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. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 103250/9630687. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 103251/9630768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y)(^z.(^x1.(^y1.y1))))((^y.y)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103252/9630885. ------ 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)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 103253/9630912. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 103254/9630939. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a) a))) 7. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 103255/9630966. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(a b))) REDUCED to normal form. ------ 103256/9630993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(a ((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 103257/9631020. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))((a 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. ------ 103258/9631038. ------ 1. ==[ start ]==> (((^a.b) c)(b (^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 103259/9631047. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(b a))) REDUCED to normal form. ------ 103260/9631137. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 103261/9631272. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 103262/9631281. ------ 1. ==[ start ]==> (((a b) c)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 103263/9631308. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 103264/9631335. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b a)) REDUCED to normal form. ------ 103265/9631353. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) a)) REDUCED to normal form. ------ 103266/9631380. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 103267/9631389. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 103268/9631416. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 103269/9631470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103270/9631497. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 103271/9631524. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 103272/9631551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 103273/9631614. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (b a))) REDUCED to normal form. ------ 103274/9631641. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 103275/9631668. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a b))((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 103276/9631695. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a b) a)) REDUCED to normal form. ------ 103277/9631722. ------ 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. ------ 103278/9631749. ------ 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. ------ 103279/9631776. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a b) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 103280/9631803. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (a b))) REDUCED to normal form. ------ 103281/9631830. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a (^y.y))(a a))) REDUCED to normal form. ------ 103282/9631857. ------ 1. ==[ start ]==> ((a (b a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 103283/9631947. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.a))) 5. ==[ beta ]==> (b ((a b)(^z.a))) 6. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 103284/9632028. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.a))) 3. ==[ beta ]==> (b ((a (a a))(^z.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 103285/9632091. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 103286/9632136. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y)) a)) 3. ==[ beta ]==> ((b a)(((a a)(^y.y)) a)) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 103287/9632163. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 103288/9632199. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 103289/9632226. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 103290/9632280. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 103291/9632307. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 103292/9632334. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 103293/9632406. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 103294/9632424. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 103295/9632451. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 103296/9632478. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 103297/9632505. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 103298/9632532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> (((a a) a)(a ((a a) a))) REDUCED to normal form. ------ 103299/9632559. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 103300/9632586. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 103301/9632703. ------ 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)(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103302/9632784. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 103303/9632865. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 103304/9632982. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 103305/9633009. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 103306/9633081. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.b) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.b) b)) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 103307/9633225. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.b))) REDUCED to normal form. ------ 103308/9633270. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103309/9633279. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 103310/9633297. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 103311/9633576. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103312/9633612. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b ((a a) a))) 3. ==[ beta ]==> ((a b)(b ((a a) a))) REDUCED to normal form. ------ 103313/9633648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b) a)) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 103314/9633891. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103315/9633900. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(a ((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((^z.z) a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 103316/9633927. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 103317/9633945. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 103318/9633954. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 103319/9633981. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 103320/9634026. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 103321/9634062. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103322/9634089. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 103323/9634116. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 103324/9634143. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 103325/9634251. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.(y y)))) REDUCED to normal form. ------ 103326/9634287. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 103327/9634557. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (a (a a)))) REDUCED to normal form. ------ 103328/9634584. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b (a a))(a (^y.y))) 6. ==[ alpha ]==> ((b (a a))(a (^x.x))) REDUCED to normal form. ------ 103329/9634611. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 103330/9634647. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103331/9634782. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 103332/9634890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103333/9634926. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((b b)(^y.(y y))) 6. ==[ alpha ]==> ((b b)(^x.(x x))) REDUCED to normal form. ------ 103334/9634971. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) b)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 103335/9634998. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103336/9635007. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 103337/9635034. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 103338/9635052. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.y))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.x))) REDUCED to normal form. ------ 103339/9635115. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 103340/9635133. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a) a)) 3. ==[ beta ]==> (b (((^y.y) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 103341/9635142. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 103342/9635196. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 103343/9635241. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103344/9635250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 103345/9635277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 103346/9635304. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 103347/9635367. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a a))) REDUCED to normal form. ------ 103348/9635394. ------ 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. ------ 103349/9635421. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(a a))) REDUCED to normal form. ------ 103350/9635448. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b a)) 5. ==[ beta ]==> (((a a)(^y.y))(b a)) 6. ==[ alpha ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 103351/9635475. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a b)) 3. ==[ beta ]==> ((((a a) a)(a a))(a b)) REDUCED to normal form. ------ 103352/9635502. ------ 1. ==[ start ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 103353/9635529. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a a)) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 103354/9643131. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a)) b) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a)) b) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 103355/9643155. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103356/9643236. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103357/9643716. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 103358/9644067. ------ 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. ------ 103359/9644733. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 103360/9645036. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1)))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103361/9645630. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.a)((a a)(^x1.x1)))((^z.a)((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)((a a)(^z.z)))((^x1.a)((a a)(^y1.y1))))) 5. ==[ beta ]==> (((^y.a)((a a)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (a ((^z.a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103362/9646281. ------ 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. ------ 103363/9647061. ------ 1. ==[ start ]==> ((^a.(b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b (^y.(^z.z)))) 3. ==[ eta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 103364/9647610. ------ 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. ------ 103365/9648657. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a x))) 3. ==[ eta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 103366/9648816. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103367/9648855. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(z1 b))) 3. ==[ beta ]==> ((^y.y)(^z1.(z1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 103368/9649656. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 103369/9649791. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^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. ------ 103370/9650133. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.d)) 3. ==[ beta ]==> ((b b)(^y.d)) 4. ==[ alpha ]==> ((b b)(^x.d)) REDUCED to normal form. ------ 103371/9650322. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 103372/9650403. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 103373/9650484. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.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. ------ 103374/9650547. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(a (^y.y)))) REDUCED to normal form. ------ 103375/9650601. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^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. ------ 103376/9650655. ------ 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)))) REDUCED to normal form. ------ 103377/9650682. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a a))) REDUCED to normal form. ------ 103378/9650709. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 103379/9650736. ------ 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. ------ 103380/9650766. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 103381/9650793. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 103382/9650820. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 103383/9650847. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 103384/9650901. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103385/9650928. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 103386/9650955. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 103387/9650991. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 103388/9651027. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 103389/9651045. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((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. ------ 103390/9651054. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 103391/9651126. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 103392/9651153. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(^y.b))) 3. ==[ beta ]==> ((a a)((a b)(^y.b))) 4. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 103393/9651180. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 103394/9651270. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 103395/9651297. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 103396/9651324. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 103397/9651342. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a)) a)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 103398/9651621. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 103399/9651648. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 103400/9651711. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103401/9651738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 103402/9651792. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 103403/9651846. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 103404/9651873. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 103405/9651927. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 103406/9651999. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 103407/9652053. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a a))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 103408/9652080. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))(a (^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. ------ 103409/9652260. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 103410/9652341. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 103411/9652368. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) a)) 5. ==[ beta ]==> ((a (^x.(x x)))(b a)) REDUCED to normal form. ------ 103412/9652395. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 103413/9652422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) c)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103414/9652485. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 103415/9652512. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 103416/9652566. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.(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. ------ 103417/9652647. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 103418/9652656. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.b)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.b)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103419/9652737. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(a (^z.z)))) IRREDUCIBLE: cycle. ------ 103420/9652818. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 103421/9652845. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 103422/9652872. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 103423/9652926. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 103424/9653016. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 103425/9653106. ------ 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 (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 103426/9653133. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 103427/9653187. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 103428/9653205. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 103429/9653214. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a a))((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b)(a a))((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a b)(a a))((a a)(a a))) REDUCED to normal form. ------ 103430/9653241. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 103431/9653610. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 103432/9653628. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 103433/9653889. ------ 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. ------ 103434/9654096. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a b) c)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a b) c)(a (^x.(a a)))) REDUCED to normal form. ------ 103435/9654123. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 103436/9654204. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 103437/9654231. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a)) c)) 5. