. ------ 101270/9384717. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a) a)) REDUCED to normal form. ------ 101271/9384744. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((b a)((^y.y) b)) 6. ==[ alpha ]==> ((b a)((^x.x) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 101272/9384771. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) c)) REDUCED to normal form. ------ 101273/9384843. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 101274/9384879. ------ 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. ------ 101275/9384906. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 101276/9384924. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (b ((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 101277/9384933. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(c c)) REDUCED to normal form. ------ 101278/9385041. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.y1)) REDUCED to normal form. ------ 101279/9385068. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 101280/9385104. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a) 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. ------ 101281/9385131. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 101282/9385158. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (b a))(^y.y)) 8. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 101283/9385185. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 101284/9385212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 101285/9385239. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 101286/9385266. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 101287/9385293. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101288/9385401. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.(y y)))) 3. ==[ beta ]==> ((b (a a))(b (^y.(y y)))) 4. ==[ alpha ]==> ((b (a a))(b (^x.(x x)))) REDUCED to normal form. ------ 101289/9385428. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 101290/9385599. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 101291/9385707. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101292/9385770. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.x))) REDUCED to normal form. ------ 101293/9385815. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 101294/9385824. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 101295/9385851. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 101296/9385869. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (a a))) 3. ==[ beta ]==> (((b a)(b a))(c (a a))) REDUCED to normal form. ------ 101297/9385932. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 101298/9385950. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(a a))) 3. ==[ beta ]==> (b ((a (^y.y))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 101299/9385959. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 101300/9386013. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 101301/9386067. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1)) a)) REDUCED to normal form. ------ 101302/9386094. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 101303/9386121. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 101304/9386157. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 101305/9386184. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 101306/9386211. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101307/9386238. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 101308/9387078. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101309/9393741. ------ 1. ==[ start ]==> (((a (a a))(b a)) c) REDUCED to normal form. ------ 101310/9393855. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101311/9393867. ------ 1. ==[ start ]==> (((^a.a) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> (b (^y.((a a)(a a)))) 4. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 101312/9393900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(^z.z))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 101313/9394017. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101314/9394089. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)(^z.(a a)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 101315/9394584. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101316/9394587. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 101317/9394920. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))(^y.b)) REDUCED to normal form. ------ 101318/9395142. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((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))))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a))))(((^x2.x2)(^y2.y2))(^z2.(a a)))) 5. ==[ beta ]==> ((((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a))))(((^x2.x2)(^y2.y2))(^z2.(a a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a))))(((^z1.z1)(^x2.x2))(^y2.(a a)))) 7. ==[ beta ]==> (((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a))))(((^z1.z1)(^x2.x2))(^y2.(a a)))) 8. ==[ alpha ]==> (((^x.(a a))(((^y.y)(^z.z))(^x1.(a a))))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 9. ==[ beta ]==> ((a a)(((^y1.y1)(^z1.z1))(^x2.(a a)))) 10. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 13. ==[ beta ]==> ((a a)(^y.(a a))) 14. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 101319/9395475. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 101320/9396042. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.b)((^x1.x1)(^y1.y1)))((^z.b)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.b)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.(b ((^y1.b)((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.(b ((^y.b)((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 101321/9396249. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a) b)) 3. ==[ beta ]==> ((^y.y)(((b a) b)((b a) b))) 4. ==[ alpha ]==> ((^x.x)(((b a) b)((b a) b))) 5. ==[ beta ]==> (((b a) b)((b a) b)) REDUCED to normal form. ------ 101322/9396504. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101323/9396513. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 101324/9396924. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((a a) a)(^z.(^x1.x1)))(((a a) a)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 101325/9397350. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(b y))) 3. ==[ eta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 101326/9397680. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(^y.a))) 3. ==[ eta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 101327/9397854. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 101328/9398106. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 101329/9398517. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 101330/9398988. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 101331/9399120. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101332/9399168. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.b))) REDUCED to normal form. ------ 101333/9399435. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^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. ------ 101334/9399717. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101335/9399888. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((z z) z))) 5. ==[ beta ]==> ((^y.(a a))(^z.((z z) z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((y y) y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101336/9400167. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 101337/9400752. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z) a))) 3. ==[ beta ]==> ((b b)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 101338/9400941. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 101339/9401067. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101340/9401076. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.c)) REDUCED to normal form. ------ 101341/9401130. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 101342/9401166. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 101343/9401193. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 101344/9401247. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 101345/9401295. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(b a))) 3. ==[ beta ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 101346/9401322. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 101347/9401349. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 101348/9401367. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 101349/9401376. ------ 1. ==[ start ]==> (((^a.a) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)((a a)(a a)))) REDUCED to normal form. ------ 101350/9401412. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 101351/9401448. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 101352/9401475. ------ 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.z1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101353/9401529. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 101354/9401574. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.b))) REDUCED to normal form. ------ 101355/9401601. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 101356/9401610. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 101357/9401637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101358/9401691. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(a (^a.(^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) REDUCED to normal form. ------ 101359/9401718. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101360/9401790. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) b)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) b)) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 101361/9401907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101362/9401988. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 101363/9402069. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 101364/9402078. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 101365/9402096. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 101366/9402141. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^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. ------ 101367/9402186. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)((^y.y) a))) 3. ==[ beta ]==> ((b b)((b a)((^y.y) a))) 4. ==[ alpha ]==> ((b b)((b a)((^x.x) a))) 5. ==[ beta ]==> ((b b)((b a) a)) REDUCED to normal form. ------ 101368/9402321. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)((^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. ------ 101369/9402348. ------ 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. ------ 101370/9402375. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 101371/9402402. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 101372/9402429. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.a))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a (^x.a))((a a) b)) REDUCED to normal form. ------ 101373/9402519. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 101374/9402546. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 101375/9402573. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 101376/9402600. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.a))) REDUCED to normal form. ------ 101377/9402627. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.b))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.b))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 101378/9402654. ------ 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. ------ 101379/9402690. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((a a)(^z1.z1)))) 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. ------ 101380/9402744. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 101381/9402825. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 101382/9402906. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 101383/9402987. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 101384/9403113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 101385/9403140. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 101386/9403158. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(a (^y.y)))) 3. ==[ beta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 101387/9403320. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a (a a))(a a))) REDUCED to normal form. ------ 101388/9403347. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 101389/9403365. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 101390/9403374. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(b a))) REDUCED to normal form. ------ 101391/9403392. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 101392/9403446. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(a a))) 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. ------ 101393/9403527. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101394/9403554. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 101395/9403572. ------ 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. ------ 101396/9403599. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.b)) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.b)) REDUCED to normal form. ------ 101397/9403626. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 101398/9403707. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101399/9403734. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 101400/9403761. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a) b)) 3. ==[ beta ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 101401/9403797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^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. ------ 101402/9403851. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 101403/9403932. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101404/9403995. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (b a))) REDUCED to normal form. ------ 101405/9404013. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 101406/9404022. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 101407/9404076. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 101408/9404103. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((^z.z) a))) 7. ==[ beta ]==> ((((^y.y)(a a))((^z.z) a))(((^y.y)(a a))((^z.z) a))) 8. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 9. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a))) 10. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 11. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z) a))) 12. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y) a))) 13. ==[ beta ]==> (((a a) a)((a a)((^y.y) a))) 14. ==[ alpha ]==> (((a a) a)((a a)((^x.x) a))) 15. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 101409/9404130. ------ 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. ------ 101410/9404157. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 101411/9404184. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 101412/9404328. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.y))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.x))) REDUCED to normal form. ------ 101413/9404355. ------ 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. ------ 101414/9404382. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 101415/9404409. ------ 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. ------ 101416/9404436. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 101417/9404472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101418/9404688. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 101419/9404769. ------ 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. ------ 101420/9404805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c ((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101421/9404832. ------ 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. ------ 101422/9404859. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (b a))) REDUCED to normal form. ------ 101423/9404886. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 101424/9404913. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 101425/9405138. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 101426/9405165. ------ 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 a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 101427/9405192. ------ 1. ==[ start ]==> ((a (b a))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.a))) REDUCED to normal form. ------ 101428/9405282. ------ 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. ------ 101429/9405363. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 101430/9405471. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 101431/9405498. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101432/9405552. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.b))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 101433/9405561. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (a b))) REDUCED to normal form. ------ 101434/9405615. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 101435/9405642. ------ 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. ------ 101436/9405669. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 101437/9405696. ------ 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. ------ 101438/9405867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 101439/9405894. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 101440/9405921. ------ 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. ------ 101441/9405948. ------ 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.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(y y)))) 9. ==[ beta ]==> (((a a) a)(^y.(y y))) 10. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 101442/9405975. ------ 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 (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 101443/9406029. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 101444/9406038. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101445/9406119. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 101446/9406200. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101447/9406317. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(a a))) REDUCED to normal form. ------ 101448/9406344. ------ 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)(a (^x1.x1)))) REDUCED to normal form. ------ 101449/9406425. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 101450/9406452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101451/9406497. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (b (a (^x1.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 101452/9406605. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101453/9406632. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 101454/9406677. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.b))) REDUCED to normal form. ------ 101455/9406704. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 101456/9406731. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a) b)) REDUCED to normal form. ------ 101457/9406758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) c)) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) c)) 7. ==[ beta ]==> ((a b)((^y.y) c)) 8. ==[ alpha ]==> ((a b)((^x.x) c)) 9. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 101458/9406911. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((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. ------ 101459/9406947. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^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. ------ 101460/9407118. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101461/9407226. ------ 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 a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)((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. ------ 101462/9407280. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101463/9407307. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 101464/9407361. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 101465/9407397. ------ 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. ------ 101466/9407424. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 101467/9407451. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 101468/9407478. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 101469/9407505. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 101470/9407622. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a) 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. ------ 101471/9407649. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 101472/9407676. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 101473/9407703. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^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. ------ 101474/9407730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a)) b)) 7. ==[ beta ]==> ((a a)((a (a a)) b)) REDUCED to normal form. ------ 101475/9407757. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a) c)) 3. ==[ beta ]==> ((((a a) a)(a b))(a c)) REDUCED to normal form. ------ 101476/9407838. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 101477/9407892. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 101478/9407982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a a))) 5. ==[ beta ]==> ((^y.(y y))(a a)) 6. ==[ alpha ]==> ((^x.(x x))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 101479/9408117. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 101480/9408225. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101481/9408261. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)((^y.y) a))) 3. ==[ beta ]==> ((b b)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((b b)((a a)((^x.x) a))) 5. ==[ beta ]==> ((b b)((a a) a)) REDUCED to normal form. ------ 101482/9408306. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 101483/9408333. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101484/9408342. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 101485/9408387. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.y))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 101486/9408450. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 101487/9408468. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 101488/9408477. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 101489/9408531. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c a)) REDUCED to normal form. ------ 101490/9408576. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101491/9408585. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a c)) REDUCED to normal form. ------ 101492/9408612. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 101493/9408639. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 101494/9408675. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x) b)) 3. ==[ beta ]==> (((a a)((a a)(a a))) b) REDUCED to normal form. ------ 101495/9408702. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 101496/9408729. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101497/9408756. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x) a)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 101498/9408782. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((x x)(^x1.x1)))) 3. ==[ beta ]==> (^x.((^z.z)((x x)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.y)((x x)(^z.z)))) 5. ==[ beta ]==> (^x.((x x)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 101499/9408783. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 101500/9416295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a))) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z))) a) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z))) a) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) a) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 101501/9416301. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^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. ------ 101502/9416328. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a))(b a))((a (a a))(b a))) REDUCED to normal form. ------ 101503/9416355. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 101504/9416553. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 101505/9416781. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 101506/9416796. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 101507/9417141. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((x x)(x x)))) REDUCED to normal form. ------ 101508/9417246. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101509/9417807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(^y.y)) b)(^x1.x1)) 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. ------ 101510/9418140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 101511/9418191. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((b a)(a (^y.y))) b) 4. ==[ alpha ]==> (((b a)(a (^x.x))) b) REDUCED to normal form. ------ 101512/9418455. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 101513/9418578. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 101514/9418752. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 101515/9419049. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 101516/9420138. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 101517/9420390. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 101518/9420642. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101519/9420867. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(^x.(a a))) REDUCED to normal form. ------ 101520/9421533. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 101521/9421656. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^b.(^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. ------ 101522/9421971. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 101523/9422262. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((a a) a))) REDUCED to normal form. ------ 101524/9422424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101525/9422865. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 101526/9422970. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a (a a)))((a a)(a (a a))))(((a a)(a (a a)))((a a)(a (a a))))) REDUCED to normal form. ------ 101527/9423315. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 101528/9423396. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 101529/9423477. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 101530/9423558. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 101531/9423612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 101532/9423666. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101533/9423756. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101534/9423783. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(x x))) REDUCED to normal form. ------ 101535/9423810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 101536/9423822. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 101537/9423849. ------ 1. ==[ start ]==> ((a (a a))((a (a a))(b a))) REDUCED to normal form. ------ 101538/9423876. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(a (^a.(^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. ------ 101539/9423921. ------ 1. ==[ start ]==> (((^a.a) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(b (^y.(a a)))) 3. ==[ beta ]==> (b (b (^y.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 101540/9423930. ------ 1. ==[ start ]==> (((a a)(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 101541/9423966. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101542/9423975. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(a a))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 101543/9423993. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.(^z1.z1)))) 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. ------ 101544/9424002. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(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. ------ 101545/9424020. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 101546/9424029. ------ 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.z1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101547/9424047. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 101548/9424074. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 101549/9424110. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101550/9424155. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 101551/9424191. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 101552/9424218. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(b a))) 3. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 5. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 101553/9424236. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 101554/9424245. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 101555/9424263. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 101556/9424272. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 101557/9424299. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 101558/9424317. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 101559/9424488. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.b))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 101560/9424542. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 101561/9424596. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 101562/9424623. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 101563/9424659. ------ 1. ==[ start ]==> (((a a)(a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 101564/9424686. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (a a))) REDUCED to normal form. ------ 101565/9424713. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 101566/9424740. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a a))((b a) a)) REDUCED to normal form. ------ 101567/9424767. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 101568/9424974. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 101569/9425028. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101570/9425235. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 101571/9425289. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101572/9425325. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 101573/9425352. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 101574/9425370. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 101575/9425397. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 101576/9425460. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^b.(^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. ------ 101577/9425487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101578/9425631. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a)) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 101579/9425658. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 101580/9425685. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 101581/9425712. ------ 1. ==[ start ]==> ((a (a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((b a)(a (^x.x)))) REDUCED to normal form. ------ 101582/9425919. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 101583/9425973. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 101584/9425991. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 101585/9426000. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 101586/9426072. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 101587/9426081. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 101588/9426099. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 101589/9426270. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 101590/9426315. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a) b)) 3. ==[ beta ]==> ((^y.(a a))((b a) b)) 4. ==[ alpha ]==> ((^x.(a a))((b a) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101591/9426342. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 101592/9426486. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a b) b)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 101593/9426513. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 101594/9426567. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101595/9426765. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a b))) REDUCED to normal form. ------ 101596/9426792. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a (a a))) REDUCED to normal form. ------ 101597/9426819. ------ 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. ------ 101598/9426846. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(b a))) REDUCED to normal form. ------ 101599/9426918. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101600/9427017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 101601/9427152. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 101602/9427161. ------ 1. ==[ start ]==> (((a b) c)((^d.a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 101603/9427188. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 101604/9427215. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 101605/9427269. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 101606/9427296. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 101607/9427350. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101608/9427494. ------ 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. ------ 101609/9427521. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 101610/9427548. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a b))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 9. ==[ beta ]==> ((a (a b))(^y.y)) 10. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 101611/9427575. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))((a a) a))) REDUCED to normal form. ------ 101612/9427602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a b))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(a b))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 9. ==[ beta ]==> (((^y.y) a)(a b)) 10. ==[ alpha ]==> (((^x.x) a)(a b)) 11. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 101613/9427629. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 101614/9427656. ------ 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. ------ 101615/9427827. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.a))) 5. ==[ beta ]==> (b ((a (a a))(^z.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 101616/9427908. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 101617/9427971. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 101618/9428079. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.a))) 7. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 101619/9428106. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 101620/9428160. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 101621/9428178. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101622/9428304. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))((^x.x)(^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. ------ 101623/9428331. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 101624/9428358. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(a b))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 101625/9428385. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(a a))) REDUCED to normal form. ------ 101626/9428565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^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. ------ 101627/9428583. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101628/9428664. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b) b)) 5. ==[ beta ]==> ((a a)((a b) b)) REDUCED to normal form. ------ 101629/9428853. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101630/9428880. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 101631/9428907. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) c)) 3. ==[ beta ]==> ((^y.y)((^z.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101632/9428997. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.a))) 5. ==[ beta ]==> ((^y.b)(c (^z.a))) 6. ==[ alpha ]==> ((^x.b)(c (^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101633/9429051. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 101634/9429078. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 101635/9429105. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 101636/9429150. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101637/9429159. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(a (a a)))) REDUCED to normal form. ------ 101638/9429177. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^b.(^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. ------ 101639/9429411. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b ((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b ((a a) a))) REDUCED to normal form. ------ 101640/9429465. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 101641/9429492. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a b)(a (^y.y))) 8. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 101642/9429501. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^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. ------ 101643/9429663. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 101644/9429780. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a a) a)) REDUCED to normal form. ------ 101645/9429807. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 101646/9429825. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 101647/9429834. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 101648/9429861. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.a)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 101649/9429942. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101650/9429987. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101651/9430131. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 101652/9430329. ------ 1. ==[ start ]==> (((a b)((a a) a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(c ((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))(c a)) REDUCED to normal form. ------ 101653/9430356. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 101654/9430383. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 101655/9430437. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 101656/9430464. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b (a a))((a (^x.x)) a)) REDUCED to normal form. ------ 101657/9430491. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 101658/9430527. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 101659/9430662. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 101660/9430770. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101661/9430806. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.a))) 3. ==[ beta ]==> ((b b)(b (^y.a))) 4. ==[ alpha ]==> ((b b)(b (^x.a))) REDUCED to normal form. ------ 101662/9430833. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.(x x)))) REDUCED to normal form. ------ 101663/9430851. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 101664/9430878. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101665/9430887. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 101666/9430914. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) a)) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 101667/9430932. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a) a)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a) a)) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 101668/9430995. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 101669/9431013. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 101670/9431022. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 101671/9431076. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 101672/9431121. ------ 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)(^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. ------ 101673/9431130. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.x1))) REDUCED to normal form. ------ 101674/9431157. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 101675/9431184. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101676/9431220. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 101677/9431247. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b a)) 3. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 101678/9431274. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101679/9431301. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (a a))) REDUCED to normal form. ------ 101680/9431328. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a a)) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 101681/9438849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a))) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z))) b) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z))) b) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y))) b) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 101682/9438873. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101683/9438954. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101684/9439188. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(a b))) 3. ==[ eta ]==> ((^y.y)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101685/9439683. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101686/9439704. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 101687/9440370. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 101688/9440703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^b.b))) 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. ------ 101689/9441315. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101690/9441324. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 101691/9441348. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))(^z1.z1))((^z.(^x1.(^y1.y1)))(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))(^y1.y1))((^z1.(^x2.(^y2.y2)))(^z2.z2)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1))((^z1.(^x2.(^y2.y2)))(^z2.z2))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101692/9441918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101693/9442023. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((^z.b)(a (a a)))((^z.b)(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(a (a a)))((^y.b)(a (a a))))(^z.z)) 5. ==[ beta ]==> ((b ((^y.b)(a (a a))))(^z.z)) 6. ==[ alpha ]==> ((b ((^x.b)(a (a a))))(^y.y)) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 101694/9442779. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(a (^z.z)))) 3. ==[ eta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101695/9443223. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (b (^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 101696/9443328. ------ 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))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 101697/9443616. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^x1.a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)((a a) a))(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 101698/9443898. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101699/9444087. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (b (^x1.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 101700/9444294. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) a)((a a)(^y.y))) a) 4. ==[ beta ]==> ((a ((a a)(^y.y))) a) 5. ==[ alpha ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 101701/9444825. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.a))) REDUCED to normal form. ------ 101702/9445293. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 101703/9445428. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101704/9445533. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.(y y)))) 3. ==[ beta ]==> (((b (^y.(y y)))(b (^y.(y y))))((b (^y.(y y)))(b (^y.(y y))))) 4. ==[ alpha ]==> (((b (^x.(x x)))(b (^y.(y y))))((b (^z.(z z)))(b (^x1.(x1 x1))))) REDUCED to normal form. ------ 101705/9446040. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 101706/9446058. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b)(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(a b))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101707/9446121. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.c)) REDUCED to normal form. ------ 101708/9446175. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 101709/9446292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 101710/9446319. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101711/9446346. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 101712/9446373. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101713/9446403. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 101714/9446430. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 101715/9446457. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 101716/9446484. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 101717/9446502. ------ 1. ==[ start ]==> (((a a)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 101718/9446547. ------ 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. ------ 101719/9446574. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^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. ------ 101720/9446601. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 101721/9446628. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.(z z)))) REDUCED to normal form. ------ 101722/9446682. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 101723/9446691. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 101724/9446718. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a b))) 3. ==[ beta ]==> ((a a)((^y.b)(a b))) 4. ==[ alpha ]==> ((a a)((^x.b)(a b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 101725/9446763. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 101726/9446817. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101727/9446844. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 101728/9446934. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 101729/9446961. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 101730/9447213. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 101731/9447303. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 101732/9447348. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101733/9447375. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 101734/9447429. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 101735/9447483. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 101736/9447510. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(b a))) 5. ==[ beta ]==> (((^y.y) a)(b a)) 6. ==[ alpha ]==> (((^x.x) a)(b a)) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 101737/9447564. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 101738/9447600. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.z))) 7. ==[ beta ]==> (((^y.y) b)(^z.z)) 8. ==[ alpha ]==> (((^x.x) b)(^y.y)) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101739/9447636. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 101740/9447717. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 101741/9447744. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 101742/9447897. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^b.b))) 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. ------ 101743/9447924. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b) a)) 3. ==[ beta ]==> ((((a a) a) a)(b a)) REDUCED to normal form. ------ 101744/9447978. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a) c)) REDUCED to normal form. ------ 101745/9448122. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 101746/9448203. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 101747/9448230. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 101748/9448275. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 101749/9448293. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.b)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.b)((b a)(a (^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 101750/9448374. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((^z.z)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 101751/9448455. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 101752/9448482. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 101753/9448509. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 101754/9448572. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 101755/9448599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101756/9448626. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 101757/9448653. ------ 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)(^x.x))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 101758/9448689. ------ 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. ------ 101759/9448743. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 101760/9448770. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 101761/9448797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.a)((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101762/9448824. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 101763/9448842. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 101764/9448851. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 101765/9448878. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 101766/9449130. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 101767/9449184. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 9. ==[ beta ]==> ((^y.y)((b a)(a a))) 10. ==[ alpha ]==> ((^x.x)((b a)(a a))) 11. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 101768/9449265. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 101769/9449445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 101770/9449490. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 101771/9449499. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 101772/9449526. ------ 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. ------ 101773/9449553. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 101774/9449733. ------ 1. ==[ start ]==> (((a b) c)((b a) a)) REDUCED to normal form. ------ 101775/9449760. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 101776/9449967. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (b (b ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 101777/9450228. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 101778/9450309. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 101779/9450543. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) b)) REDUCED to normal form. ------ 101780/9450750. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (b (a ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 101781/9450759. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 101782/9450786. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 101783/9450813. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 101784/9450858. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 101785/9450957. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(a a)))) REDUCED to normal form. ------ 101786/9451011. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 101787/9451038. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 101788/9451092. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 101789/9451146. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.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. ------ 101790/9451425. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101791/9451434. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 101792/9451452. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 101793/9451461. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 101794/9451479. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 101795/9451533. ------ 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 a))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 101796/9451614. ------ 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. ------ 101797/9451650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 101798/9451677. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 101799/9451731. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.(x1 x1)))) REDUCED to normal form. ------ 101800/9451767. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 101801/9451794. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 101802/9451821. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 101803/9451848. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 101804/9451875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.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. ------ 101805/9451902. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 101806/9451929. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 101807/9451956. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^b.(^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. ------ 101808/9452028. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101809/9452073. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 101810/9452100. ------ 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 (a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z1.z1) 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. ------ 101811/9452352. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.a))) REDUCED to normal form. ------ 101812/9452379. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a) a)) 3. ==[ beta ]==> ((b a)(((a a) a) a)) REDUCED to normal form. ------ 101813/9452406. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^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. ------ 101814/9452541. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 101815/9452559. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101816/9452568. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 101817/9452595. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z)) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(c c)) REDUCED to normal form. ------ 101818/9452667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 101819/9452703. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (^x.x))(^z.z)) 8. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 101820/9452739. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a) b)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 101821/9452766. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 101822/9452793. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 101823/9452820. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 101824/9452847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 101825/9452874. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 101826/9452901. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 101827/9452928. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 101828/9452955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 101829/9453036. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.a))) 3. ==[ beta ]==> ((b (a a))(c (^y.a))) 4. ==[ alpha ]==> ((b (a a))(c (^x.a))) REDUCED to normal form. ------ 101830/9453063. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 101831/9453342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101832/9453378. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 101833/9453450. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c b)) 3. ==[ beta ]==> ((^y.y)(c b)) 4. ==[ alpha ]==> ((^x.x)(c b)) 5. ==[ beta ]==> (c b) REDUCED to normal form. ------ 101834/9453459. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101835/9453486. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 101836/9453567. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 101837/9453585. ------ 1. ==[ start ]==> (((^a.b)(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(a ((^y.y) a))) 3. ==[ beta ]==> (b (a ((^y.y) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 101838/9453594. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 101839/9453648. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 101840/9453693. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101841/9453702. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101842/9453729. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 101843/9453756. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a) b)) REDUCED to normal form. ------ 101844/9453792. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.x))) REDUCED to normal form. ------ 101845/9453819. ------ 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 (^x.x)) b)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 101846/9453846. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 101847/9453873. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 101848/9453900. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 101849/9454416. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 101850/9461778. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.b))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 101851/9461949. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 101852/9461952. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 101853/9462273. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101854/9462831. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(^y.b))) 3. ==[ beta ]==> (((((a a) a)(^y.b))(((a a) a)(^y.b)))(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((((a a) a)(^x.b))(((a a) a)(^y.b)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 101855/9463164. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 101856/9463344. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) b) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101857/9463608. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 101858/9463626. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 101859/9463731. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.(a a))(a (a a)))((^z.(a a))(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(a (a a)))((^z.(a a))(a (a a))))) 5. ==[ beta ]==> (^x.((a a)((^z.(a a))(a (a a))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(a (a a))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 101860/9463914. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 101861/9463938. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1))) a)((a (^z.(^x1.x1))) a))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z))) a)((a (^x1.(^y1.y1))) a))) 5. ==[ beta ]==> (((a (^y.(^z.z))) a)((a (^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 101862/9464613. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((((a b)(^z.(z z)))((a b)(^z.(z z))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(^x.(x x)))((a b)(^y.(y y))))(^z.z)) REDUCED to normal form. ------ 101863/9464787. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 101864/9465066. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(^z.z))) b) 4. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 5. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 101865/9465369. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 101866/9465813. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(^c.(^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. ------ 101867/9465822. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 101868/9466488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101869/9466497. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 101870/9466686. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 101871/9466809. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101872/9467091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101873/9467124. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.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. ------ 101874/9467604. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 101875/9468162. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 101876/9468486. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 101877/9468567. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a))(^x.a)) REDUCED to normal form. ------ 101878/9468648. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 101879/9468657. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 101880/9468711. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 101881/9468792. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.c)) REDUCED to normal form. ------ 101882/9468882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.z)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 101883/9468936. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.a)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 101884/9468963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.a)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 101885/9469011. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 101886/9469038. ------ 1. ==[ start ]==> (((a a) a)((a (a a))(b a))) REDUCED to normal form. ------ 101887/9469065. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 101888/9469092. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 101889/9469119. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 101890/9469191. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 101891/9469218. ------ 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.z1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101892/9469263. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 101893/9469317. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.b))) 3. ==[ beta ]==> ((a a)((a b)(^y.b))) 4. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 101894/9469326. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.a)((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 101895/9469407. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(b a))) 5. ==[ beta ]==> (a ((^y.(y y))(b a))) 6. ==[ alpha ]==> (a ((^x.(x x))(b a))) 7. ==[ beta ]==> (a ((b a)(b a))) REDUCED to normal form. ------ 101896/9469434. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101897/9469488. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 101898/9469506. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a a) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 101899/9469533. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 101900/9469623. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101901/9469677. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 7. ==[ beta ]==> ((^y.b)(^z.b)) 8. ==[ alpha ]==> ((^x.b)(^y.b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 101902/9469731. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101903/9469785. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 101904/9469812. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 101905/9469884. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 101906/9469902. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 101907/9470037. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a) a)(a b))) REDUCED to normal form. ------ 101908/9470064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a ((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> (a ((^y.y)(a a))) 10. ==[ alpha ]==> (a ((^x.x)(a a))) 11. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 101909/9470091. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 101910/9470118. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (b a))) REDUCED to normal form. ------ 101911/9470145. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 101912/9470163. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 101913/9470172. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 101914/9470235. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 101915/9470262. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(^y.a))) REDUCED to normal form. ------ 101916/9470289. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 101917/9470316. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 101918/9470343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.a))) 5. ==[ beta ]==> ((a a)((a b)(^y.a))) 6. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 101919/9470370. ------ 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. ------ 101920/9470406. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101921/9470460. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(b a))) 5. ==[ beta ]==> (a ((^z.a)(b a))) 6. ==[ alpha ]==> (a ((^x.a)(b a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101922/9470541. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 101923/9470568. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 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. ------ 101924/9470703. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 101925/9470856. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 101926/9470874. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 101927/9470883. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 101928/9471036. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(a b))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a b))) 5. ==[ beta ]==> ((((a a) a) b)(a b)) REDUCED to normal form. ------ 101929/9471063. ------ 1. ==[ start ]==> (((a b) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) a)((a (a a))(a a))) REDUCED to normal form. ------ 101930/9471090. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 101931/9471144. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(a (^x1.(^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. ------ 101932/9471162. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 101933/9471243. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101934/9471270. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 101935/9471288. ------ 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. ------ 101936/9471342. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.b))) 9. ==[ beta ]==> ((a (^x.x))(^z.b)) 10. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 101937/9471369. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 101938/9471450. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 101939/9471477. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 101940/9471486. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101941/9471567. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 101942/9471648. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101943/9471702. ------ 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. ------ 101944/9471711. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 101945/9471738. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (b a))) REDUCED to normal form. ------ 101946/9471792. ------ 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. ------ 101947/9471819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> ((((a a)(^y.y))(a (^z.z)))(((a a)(^y.y))(a (^z.z)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 101948/9471846. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((a a) a)) REDUCED to normal form. ------ 101949/9471873. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 101950/9471900. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 101951/9472071. ------ 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. ------ 101952/9472098. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 101953/9472125. ------ 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. ------ 101954/9472152. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 101955/9472188. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 101956/9472323. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 101957/9472404. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 101958/9472431. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101959/9472485. ------ 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. ------ 101960/9472566. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101961/9472575. ------ 1. ==[ start ]==> (((a b)(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 101962/9472602. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 101963/9472629. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 101964/9472665. ------ 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. ------ 101965/9472881. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 101966/9472908. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 101967/9472998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101968/9473079. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101969/9473187. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 101970/9473268. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a b)(a b))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 101971/9473331. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 101972/9473349. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 101973/9473358. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 101974/9473385. ------ 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. ------ 101975/9473412. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 101976/9473610. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 101977/9473637. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 101978/9473664. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 101979/9473691. ------ 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.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(z z))) REDUCED to normal form. ------ 101980/9473754. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 101981/9473835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 101982/9473916. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 101983/9474024. ------ 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))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101984/9474033. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 101985/9474060. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(a a))) REDUCED to normal form. ------ 101986/9474141. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 101987/9474168. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 101988/9474213. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (b (b (^x1.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 101989/9474222. ------ 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. ------ 101990/9474321. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101991/9474348. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 101992/9474366. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)(^x1.(^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. ------ 101993/9474393. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 101994/9474420. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 101995/9474447. ------ 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. ------ 101996/9474474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a) b)) 5. ==[ beta ]==> ((a b)(((a a) a) b)) REDUCED to normal form. ------ 101997/9474627. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 101998/9474636. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 101999/9474663. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.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. ------ 102000/9474834. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a a))) 3. ==[ beta ]==> (b ((^z.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102001/9474942. ------ 1. ==[ start ]==> (((^a.(^a.(^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)(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102002/9474996. ------ 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))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102003/9475023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102004/9475077. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 102005/9475113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102006/9475140. ------ 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. ------ 102007/9475167. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 102008/9475194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 102009/9475221. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 102010/9475266. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 102011/9475275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.y1))) REDUCED to normal form. ------ 102012/9475338. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(^y.(^z.z)))) 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. ------ 102013/9475365. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 102014/9475392. ------ 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 z)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 102015/9475419. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 102016/9475446. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1)) 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)((^y.y) a)) 10. ==[ alpha ]==> ((a a)((^x.x) a)) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 102017/9475473. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a)) b)) REDUCED to normal form. ------ 102018/9475500. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a) c)) 3. ==[ beta ]==> (((a b)((a a) a))(a c)) REDUCED to normal form. ------ 102019/9475608. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(b b)) REDUCED to normal form. ------ 102020/9475635. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) c)) 3. ==[ beta ]==> ((b (a a))((^y.a) c)) 4. ==[ alpha ]==> ((b (a a))((^x.a) c)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 102021/9475698. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 102022/9475833. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102023/9475977. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 102024/9476004. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a a) a)) REDUCED to normal form. ------ 102025/9476022. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 102026/9476049. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102027/9476058. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c b)) REDUCED to normal form. ------ 102028/9476085. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b c)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b c)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b c)) REDUCED to normal form. ------ 102029/9476103. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a))((^y.y) a)) 6. ==[ alpha ]==> (((b a)(b a))((^x.x) a)) 7. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 102030/9476166. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (a (^y.y)))) REDUCED to normal form. ------ 102031/9476184. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 102032/9476193. ------ 1. ==[ start ]==> (((a b)(^a.b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 102033/9476247. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 102034/9476292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^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. ------ 102035/9476301. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b b)) REDUCED to normal form. ------ 102036/9476328. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 102037/9476355. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (a a))) REDUCED to normal form. ------ 102038/9476391. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 102039/9476418. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 102040/9476445. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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. ------ 102041/9476472. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a) a)) REDUCED to normal form. ------ 102042/9476499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 102043/9476525. ------ 1. ==[ start ]==> (^a.(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.(((x x) x)((^y.y)(x x)))) 3. ==[ beta ]==> (^x.(((x x) x)(x x))) REDUCED to normal form. ------ 102044/9476526. ------ 1. ==[ start ]==> (a (((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 102045/9484065. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a))) a) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a))) a) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 102046/9484071. ------ 1. ==[ start ]==> ((^a.a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 102047/9484098. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((a a)(^x1.x1)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))((^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. ------ 102048/9484125. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 102049/9484206. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 102050/9484323. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(^z.(z z)))) 3. ==[ beta ]==> (^y.((b a)(^z.(z z)))) 4. ==[ alpha ]==> (^x.((b a)(^y.(y y)))) REDUCED to normal form. ------ 102051/9484938. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((y y)(y y)))) REDUCED to normal form. ------ 102052/9485016. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102053/9485604. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 102054/9485937. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a a))(^x.b)) REDUCED to normal form. ------ 102055/9485961. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a a)) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 102056/9486252. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 102057/9486348. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(^x1.(x1 x1)))(((^z.z)(a a))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1))))) 5. ==[ beta ]==> (^x.(((a a)(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1))))) 6. ==[ alpha ]==> (^x.(((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))) 7. ==[ beta ]==> (^x.(((a a)(^y.(y y)))((a a)(^x1.(x1 x1))))) 8. ==[ alpha ]==> (^x.(((a a)(^y.(y y)))((a a)(^z.(z z))))) REDUCED to normal form. ------ 102058/9487404. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^d.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. ------ 102059/9487413. ------ 1. ==[ start ]==> (((a b) c)(^b.(b a))) 2. ==[ alpha ]==> (((a b) c)(^x.(x a))) REDUCED to normal form. ------ 102060/9488439. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 102061/9489114. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(a a)))) REDUCED to normal form. ------ 102062/9489330. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 102063/9489426. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102064/9489708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102065/9489717. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z b))) REDUCED to normal form. ------ 102066/9489741. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102067/9490059. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((a a) a))) 3. ==[ beta ]==> ((b a)(^y.((a a) a))) 4. ==[ alpha ]==> ((b a)(^x.((a a) a))) REDUCED to normal form. ------ 102068/9490221. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 102069/9490383. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 102070/9490740. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a (^y.y))((^z.z) a))((a (^y.y))((^z.z) a)))(((a (^y.y))((^z.z) a))((a (^y.y))((^z.z) a)))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) a)))(((a (^y1.y1))((^z1.z1) a))((a (^x2.x2))((^y2.y2) a)))) 5. ==[ beta ]==> ((((a (^x.x)) a)((a (^z.z))((^x1.x1) a)))(((a (^y1.y1))((^z1.z1) a))((a (^x2.x2))((^y2.y2) a)))) 6. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y))((^z.z) a)))(((a (^x1.x1))((^y1.y1) a))((a (^z1.z1))((^x2.x2) a)))) 7. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^x1.x1))((^y1.y1) a))((a (^z1.z1))((^x2.x2) a)))) 8. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^z.z))((^x1.x1) a))((a (^y1.y1))((^z1.z1) a)))) 9. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^z.z)) a)((a (^y1.y1))((^z1.z1) a)))) 10. ==[ alpha ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^z.z)) a)((a (^x1.x1))((^y1.y1) a)))) 11. ==[ beta ]==> ((((a (^x.x)) a)((a (^y.y)) a))(((a (^z.z)) a)((a (^x1.x1)) a))) REDUCED to normal form. ------ 102071/9491184. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.a))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.a))) REDUCED to normal form. ------ 102072/9491265. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.y)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102073/9491274. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 102074/9491409. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 102075/9491472. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(x (^y.y)))) REDUCED to normal form. ------ 102076/9491499. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a a))) REDUCED to normal form. ------ 102077/9491553. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.b)) REDUCED to normal form. ------ 102078/9491580. ------ 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. ------ 102079/9491607. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 102080/9491619. ------ 1. ==[ start ]==> ((a a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 102081/9491646. ------ 1. ==[ start ]==> ((a (a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 102082/9491673. ------ 1. ==[ start ]==> ((a b)((a (a a))(b a))) REDUCED to normal form. ------ 102083/9491718. ------ 1. ==[ start ]==> (((^a.a) b)(c (^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(c (^y.y))) 3. ==[ beta ]==> (b (c (^y.y))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 102084/9491727. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 102085/9491745. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 102086/9491754. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 102087/9491790. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 102088/9491817. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 102089/9491826. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 102090/9491844. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 102091/9491853. ------ 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.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 102092/9491871. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 102093/9491907. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) 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. ------ 102094/9491952. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 102095/9491979. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 102096/9491988. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 102097/9492015. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 102098/9492042. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(^x.a))((b a)(b a))) REDUCED to normal form. ------ 102099/9492060. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 102100/9492069. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 102101/9492096. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 102102/9492204. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 102103/9492285. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^c.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. ------ 102104/9492312. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.b))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 102105/9492366. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 102106/9492420. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 102107/9492456. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b ((^x.x) b))) 3. ==[ beta ]==> (((a a)(a (a a)))(b b)) REDUCED to normal form. ------ 102108/9492483. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 102109/9492510. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (a a))) REDUCED to normal form. ------ 102110/9492537. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 102111/9492564. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 102112/9492771. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102113/9492798. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 102114/9493032. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(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. ------ 102115/9493122. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102116/9493149. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 102117/9493167. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) a)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) a)) 5. ==[ beta ]==> (((a a) a)(b a)) REDUCED to normal form. ------ 102118/9493194. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) 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. ------ 102119/9493203. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 102120/9493257. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 102121/9493284. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102122/9493311. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 102123/9493455. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))(b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 102124/9493482. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x) b))) 3. ==[ beta ]==> ((((a a) a)(a a))(a b)) REDUCED to normal form. ------ 102125/9493509. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 102126/9493518. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102127/9493770. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 102128/9493797. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 102129/9493824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102130/9493869. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 102131/9493878. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 102132/9493896. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 102133/9494067. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102134/9494112. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102135/9494139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 102136/9494283. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 102137/9494310. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 102138/9494337. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 102139/9494409. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 12. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102140/9494562. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 102141/9494589. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(a b))) REDUCED to normal form. ------ 102142/9494616. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a ((a a) a))(a (a a))) REDUCED to normal form. ------ 102143/9494643. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 102144/9494670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(b a))) 5. ==[ beta ]==> ((a (a a))((a a)(b a))) REDUCED to normal form. ------ 102145/9494715. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102146/9494814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 102147/9494958. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(b a))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(b a))) 3. ==[ beta ]==> (((a b) c)(b a)) REDUCED to normal form. ------ 102148/9495066. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 102149/9495093. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 102150/9495147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102151/9495174. ------ 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. ------ 102152/9495201. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 102153/9495291. ------ 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. ------ 102154/9495318. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 102155/9495345. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 102156/9495372. ------ 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. ------ 102157/9495399. ------ 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. ------ 102158/9495426. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (a b))) REDUCED to normal form. ------ 102159/9495453. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 102160/9495480. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 102161/9495624. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 102162/9495705. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 102163/9495768. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 102164/9495813. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((a b) c)) 3. ==[ beta ]==> ((b a)((a b) c)) REDUCED to normal form. ------ 102165/9495876. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 102166/9495903. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 102167/9495957. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 102168/9495984. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 102169/9496101. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(b a))(a (a a))) REDUCED to normal form. ------ 102170/9496128. ------ 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 (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 102171/9496155. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(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. ------ 102172/9496182. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(a b))) REDUCED to normal form. ------ 102173/9496209. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 102174/9496362. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102175/9496461. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a a)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 102176/9496659. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a a))) REDUCED to normal form. ------ 102177/9496677. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 102178/9496704. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102179/9496848. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 102180/9496875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 102181/9496902. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 102182/9496947. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102183/9496956. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 102184/9496974. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 102185/9497253. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102186/9497262. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (a b))) REDUCED to normal form. ------ 102187/9497289. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)(a a))) 3. ==[ beta ]==> ((a b)(((a a) a)(a a))) REDUCED to normal form. ------ 102188/9497298. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.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. ------ 102189/9497325. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2)) c)) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2)) 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. ------ 102190/9497460. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.z))) 3. ==[ beta ]==> (b (((a a) a)(^z.z))) 4. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 102191/9497568. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102192/9497577. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 102193/9497604. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)((a a) a))) 3. ==[ beta ]==> ((b a)((^y.y)((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.x)((a a) a))) 5. ==[ beta ]==> ((b a)((a a) a)) REDUCED to normal form. ------ 102194/9497622. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y) b)(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a) a)) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 102195/9497631. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 102196/9497649. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1)) 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. ------ 102197/9497658. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 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. ------ 102198/9497739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102199/9497766. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.a)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 102200/9497784. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) a)) 3. ==[ beta ]==> (b ((^y.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102201/9497901. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 102202/9497928. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.a))) REDUCED to normal form. ------ 102203/9498018. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c d)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c d)) 3. ==[ beta ]==> ((a (b a))(c d)) REDUCED to normal form. ------ 102204/9498180. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (a (a a)))) REDUCED to normal form. ------ 102205/9498234. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(a a))) REDUCED to normal form. ------ 102206/9498261. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((b (a a))(a (a (^y.y)))) 6. ==[ alpha ]==> ((b (a a))(a (a (^x.x)))) REDUCED to normal form. ------ 102207/9498288. ------ 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. ------ 102208/9498459. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 102209/9498567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102210/9498603. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 102211/9498630. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.a))) REDUCED to normal form. ------ 102212/9498675. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 102213/9498684. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 102214/9498711. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 102215/9498729. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.a))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.a))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.a))) REDUCED to normal form. ------ 102216/9498792. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 102217/9498810. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 102218/9498819. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 102219/9498873. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 102220/9498918. ------ 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 (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102221/9498927. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 102222/9498954. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 102223/9498981. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 102224/9499017. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 102225/9499044. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 102226/9499071. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 102227/9499098. ------ 1. ==[ start ]==> (((a (a a))(b a))(a b)) REDUCED to normal form. ------ 102228/9499125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 102229/9499152. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a a)) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 102230/9501648. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(a (^x1.(^y1.y1))))(^z.(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)((^y.(a (^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> ((^y.(a (^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 102231/9506700. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a))) b) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a))) b) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 102232/9506724. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102233/9506805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102234/9506850. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((b (^z.(a a)))(^y.y)) 4. ==[ alpha ]==> ((b (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 102235/9507039. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))((a a) a))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102236/9507231. ------ 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) a)(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 102237/9507309. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a))(((^y.(^z.(^x1.x1)))(^y1.a))((^y.(^z.(^x1.x1)))(^y1.a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.(^z1.(^x2.x2)))(^y2.a))((^z2.(^x3.(^y3.y3)))(^z3.a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^y1.(^z1.(^x2.x2)))(^y2.a))((^z2.(^x3.(^y3.y3)))(^z3.a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(^z1.a))((^x2.(^y2.(^z2.z2)))(^x3.a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102238/9507534. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102239/9507582. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 102240/9508092. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)((a a) a))) 3. ==[ beta ]==> ((((^y.b)((a a) a))((^y.b)((a a) a)))((^y.b)((a a) a))) 4. ==[ alpha ]==> ((((^x.b)((a a) a))((^y.b)((a a) a)))((^z.b)((a a) a))) 5. ==[ beta ]==> ((b ((^y.b)((a a) a)))((^z.b)((a a) a))) 6. ==[ alpha ]==> ((b ((^x.b)((a a) a)))((^y.b)((a a) a))) 7. ==[ beta ]==> ((b b)((^y.b)((a a) a))) 8. ==[ alpha ]==> ((b b)((^x.b)((a a) a))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 102241/9508581. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 102242/9509199. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a (^x1.(^y1.y1))))((^z.z)(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 102243/9509202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 102244/9509508. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 11. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 102245/9509796. ------ 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. ------ 102246/9509874. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((^z.(a a))((^x1.x1) a))((^z.(a a))((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))((^y.y) a))((^z.(a a))((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> (((a a)((^z.(a a))((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> (((a a)((^x.(a a))((^y.y) a)))(^z.z)) 7. ==[ beta ]==> (((a a)(a a))(^z.z)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 102247/9510057. ------ 1. ==[ start ]==> (((a b) c)(^c.(^d.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 102248/9510630. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102249/9511179. ------ 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. ------ 102250/9511467. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^x1.(x1 x1))((^y1.y1)(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 7. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102251/9511776. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 102252/9512172. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))((^x.x)(a a))) a) 4. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 102253/9512361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.z))) REDUCED to normal form. ------ 102254/9512703. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.a))) 3. ==[ beta ]==> ((b a)(^y.(^z.a))) 4. ==[ alpha ]==> ((b a)(^x.(^y.a))) REDUCED to normal form. ------ 102255/9512883. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 102256/9513171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(^x.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 102257/9513423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (a a)))) 5. ==[ beta ]==> (^y.(a (a a))) 6. ==[ alpha ]==> (^x.(a (a a))) REDUCED to normal form. ------ 102258/9513666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102259/9513918. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 102260/9514053. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102261/9514116. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 102262/9514170. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102263/9514197. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a a))) REDUCED to normal form. ------ 102264/9514224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 102265/9514251. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 102266/9514281. ------ 1. ==[ start ]==> ((a (^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 102267/9514308. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 102268/9514335. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(b a))) 3. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 102269/9514362. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 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. ------ 102270/9514407. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 102271/9514416. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102272/9514452. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 102273/9514479. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 102274/9514506. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 102275/9514560. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 102276/9514596. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 102277/9514641. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 102278/9514722. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 102279/9514749. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 102280/9514785. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 102281/9514839. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 102282/9514866. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 102283/9515091. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 102284/9515109. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 102285/9515181. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y) b)) 3. ==[ beta ]==> ((b b)((^y.y) b)) 4. ==[ alpha ]==> ((b b)((^x.x) b)) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 102286/9515226. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102287/9515253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 102288/9515307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 102289/9515361. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 11. ==[ beta ]==> ((^y.y)(a a)) 12. ==[ alpha ]==> ((^x.x)(a a)) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102290/9515388. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.x))) REDUCED to normal form. ------ 102291/9515442. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 102292/9515514. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 102293/9515541. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 102294/9515622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 102295/9515649. ------ 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. ------ 102296/9515775. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102297/9515802. ------ 1. ==[ start ]==> ((((a a) a) a)((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 102298/9515856. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) REDUCED to normal form. ------ 102299/9515883. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a) c)) 3. ==[ beta ]==> ((a (^y.(y y)))((b a) c)) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a) c)) REDUCED to normal form. ------ 102300/9516027. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 102301/9516108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 102302/9516135. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 102303/9516153. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102304/9516171. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102305/9516252. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(a (a a)))) IRREDUCIBLE: cycle. ------ 102306/9516333. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 102307/9516360. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a a))) REDUCED to normal form. ------ 102308/9516387. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 102309/9516441. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 102310/9516477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102311/9516504. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 102312/9516531. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 102313/9516567. ------ 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. ------ 102314/9516594. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 102315/9516648. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 102316/9516675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> (a ((^y.(y y))((^z.z)(a a)))) 8. ==[ alpha ]==> (a ((^x.(x x))((^y.y)(a a)))) 9. ==[ beta ]==> (a (((^y.y)(a a))((^y.y)(a a)))) 10. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(a a)))) 11. ==[ beta ]==> (a ((a a)((^y.y)(a a)))) 12. ==[ alpha ]==> (a ((a a)((^x.x)(a a)))) 13. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 102317/9516702. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 102318/9516729. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 102319/9516756. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 102320/9517008. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 102321/9517062. ------ 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.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 9. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 10. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 11. ==[ beta ]==> (a (a (^y.(^z.z)))) 12. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 102322/9517071. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 102323/9517125. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 102324/9517143. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 102325/9517350. ------ 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. ------ 102326/9517368. ------ 1. ==[ start ]==> (((^a.b) c)((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((b a)(^y.y))) 3. ==[ beta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 102327/9517431. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 102328/9517611. ------ 1. ==[ start ]==> (((a b) c)((a a)(^d.a))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.a))) REDUCED to normal form. ------ 102329/9517638. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a) a)) 3. ==[ beta ]==> (((a a) b)((b a) a)) REDUCED to normal form. ------ 102330/9517665. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 102331/9517845. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (b (c ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 102332/9518106. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.(a a)))) 3. ==[ beta ]==> (((a b) a)(c (^y.(a a)))) 4. ==[ alpha ]==> (((a b) a)(c (^x.(a a)))) REDUCED to normal form. ------ 102333/9518133. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 102334/9518187. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 102335/9518421. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 102336/9518628. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (b (b ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 102337/9518664. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 102338/9518691. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 102339/9518736. ------ 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. ------ 102340/9518835. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.b))) REDUCED to normal form. ------ 102341/9518862. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 102342/9518916. ------ 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 a)) REDUCED to normal form. ------ 102343/9518943. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 102344/9519015. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102345/9519024. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 10. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 102346/9519303. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102347/9519330. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 102348/9519339. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 102349/9519357. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 102350/9519411. ------ 1. ==[ start ]==> (((^a.(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) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z) a))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z) a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y) a))) 11. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 12. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 13. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 102351/9519492. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 102352/9519555. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(^z.z))) REDUCED to normal form. ------ 102353/9519609. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.a)) REDUCED to normal form. ------ 102354/9519645. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 102355/9519672. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 102356/9519699. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 102357/9519726. ------ 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. ------ 102358/9519753. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.z))) 5. ==[ beta ]==> ((a b)((^y.b)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.y))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 102359/9519807. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^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. ------ 102360/9519834. ------ 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 y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 102361/9519861. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^b.(^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. ------ 102362/9519915. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.b)) REDUCED to normal form. ------ 102363/9519951. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 102364/9519978. ------ 1. ==[ start ]==> (((^a.(^a.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 (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 102365/9520230. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102366/9520257. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(^y.a))) 3. ==[ beta ]==> ((b a)((a a)(^y.a))) 4. ==[ alpha ]==> ((b a)((a a)(^x.a))) REDUCED to normal form. ------ 102367/9520284. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 102368/9520311. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 102369/9520437. ------ 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. ------ 102370/9520446. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 102371/9520473. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 102372/9520545. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102373/9520617. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 102374/9520644. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 102375/9520671. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (b a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 102376/9520698. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 102377/9520725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 102378/9520752. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 102379/9520779. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 102380/9520806. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 102381/9520833. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 102382/9520977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (a a)))) 5. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 102383/9521220. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(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. ------ 102384/9521256. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a) b)) 3. ==[ beta ]==> ((b b)((^y.a) b)) 4. ==[ alpha ]==> ((b b)((^x.a) b)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 102385/9521301. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 102386/9521337. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 102387/9521364. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 102388/9521382. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b c)) 3. ==[ beta ]==> (((b a)(b a))(b c)) REDUCED to normal form. ------ 102389/9521445. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y)) b)) REDUCED to normal form. ------ 102390/9521463. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (a (^y.y)))) 3. ==[ beta ]==> (b (b (a (^y.y)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 102391/9521472. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((a a) c)) REDUCED to normal form. ------ 102392/9521526. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 102393/9521580. ------ 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))) REDUCED to normal form. ------ 102394/9521607. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 102395/9521634. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 102396/9521670. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 102397/9521697. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.y))) REDUCED to normal form. ------ 102398/9521724. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 102399/9521751. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a a))) 3. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 102400/9521778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 102401/9521805. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 102402/9529542. ------ 1. ==[ start ]==> (((a a) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 102403/9529638. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 102404/9529881. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 102405/9530205. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102406/9530763. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.a))) 3. ==[ beta ]==> ((((a b)(^y.a))((a b)(^y.a)))((a b)(^y.a))) 4. ==[ alpha ]==> ((((a b)(^x.a))((a b)(^y.a)))((a b)(^z.a))) REDUCED to normal form. ------ 102407/9530937. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x)((a a) a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.y)) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 102408/9531096. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 102409/9531270. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 102410/9531276. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.y) a)) 3. ==[ beta ]==> (((^y.y) a) b) 4. ==[ alpha ]==> (((^x.x) a) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 102411/9531663. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1) a))((^z.(^x1.x1))((^y1.y1) a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1) a))((^y1.(^z1.z1))((^x2.x2) a)))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2) a)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1) a)))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102412/9531870. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.(^x1.(^y1.y1))))((a a)(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.(^x2.x2)))))) 5. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 102413/9531882. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102414/9532179. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 102415/9532188. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 102416/9532545. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((((^z.z)(a a))(^x1.a))(((^z.z)(a a))(^x1.a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.a))(((^z.z)(a a))(^x1.a)))(^y1.y1)) 5. ==[ beta ]==> ((((a a)(^y.a))(((^z.z)(a a))(^x1.a)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.a))(((^y.y)(a a))(^z.a)))(^x1.x1)) 7. ==[ beta ]==> ((((a a)(^x.a))((a a)(^z.a)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.a))((a a)(^y.a)))(^z.z)) REDUCED to normal form. ------ 102417/9533025. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(b z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 102418/9533301. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))(^z.z))) 3. ==[ eta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 102419/9533781. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 102420/9534138. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 102421/9534231. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 102422/9534447. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 102423/9534456. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 102424/9534741. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102425/9535056. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102426/9535230. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 102427/9535392. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a) a))) 5. ==[ beta ]==> (b (^y.((a a) a))) 6. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 102428/9535554. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 102429/9535563. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((y y) y))) REDUCED to normal form. ------ 102430/9535698. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 102431/9536055. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a) c)) 3. ==[ beta ]==> ((((^y.a) c)((^y.a) c))(((^y.a) c)((^y.a) c))) 4. ==[ alpha ]==> ((((^x.a) c)((^y.a) c))(((^z.a) c)((^x1.a) c))) 5. ==[ beta ]==> ((a ((^y.a) c))(((^z.a) c)((^x1.a) c))) 6. ==[ alpha ]==> ((a ((^x.a) c))(((^y.a) c)((^z.a) c))) 7. ==[ beta ]==> ((a a)(((^y.a) c)((^z.a) c))) 8. ==[ alpha ]==> ((a a)(((^x.a) c)((^y.a) c))) 9. ==[ beta ]==> ((a a)(a ((^y.a) c))) 10. ==[ alpha ]==> ((a a)(a ((^x.a) c))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 102432/9536229. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 102433/9536337. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102434/9536445. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 102435/9536688. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102436/9536841. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.b)) 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. ------ 102437/9536868. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 102438/9536922. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.a)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 102439/9536970. ------ 1. ==[ start ]==> (((^a.a) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (a (((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 102440/9536997. ------ 1. ==[ start ]==> (((a a) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 102441/9537024. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 102442/9537051. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 102443/9537078. ------ 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)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 102444/9537096. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102445/9537105. ------ 1. ==[ start ]==> (((a a) b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 102446/9537177. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 102447/9537204. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 102448/9537222. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 102449/9537249. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 102450/9537285. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 102451/9537312. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 5. ==[ beta ]==> ((^y.b)(a b)) 6. ==[ alpha ]==> ((^x.b)(a b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102452/9537366. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 102453/9537393. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 5. ==[ beta ]==> ((^y.(y y))(b a)) 6. ==[ alpha ]==> ((^x.(x x))(b a)) 7. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 102454/9537447. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 102455/9537492. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 102456/9537519. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b) b)) 3. ==[ beta ]==> ((a (a a))(((^y.y) b) b)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b) b)) 5. ==[ beta ]==> ((a (a a))(b b)) REDUCED to normal form. ------ 102457/9537555. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.a))((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.(^x2.x2)))(^y2.a))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102458/9537636. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102459/9537663. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 102460/9537771. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 102461/9537861. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b)(a a))) 3. ==[ beta ]==> ((b b)(((^y.y) b)(a a))) 4. ==[ alpha ]==> ((b b)(((^x.x) b)(a a))) 5. ==[ beta ]==> ((b b)(b (a a))) REDUCED to normal form. ------ 102462/9537870. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x) b)) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 102463/9537996. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)((a a) a))) REDUCED to normal form. ------ 102464/9538023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)(a b))) 5. ==[ beta ]==> (a (((a a) a)(a b))) REDUCED to normal form. ------ 102465/9538050. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 102466/9538077. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 102467/9538104. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.a))(a (b a))) REDUCED to normal form. ------ 102468/9538131. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 102469/9538158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((a a)((^z.z) b))) 6. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 7. ==[ beta ]==> ((a a)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 102470/9538194. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 102471/9538221. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102472/9538248. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.a))) 5. ==[ beta ]==> ((a a)((b a)(^y.a))) 6. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 102473/9538275. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 102474/9538302. ------ 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)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 102475/9538329. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 102476/9538365. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102477/9538419. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a ((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 102478/9538500. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a a) a)((^y.y) b)) 6. ==[ alpha ]==> (((a a) a)((^x.x) b)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 102479/9538527. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102480/9538662. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 102481/9538833. ------ 1. ==[ start ]==> (((^a.b) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(a ((^y.y) b))) 3. ==[ beta ]==> (b (a ((^y.y) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 102482/9538842. ------ 1. ==[ start ]==> ((a (a b))((^b.b) a)) 2. ==[ alpha ]==> ((a (a b))((^x.x) a)) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 102483/9538995. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 102484/9539022. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a b) a)((^y.y)(a b))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(a b))) 5. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 102485/9539049. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 102486/9539103. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^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. ------ 102487/9539121. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 102488/9539130. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 102489/9539229. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 102490/9539247. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 102491/9539274. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 102492/9539328. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.b)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 102493/9539355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(a a)))) 7. ==[ beta ]==> (a ((a (a a))(^y.(a a)))) 8. ==[ alpha ]==> (a ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 102494/9539436. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(^y.(^z.(^x1.x1))))) 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. ------ 102495/9539445. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102496/9539472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102497/9539526. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102498/9539607. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102499/9539661. ------ 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. ------ 102500/9539688. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102501/9539697. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 102502/9539742. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 11. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 13. ==[ beta ]==> (^y.(^z.(^x1.x1))) 14. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 102503/9539751. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 102504/9539778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a a))) 5. ==[ beta ]==> ((^y.(y y))((b a)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((b a)(a a))) 7. ==[ beta ]==> (((b a)(a a))((b a)(a a))) REDUCED to normal form. ------ 102505/9539805. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 102506/9539832. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 102507/9539859. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 102508/9540057. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 102509/9540084. ------ 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. ------ 102510/9540111. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 102511/9540147. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102512/9540282. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^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. ------ 102513/9540390. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102514/9540525. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102515/9540534. ------ 1. ==[ start ]==> (((a b)(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(c (a a))) REDUCED to normal form. ------ 102516/9540561. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 102517/9540588. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (b a))) REDUCED to normal form. ------ 102518/9540651. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a)) c)) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 102519/9540867. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 102520/9540957. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (a a)))) 5. ==[ beta ]==> (b ((^z.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102521/9541038. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102522/9541146. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 102523/9541173. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 102524/9541227. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 102525/9541290. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 102526/9541308. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102527/9541317. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 102528/9541344. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 102529/9541371. ------ 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. ------ 102530/9541434. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a) d)) 2. ==[ alpha ]==> (((a a)(b a))((^x.a) d)) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 102531/9541596. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 102532/9541623. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 102533/9541650. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 102534/9541704. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 102535/9541713. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102536/9541794. ------ 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. ------ 102537/9541875. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102538/9541983. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102539/9541992. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (a b))) REDUCED to normal form. ------ 102540/9542010. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 102541/9542019. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 102542/9542100. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z) a)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y) a)) 7. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 102543/9542127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.b)((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102544/9542172. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 102545/9542181. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 102546/9542208. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(a b))) REDUCED to normal form. ------ 102547/9542307. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 102548/9542325. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 102549/9542352. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^b.(^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. ------ 102550/9542406. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.b))) REDUCED to normal form. ------ 102551/9542433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b) a)) 3. ==[ beta ]==> (((^y.y)(a b))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((a b) a)) 5. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 102552/9542460. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 102553/9542487. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z) c)) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y) c)) 7. ==[ beta ]==> (((a b)(^x.x)) c) REDUCED to normal form. ------ 102554/9542586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102555/9542622. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b) a)) 3. ==[ beta ]==> ((a b)((^y.b) a)) 4. ==[ alpha ]==> ((a b)((^x.b) a)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 102556/9542793. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 102557/9542901. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.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. ------ 102558/9542955. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 102559/9543036. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 102560/9543072. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(c (a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(c (a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102561/9543099. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 102562/9543117. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (b ((^y.y)(^z.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 102563/9543126. ------ 1. ==[ start ]==> (((a b)(^c.a))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(a ((a a) a))) REDUCED to normal form. ------ 102564/9543153. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 102565/9543180. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 102566/9543234. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(a (a a)))) REDUCED to normal form. ------ 102567/9543261. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((b (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 102568/9543297. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) b)(^y.y)) 8. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 102569/9543324. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102570/9543351. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a (b a))(a (^y.a))) 6. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 102571/9543378. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 102572/9543405. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 102573/9543432. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 102574/9543459. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a)) b)) REDUCED to normal form. ------ 102575/9543567. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 102576/9543594. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y)) b)) 3. ==[ beta ]==> ((b (a a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((b (a a))((^x.(x x)) b)) 5. ==[ beta ]==> ((b (a a))(b b)) REDUCED to normal form. ------ 102577/9543621. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a) c)) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 102578/9543657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 102579/9543792. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 102580/9543900. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102581/9543936. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((b b)(a (a a))) REDUCED to normal form. ------ 102582/9543963. ------ 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. ------ 102583/9543981. ------ 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. ------ 102584/9544008. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(y y)))) 5. ==[ beta ]==> (a (^y.(y y))) 6. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 102585/9544062. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 102586/9544125. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (a a))) REDUCED to normal form. ------ 102587/9544143. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102588/9544152. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (a (^y.y)))) REDUCED to normal form. ------ 102589/9544206. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 102590/9544251. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102591/9544260. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c a)) REDUCED to normal form. ------ 102592/9544287. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 102593/9544350. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a) b)) REDUCED to normal form. ------ 102594/9544377. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 102595/9544404. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 102596/9544431. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.x))) REDUCED to normal form. ------ 102597/9544458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 102598/9544485. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 102599/9544511. ------ 1. ==[ start ]==> (^a.((a b)(a b))) 2. ==[ alpha ]==> (^x.((x b)(x b))) REDUCED to normal form. ------ 102600/9544512. ------ 1. ==[ start ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 102601/9546405. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((^y.((^z.z) b)) b) 4. ==[ alpha ]==> ((^x.((^y.y) b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102602/9550185. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(z b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102603/9552078. ------ 1. ==[ start ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 102604/9552084. ------ 1. ==[ start ]==> ((^a.a)((a b)(a b))) 2. ==[ alpha ]==> ((^x.x)((a b)(a b))) 3. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 102605/9552111. ------ 1. ==[ start ]==> ((^a.(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((^y.y)(a a)))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 102606/9552138. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 102607/9552219. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^z.z))((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.z)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 102608/9552336. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 102609/9552579. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 102610/9552978. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 102611/9553029. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102612/9553968. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 102613/9553974. ------ 1. ==[ start ]==> ((^a.(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(a ((^y.y) b))) 3. ==[ beta ]==> ((a ((^y.y) b)) b) 4. ==[ alpha ]==> ((a ((^x.x) b)) b) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 102614/9553977. ------ 1. ==[ start ]==> ((a (a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 102615/9554292. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 102616/9554361. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(^x1.a))(((a a)(^z.z))(^x1.a)))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a)))) REDUCED to normal form. ------ 102617/9554580. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102618/9554886. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 102619/9555183. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102620/9555453. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(y a))) 3. ==[ beta ]==> (((a a) b)(^y.(y a))) 4. ==[ alpha ]==> (((a a) b)(^x.(x a))) REDUCED to normal form. ------ 102621/9556236. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 102622/9556479. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 102623/9556548. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 102624/9556929. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 102625/9557154. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 102626/9557370. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 102627/9557439. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102628/9557754. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102629/9557757. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y b))) 3. ==[ beta ]==> ((a b)(^y.(y b))) 4. ==[ alpha ]==> ((a b)(^x.(x b))) REDUCED to normal form. ------ 102630/9558090. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.a))) 5. ==[ beta ]==> (b (^y.(^z.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 102631/9558099. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 102632/9558261. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 102633/9558702. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 102634/9558753. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z))))((((^y.y) a)(a (^z.z)))(((^y.y) a)(a (^z.z))))) 4. ==[ alpha ]==> (((((^x.x) a)(a (^y.y)))(((^z.z) a)(a (^x1.x1))))((((^y1.y1) a)(a (^z1.z1)))(((^x2.x2) a)(a (^y2.y2))))) 5. ==[ beta ]==> (((a (a (^y.y)))(((^z.z) a)(a (^x1.x1))))((((^y1.y1) a)(a (^z1.z1)))(((^x2.x2) a)(a (^y2.y2))))) 6. ==[ alpha ]==> (((a (a (^x.x)))(((^y.y) a)(a (^z.z))))((((^x1.x1) a)(a (^y1.y1)))(((^z1.z1) a)(a (^x2.x2))))) 7. ==[ beta ]==> (((a (a (^x.x)))(a (a (^z.z))))((((^x1.x1) a)(a (^y1.y1)))(((^z1.z1) a)(a (^x2.x2))))) 8. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))((((^z.z) a)(a (^x1.x1)))(((^y1.y1) a)(a (^z1.z1))))) 9. ==[ beta ]==> (((a (a (^x.x)))(a (a (^y.y))))((a (a (^x1.x1)))(((^y1.y1) a)(a (^z1.z1))))) 10. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))((a (a (^z.z)))(((^x1.x1) a)(a (^y1.y1))))) 11. ==[ beta ]==> (((a (a (^x.x)))(a (a (^y.y))))((a (a (^z.z)))(a (a (^y1.y1))))) 12. ==[ alpha ]==> (((a (a (^x.x)))(a (a (^y.y))))((a (a (^z.z)))(a (a (^x1.x1))))) REDUCED to normal form. ------ 102635/9558927. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 102636/9559035. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.d)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.d)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102637/9559152. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 102638/9559386. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102639/9559395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.x1))) REDUCED to normal form. ------ 102640/9559449. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 102641/9559512. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (^z.z)))) REDUCED to normal form. ------ 102642/9559593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.b)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 102643/9559620. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(y y))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(y y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x x))) REDUCED to normal form. ------ 102644/9559647. ------ 1. ==[ start ]==> (((a b)(a b))(^a.a)) 2. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 102645/9559659. ------ 1. ==[ start ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 102646/9559686. ------ 1. ==[ start ]==> ((a (a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 102647/9559713. ------ 1. ==[ start ]==> ((a b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 102648/9559767. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 102649/9559794. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 102650/9559812. ------ 1. ==[ start ]==> (((a a) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)(b (^x.(a a)))) REDUCED to normal form. ------ 102651/9559857. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 102652/9559884. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) b)(^y.(^z.z))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 102653/9559893. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 102654/9559911. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 102655/9559992. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 102656/9560019. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 102657/9560028. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(a b))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 102658/9560082. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 102659/9560109. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((b a)(b a))) REDUCED to normal form. ------ 102660/9560136. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 102661/9560154. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 102662/9560244. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 102663/9560325. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 102664/9560352. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 102665/9560379. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 102666/9560406. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 102667/9560433. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 102668/9560523. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b ((^y.y) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 102669/9560550. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 102670/9560577. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a a))) REDUCED to normal form. ------ 102671/9560604. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 102672/9560613. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102673/9560865. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.x1))) 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. ------ 102674/9561072. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 102675/9561126. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 102676/9561162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(b a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(b a))) 5. ==[ beta ]==> (b ((^y.a)(b a))) 6. ==[ alpha ]==> (b ((^x.a)(b a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102677/9561189. ------ 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. ------ 102678/9561207. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a a)(^y.y))) 3. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 4. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 102679/9561234. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102680/9561243. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b)(^a.a))) 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. ------ 102681/9561270. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 102682/9561288. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a) c)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a) c)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a) c)) 5. ==[ beta ]==> ((a ((^y.y) a))((b a) c)) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a) c)) 7. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 102683/9561351. ------ 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. ------ 102684/9561522. ------ 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. ------ 102685/9561540. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) 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. ------ 102686/9561549. ------ 1. ==[ start ]==> ((a (a b))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(a ((^x.x) b))) 3. ==[ beta ]==> ((a (a b))(a b)) REDUCED to normal form. ------ 102687/9561558. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) a)) 3. ==[ beta ]==> ((^y.b)((^z.z) a)) 4. ==[ alpha ]==> ((^x.b)((^y.y) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102688/9561810. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 102689/9561837. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102690/9561864. ------ 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 REDUCED to normal form. ------ 102691/9561891. ------ 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)))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 102692/9561909. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 102693/9561936. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 102694/9562107. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 102695/9562152. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102696/9562179. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 102697/9562233. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 7. ==[ beta ]==> (((a a)(^y.y)) c) 8. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 102698/9562323. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 102699/9562350. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 102700/9562377. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 102701/9562404. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 102702/9562458. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102703/9562530. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 102704/9562602. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 102705/9562629. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 102706/9562656. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 102707/9562683. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 102708/9562710. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 102709/9562737. ------ 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. ------ 102710/9562755. ------ 1. ==[ start ]==> (((^a.b) c)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(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. ------ 102711/9562854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 102712/9562989. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 102713/9562998. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 102714/9563025. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(b a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(b a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(b a))) 5. ==[ beta ]==> (((a a) b)(b a)) REDUCED to normal form. ------ 102715/9563070. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 102716/9563106. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 102717/9563133. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 102718/9563187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102719/9563214. ------ 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. ------ 102720/9563241. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 102721/9563331. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 102722/9563358. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 102723/9563385. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)((^y.y) a))) 3. ==[ beta ]==> ((a (a b))((a b)((^y.y) a))) 4. ==[ alpha ]==> ((a (a b))((a b)((^x.x) a))) 5. ==[ beta ]==> ((a (a b))((a b) a)) REDUCED to normal form. ------ 102724/9563412. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 102725/9563439. ------ 1. ==[ start ]==> ((((^a.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)(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 13. ==[ beta ]==> ((^y.y)(^z.z)) 14. ==[ alpha ]==> ((^x.x)(^y.y)) 15. ==[ beta ]==> (^y.y) 16. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102726/9563466. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 102727/9563493. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a b) a)(a (a b))) REDUCED to normal form. ------ 102728/9563520. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 102729/9563547. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 102730/9563664. ------ 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. ------ 102731/9563745. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 102732/9563808. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 102733/9563853. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a)) b)) 3. ==[ beta ]==> ((b a)(((^y.y)(a a)) b)) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a)) b)) 5. ==[ beta ]==> ((b a)((a a) b)) REDUCED to normal form. ------ 102734/9563880. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 102735/9563916. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 102736/9563943. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 102737/9563997. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 102738/9564024. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 102739/9564051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 102740/9564123. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b) c)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 102741/9564141. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))(((a a) a) a)) REDUCED to normal form. ------ 102742/9564168. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 102743/9564195. ------ 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)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 102744/9564222. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b))(a ((a a) a))) REDUCED to normal form. ------ 102745/9564249. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(a b))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(a b))) REDUCED to normal form. ------ 102746/9564276. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 102747/9564402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102748/9564420. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102749/9564501. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((a a)((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(a a)))) REDUCED to normal form. ------ 102750/9564582. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 102751/9564699. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 102752/9564726. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 102753/9564744. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102754/9564888. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 102755/9564915. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.b))) REDUCED to normal form. ------ 102756/9564942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(a a)))) REDUCED to normal form. ------ 102757/9564987. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102758/9565014. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 102759/9565293. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^c.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. ------ 102760/9565302. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b ((a a) a))) REDUCED to normal form. ------ 102761/9565329. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (a b))) 3. ==[ beta ]==> ((a b)(a (a b))) REDUCED to normal form. ------ 102762/9565338. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) a)) 3. ==[ beta ]==> ((^y.y)((^z.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102763/9565608. ------ 1. ==[ start ]==> (((^a.(^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 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102764/9565617. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 102765/9565644. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 102766/9565662. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.a))) 5. ==[ beta ]==> (b ((a a)(^y.a))) 6. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 102767/9565671. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 102768/9565689. ------ 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. ------ 102769/9565779. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102770/9565806. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 102771/9565833. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 102772/9565968. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 102773/9566274. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 102774/9566301. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(a a))) 3. ==[ beta ]==> ((b (a a))((a (a a))(a a))) REDUCED to normal form. ------ 102775/9566328. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 102776/9566499. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 102777/9566724. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 102778/9566751. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 102779/9566769. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 102780/9566832. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 102781/9566850. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y)) b)) 3. ==[ beta ]==> (b ((a (^y.y)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 102782/9566859. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 102783/9566913. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.x1))) REDUCED to normal form. ------ 102784/9566967. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.a))) REDUCED to normal form. ------ 102785/9566994. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 102786/9567021. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 102787/9567057. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (a a))) REDUCED to normal form. ------ 102788/9567084. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 102789/9567111. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 102790/9567138. ------ 1. ==[ start ]==> (((a (a a))(b a))(b a)) REDUCED to normal form. ------ 102791/9567165. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a b)) 5. ==[ beta ]==> (((a a)(^y.y))(a b)) 6. ==[ alpha ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 102792/9567192. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 102793/9567219. ------ 1. ==[ start ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 102794/9569121. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.z))) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102795/9572901. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102796/9574794. ------ 1. ==[ start ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 102797/9574818. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102798/9574899. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102799/9575352. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 102800/9575403. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)(^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 ]==> ((^y.(^z.z))(((^x1.x1)(^y1.(^z1.z1)))((^x2.x2)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.(^y1.y1)))((^z1.z1)(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102801/9575703. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 102802/9576186. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((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))))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(a a))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1))))((^x2.(a a))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> (((a a)((^x1.(a a))((^y1.y1)(^z1.z1))))((^x2.(a a))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> (((a a)((^x.(a a))((^y.y)(^z.z))))((^x1.(a a))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a a)(a a))((^x1.(a a))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 102803/9576699. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((^y.y)(^z.z)) b) 4. ==[ alpha ]==> (((^x.x)(^y.y)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 102804/9576702. ------ 1. ==[ start ]==> ((a (a b))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 102805/9576711. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102806/9577293. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(b a))((^z.(^x1.x1))(b a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a)))) 5. ==[ beta ]==> (((^y.(^z.z))(b a))((^x1.(^y1.y1))(b a))) 6. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 9. ==[ beta ]==> ((^y.(^z.z))(b a)) 10. ==[ alpha ]==> ((^x.(^y.y))(b a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102807/9577917. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 102808/9578178. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 102809/9578961. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 102810/9579273. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 102811/9579456. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 102812/9579561. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 102813/9579897. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (^y.((^z.z)(y y))) 6. ==[ alpha ]==> (^x.((^y.y)(x x))) 7. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 102814/9580293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a b)) a) 4. ==[ beta ]==> (((^y.y)(a b)) a) 5. ==[ alpha ]==> (((^x.x)(a b)) a) 6. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 102815/9580479. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102816/9580482. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.y))) 3. ==[ beta ]==> ((a b)(^y.(^z.y))) 4. ==[ alpha ]==> ((a b)(^x.(^y.x))) REDUCED to normal form. ------ 102817/9580491. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z b))) 3. ==[ beta ]==> ((^y.y)(^z.(z b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 102818/9580653. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((a a) a))) 3. ==[ beta ]==> (b (^z.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 102819/9580824. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 102820/9581157. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.y))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.y))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.x))) REDUCED to normal form. ------ 102821/9581292. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 102822/9581427. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 102823/9581868. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 102824/9582120. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.c)) REDUCED to normal form. ------ 102825/9582237. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 102826/9582291. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 102827/9582318. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 102828/9582345. ------ 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. ------ 102829/9582372. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 102830/9582402. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 102831/9582429. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 102832/9582456. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^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. ------ 102833/9582483. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 102834/9582537. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102835/9582564. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 102836/9582600. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 102837/9582627. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 102838/9582663. ------ 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.y1) 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. ------ 102839/9582681. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(^y.(y y))) 6. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 102840/9582762. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(^y.b))) REDUCED to normal form. ------ 102841/9582789. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 102842/9582816. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 102843/9582870. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102844/9582906. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 102845/9582933. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 102846/9582978. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b) b)) 3. ==[ beta ]==> ((a a)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 5. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 102847/9582987. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^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. ------ 102848/9583230. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 102849/9583257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 102850/9583302. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a)) a)) 3. ==[ beta ]==> ((b b)((^y.(a a)) a)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) a)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 102851/9583347. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102852/9583374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((b 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. ------ 102853/9583428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 102854/9583482. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 102855/9583509. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 9. ==[ beta ]==> ((^y.y)(a a)) 10. ==[ alpha ]==> ((^x.x)(a a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 102856/9583563. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (b a))) REDUCED to normal form. ------ 102857/9583662. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 102858/9583689. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 102859/9583770. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 102860/9583923. ------ 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. ------ 102861/9583977. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 102862/9584004. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 102863/9584031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a) c)) REDUCED to normal form. ------ 102864/9584121. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 102865/9584175. ------ 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.(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. ------ 102866/9584256. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 102867/9584283. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 102868/9584292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.b)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.b)(a ((^y.y) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102869/9584373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) IRREDUCIBLE: cycle. ------ 102870/9584454. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 102871/9584481. ------ 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. ------ 102872/9584508. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 102873/9584562. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 102874/9584625. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 102875/9584652. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 102876/9584688. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 102877/9584715. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 102878/9584742. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 102879/9584796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a b))) 7. ==[ beta ]==> (a ((^y.(^z.z))(a b))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(a b))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 102880/9584823. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 102881/9584841. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 102882/9584850. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 102883/9584877. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 102884/9585183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 9. ==[ beta ]==> ((^y.y)(b (b a))) 10. ==[ alpha ]==> ((^x.x)(b (b a))) 11. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 102885/9585219. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) a)) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1))) a)((^y.(^z.(^x1.x1))) a)) 8. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a)) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102886/9585264. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 102887/9585273. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 102888/9585498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 102889/9585732. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 102890/9585786. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a) a)) REDUCED to normal form. ------ 102891/9585840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) c)) REDUCED to normal form. ------ 102892/9586281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 102893/9586542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 102894/9586749. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 102895/9586857. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 102896/9587010. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 102897/9587037. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 102898/9587064. ------ 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 a)) REDUCED to normal form. ------ 102899/9587091. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 102900/9587136. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102901/9587145. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 102902/9587451. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 102903/9587478. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 102904/9587532. ------ 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) a)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((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. ------ 102905/9587541. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 102906/9587613. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 102907/9587730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 102908/9587766. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) 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. ------ 102909/9587793. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 102910/9587820. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 102911/9587847. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 102912/9587874. ------ 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. ------ 102913/9587901. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 102914/9587928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.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. ------ 102915/9587955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^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. ------ 102916/9587982. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 102917/9588063. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.b))) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 102918/9588072. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 102919/9588099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 102920/9588234. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 102921/9588351. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(z z)))) REDUCED to normal form. ------ 102922/9588378. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 102923/9588405. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 102924/9588432. ------ 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. ------ 102925/9588558. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 102926/9588594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.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)(^x.(^y.y))) a) REDUCED to normal form. ------ 102927/9588621. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1)) b)) 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. ------ 102928/9588666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102929/9588738. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.a))) 3. ==[ beta ]==> (((a a) b)(a (^y.a))) 4. ==[ alpha ]==> (((a a) b)(a (^x.a))) REDUCED to normal form. ------ 102930/9588765. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 102931/9588792. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((a (b a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((a (b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 102932/9588819. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 102933/9588846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 102934/9588873. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 102935/9588900. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 102936/9588927. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 102937/9588954. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 102938/9589008. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 102939/9589098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 102940/9589341. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102941/9589377. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y)) a)) 3. ==[ beta ]==> ((b b)((^y.(y y)) a)) 4. ==[ alpha ]==> ((b b)((^x.(x x)) a)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 102942/9589404. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a) b)) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 102943/9589422. ------ 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. ------ 102944/9589449. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 102945/9589485. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 102946/9589503. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c b)) 3. ==[ beta ]==> (((b a)(b a))(c b)) REDUCED to normal form. ------ 102947/9589566. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 102948/9589584. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 102949/9589593. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y)) b)) REDUCED to normal form. ------ 102950/9589647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 102951/9589692. ------ 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)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102952/9589701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) c) REDUCED to normal form. ------ 102953/9589728. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 102954/9589755. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 102955/9589791. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 102956/9589818. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 102957/9589845. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.z))) REDUCED to normal form. ------ 102958/9589872. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 102959/9589899. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 102960/9589926. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 102961/9589953. ------ 1. ==[ start ]==> (((a b)(a b))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 102962/9597537. ------ 1. ==[ start ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 102963/9597813. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (^x.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 102964/9597885. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 102965/9598056. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 102966/9598155. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b) b)) 3. ==[ beta ]==> ((((^y.y) b) b)((((^y.y) b) b)(((^y.y) b) b))) 4. ==[ alpha ]==> ((((^x.x) b) b)((((^y.y) b) b)(((^z.z) b) b))) 5. ==[ beta ]==> ((b b)((((^y.y) b) b)(((^z.z) b) b))) 6. ==[ alpha ]==> ((b b)((((^x.x) b) b)(((^y.y) b) b))) 7. ==[ beta ]==> ((b b)((b b)(((^y.y) b) b))) 8. ==[ alpha ]==> ((b b)((b b)(((^x.x) b) b))) 9. ==[ beta ]==> ((b b)((b b)(b b))) REDUCED to normal form. ------ 102967/9598473. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((y y)(y y)))) 3. ==[ beta ]==> ((b b)(^y.((y y)(y y)))) 4. ==[ alpha ]==> ((b b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 102968/9598506. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102969/9598938. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(a a))(^z.(^x1.x1)))(((^y.y)(a a))(^z.(^x1.x1))))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(((^x2.x2)(a a))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))(((^x2.x2)(a a))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1))))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 7. ==[ beta ]==> ((((a a)(^x.(^y.y)))((a a)(^x1.(^y1.y1))))(((^z1.z1)(a a))(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 9. ==[ beta ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^z1.(^x2.x2)))) 10. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 102970/9599139. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 102971/9599271. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 102972/9599463. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 102973/9599769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(a (^a.(^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. ------ 102974/9600084. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 102975/9600390. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(z (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(y (^z.(^x1.x1))))(^y.(y (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.y1))) 11. ==[ beta ]==> ((^x1.(^y1.y1))(^y.(^z.z))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102976/9600660. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(b a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(b a))) 3. ==[ beta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 102977/9600720. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((a a)(^z.z))(^x1.(^y1.y1)))(((a a)(^z.z))(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1))))(^x2.x2)) REDUCED to normal form. ------ 102978/9601983. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 102979/9602313. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.(z1 z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102980/9602649. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 102981/9602847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a b))) REDUCED to normal form. ------ 102982/9602916. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 102983/9603045. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.b))) 5. ==[ beta ]==> ((a b)(^y.(^z.b))) 6. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 102984/9603243. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 102985/9603405. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 102986/9603594. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((a a) a))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a) a))) 5. ==[ beta ]==> (^y.((a a) a)) 6. ==[ alpha ]==> (^x.((a a) a)) REDUCED to normal form. ------ 102987/9603738. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 102988/9603765. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z) z))) REDUCED to normal form. ------ 102989/9604044. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 102990/9604230. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((^y.(y y)) b)((^y.(y y)) b))(((^y.(y y)) b)((^y.(y y)) b))) 4. ==[ alpha ]==> ((((^x.(x x)) b)((^y.(y y)) b))(((^z.(z z)) b)((^x1.(x1 x1)) b))) 5. ==[ beta ]==> (((b b)((^y.(y y)) b))(((^z.(z z)) b)((^x1.(x1 x1)) b))) 6. ==[ alpha ]==> (((b b)((^x.(x x)) b))(((^y.(y y)) b)((^z.(z z)) b))) 7. ==[ beta ]==> (((b b)(b b))(((^y.(y y)) b)((^z.(z z)) b))) 8. ==[ alpha ]==> (((b b)(b b))(((^x.(x x)) b)((^y.(y y)) b))) 9. ==[ beta ]==> (((b b)(b b))((b b)((^y.(y y)) b))) 10. ==[ alpha ]==> (((b b)(b b))((b b)((^x.(x x)) b))) 11. ==[ beta ]==> (((b b)(b b))((b b)(b b))) REDUCED to normal form. ------ 102991/9604548. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(y (y y)))) 3. ==[ beta ]==> ((b b)(^y.(y (y y)))) 4. ==[ alpha ]==> ((b b)(^x.(x (x x)))) REDUCED to normal form. ------ 102992/9604629. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 102993/9604818. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 102994/9604872. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 102995/9604989. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.b)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.b)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.b)) REDUCED to normal form. ------ 102996/9605043. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 102997/9605124. ------ 1. ==[ start ]==> (((a b)(a b))(^b.a)) 2. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 102998/9605172. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(a b))) 2. ==[ alpha ]==> (((^x.x) a)((a b)(a b))) 3. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 102999/9605199. ------ 1. ==[ start ]==> (((a a) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 103000/9605226. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 103001/9605253. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(b a))) 3. ==[ beta ]==> (b ((a (a a))(b a))) REDUCED to normal form. ------ 103002/9605280. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 103003/9605307. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a) b)((a (^x.x)) b)) REDUCED to normal form. ------ 103004/9605325. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 103005/9605334. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 103006/9605406. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 103007/9605424. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 103008/9605451. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 103009/9605478. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 103010/9605487. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 103011/9605514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103012/9605595. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103013/9605649. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 103014/9605667. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 103015/9605721. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 103016/9605748. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) b)) 3. ==[ beta ]==> ((a (a (a a)))(b b)) REDUCED to normal form. ------ 103017/9605757. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103018/9605784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103019/9605865. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 103020/9605892. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103021/9605946. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(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. ------ 103022/9606063. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a ((a a)(a a)))) 3. ==[ beta ]==> ((b b)(a ((a a)(a a)))) REDUCED to normal form. ------ 103023/9606099. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 103024/9606198. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.x))) REDUCED to normal form. ------ 103025/9606225. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((a b)((a a) a))) 5. ==[ beta ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 103026/9606252. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 103027/9606279. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 103028/9606306. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 103029/9606333. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 103030/9606360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 103031/9606423. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.y))) REDUCED to normal form. ------ 103032/9606450. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 103033/9606477. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(^y.a))) REDUCED to normal form. ------ 103034/9606504. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 103035/9606531. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.(^z.z)))) 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. ------ 103036/9606567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103037/9606621. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 103038/9606702. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 103039/9606729. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) 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. ------ 103040/9606783. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 103041/9606864. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 103042/9607035. ------ 1. ==[ start ]==> (((^a.b) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 103043/9607053. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103044/9607197. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)((a b)(^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.x))) REDUCED to normal form. ------ 103045/9607224. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 103046/9607251. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 103047/9607305. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 103048/9607332. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 103049/9607359. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.a)((a a)(a (^y.(^z.z))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103050/9607404. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 103051/9607449. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 103052/9607476. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 103053/9607503. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 103054/9607557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.b))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.b))) 9. ==[ beta ]==> (a ((^y.y)(^z.b))) 10. ==[ alpha ]==> (a ((^x.x)(^y.b))) 11. ==[ beta ]==> (a (^y.b)) 12. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 103055/9607584. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 103056/9607611. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 103057/9607647. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103058/9607674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 103059/9607809. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103060/9607863. ------ 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. ------ 103061/9607890. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103062/9607953. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 103063/9607980. ------ 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.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.(x x))(a (a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (a (^y.(^z.z))))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 103064/9608007. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)(a a))) REDUCED to normal form. ------ 103065/9608034. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 103066/9608061. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 103067/9608250. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(b a))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 103068/9608286. ------ 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. ------ 103069/9608313. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 103070/9608349. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103071/9608484. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103072/9608646. ------ 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. ------ 103073/9608727. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103074/9608790. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 103075/9608880. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a)) c)) 3. ==[ beta ]==> ((a (a b))((^y.(a a)) c)) 4. ==[ alpha ]==> ((a (a b))((^x.(a a)) c)) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 103076/9609159. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103077/9609240. ------ 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. ------ 103078/9609348. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 103079/9609375. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103080/9609429. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 103081/9609510. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103082/9609519. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (a b))) REDUCED to normal form. ------ 103083/9609546. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(b (a a))) REDUCED to normal form. ------ 103084/9609573. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 103085/9609636. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.b) c)) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 103086/9609825. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 103087/9609852. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 103088/9609906. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 103089/9609915. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103090/9609996. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 103091/9610077. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103092/9610185. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103093/9610212. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 103094/9610221. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (a b))) REDUCED to normal form. ------ 103095/9610239. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 103096/9610302. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 103097/9610329. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103098/9610383. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 103099/9610410. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 103100/9610437. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(a b))) REDUCED to normal form. ------ 103101/9610482. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103102/9610509. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 103103/9610527. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.a)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 103104/9610554. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 103105/9610581. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 103106/9610635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.b))) 5. ==[ beta ]==> ((a b)((a a)(^y.b))) 6. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 103107/9610662. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b) a)) REDUCED to normal form. ------ 103108/9610689. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a) b)) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 103109/9610788. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103110/9610833. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 103111/9610995. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 103112/9611103. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103113/9611157. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103114/9611184. ------ 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 a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((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. ------ 103115/9611238. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 103116/9611301. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (a (a a)))) REDUCED to normal form. ------ 103117/9611319. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103118/9611328. ------ 1. ==[ start ]==> (((a b)(^c.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 103119/9611355. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 103120/9611382. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 103121/9611436. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 103122/9611463. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 103123/9611526. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 103124/9611553. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 103125/9611580. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.a))) REDUCED to normal form. ------ 103126/9611607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 103127/9611634. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 103128/9611661. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y) a)) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x) a)) 5. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 103129/9611688. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 103130/9611796. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 103131/9611823. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x)) b)) 3. ==[ beta ]==> ((a ((a a)(a a)))(b b)) REDUCED to normal form. ------ 103132/9611859. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 103133/9611994. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 103134/9612102. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103135/9612138. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (a (a a)))) 3. ==[ beta ]==> ((b b)(a (a (a a)))) REDUCED to normal form. ------ 103136/9612165. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (a a))) REDUCED to normal form. ------ 103137/9612210. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 103138/9612219. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 103139/9612264. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(a a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 103140/9612345. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103141/9612354. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (a a))) REDUCED to normal form. ------ 103142/9612408. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 103143/9612453. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(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. ------ 103144/9612462. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 103145/9612489. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 103146/9612516. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b b)) REDUCED to normal form. ------ 103147/9612552. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x)) a)) REDUCED to normal form. ------ 103148/9612579. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) b)) REDUCED to normal form. ------ 103149/9612606. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 103150/9612633. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x) b)) 3. ==[ beta ]==> (((a (a a))(b a)) b) REDUCED to normal form. ------ 103151/9612660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 103152/9612687. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((a a) a)) REDUCED to normal form. ------ 103153/9612714. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 103154/9612740. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))((x x) x))) 3. ==[ beta ]==> (^x.((x x)((x x) x))) REDUCED to normal form. ------ 103155/9612741. ------ 1. ==[ start ]==> (a (((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (a (((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 103156/9616659. ------ 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)))) REDUCED to normal form. ------ 103157/9620334. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a)) a) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 103158/9620340. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 5. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 103159/9620367. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(a b))) 3. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 103160/9620394. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 103161/9620475. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^z.z) a)(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 103162/9620592. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(b (^y.(^z.z)))) REDUCED to normal form. ------ 103163/9620835. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 103164/9621252. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 103165/9621261. ------ 1. ==[ start ]==> (((a (a a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 103166/9621285. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103167/9621927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 103168/9622230. ------ 1. ==[ start ]==> ((^a.(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b (a (^y.(^z.z)))) b) 4. ==[ alpha ]==> ((b (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 103169/9622575. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 103170/9622617. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((b a)(^z.(^x1.x1)))((b a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((b a)(^y.(^z.z)))((b a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 103171/9622863. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 103172/9623169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(^z.(^x1.(^y1.y1))))(^y.(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> (^y.(^z.(^x1.x1))) 10. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 103173/9623439. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 103174/9623448. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(b a))) REDUCED to normal form. ------ 103175/9623736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y a))) REDUCED to normal form. ------ 103176/9624015. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(b y))) 3. ==[ eta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 103177/9624255. ------ 1. ==[ start ]==> ((^a.(b a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a a)((a a)(^y.y)))) 3. ==[ eta ]==> (b ((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 103178/9624258. ------ 1. ==[ start ]==> ((a (b a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 103179/9624762. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 103180/9624804. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 103181/9624987. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 103182/9625695. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103183/9626010. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103184/9626382. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((a a) a))) REDUCED to normal form. ------ 103185/9626544. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 103186/9626688. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^x.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 103187/9626985. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((b (a a))(^x.(^y.y))) REDUCED to normal form. ------ 103188/9627009. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(a a))) 3. ==[ beta ]==> ((((a (a a))(a a))((a (a a))(a a)))(((a (a a))(a a))((a (a a))(a a)))) REDUCED to normal form. ------ 103189/9627327. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 103190/9627435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 103191/9627516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 103192/9627597. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 103193/9627678. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 103194/9627795. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^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)))) REDUCED to normal form. ------ 103195/9627822. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a a))) REDUCED to normal form. ------ 103196/9627876. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.b)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.b)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.b)) REDUCED to normal form. ------ 103197/9627903. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(x x))) REDUCED to normal form. ------ 103198/9627930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.y)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 103199/9627942. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 103200/9627969. ------ 1. ==[ start ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 103201/9627996. ------ 1. ==[ start ]==> ((a b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)(a a))) REDUCED to normal form. ------ 103202/9628050. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(b a))) REDUCED to normal form. ------ 103203/9628077. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 103204/9628095. ------ 1. ==[ start ]==> (((a a) b)(c (^b.b))) 2. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 103205/9628122. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 103206/9628167. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 103207/9628194. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 103208/9628230. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103209/9628275. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 103210/9628311. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 103211/9628338. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(a b))) 3. ==[ beta ]==> ((a a)((^y.b)(a b))) 4. ==[ alpha ]==> ((a a)((^x.b)(a b))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 103212/9628356. ------ 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. ------ 103213/9628365. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 103214/9628392. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 103215/9628419. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a (^x.x))((b a)(b a))) REDUCED to normal form. ------ 103216/9628437. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 103217/9628545. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) b)) 5. ==[ beta ]==> ((((^y.y) b) b)(((^y.y) b) b)) 6. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) b) b)) 7. ==[ beta ]==> ((b b)(((^y.y) b) b)) 8. ==[ alpha ]==> ((b b)(((^x.x) b) b)) 9. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 103218/9628572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> ((a (^y.(^z.z))) c) 6. ==[ alpha ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 103219/9628662. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 103220/9628689. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 103221/9628743. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 103222/9628833. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((a (a (^y.y)))(b ((^z.z) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b ((^y.y) b))) 5. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 103223/9628851. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((b b)(^y.(a a))) 6. ==[ alpha ]==> ((b b)(^x.(a a))) REDUCED to normal form. ------ 103224/9628860. ------ 1. ==[ start ]==> (((a (a a))(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 103225/9628887. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 103226/9628896. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103227/9629184. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 103228/9629355. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 103229/9629409. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (a (^y.(a a))) 10. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 103230/9629445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 7. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 8. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 103231/9629472. ------ 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. ------ 103232/9629490. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 103233/9629517. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 103234/9629526. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 103235/9629553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 103236/9629571. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z))) b)) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 103237/9629580. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 103238/9629823. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103239/9629832. ------ 1. ==[ start ]==> ((a (a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 103240/9630147. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103241/9630174. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 103242/9630192. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 103243/9630201. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 103244/9630219. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 103245/9630390. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 103246/9630462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 103247/9630516. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) b)) 5. ==[ beta ]==> ((^y.y)((b a) b)) 6. ==[ alpha ]==> ((^x.x)((b a) b)) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 103248/9630606. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 103249/9630660. ------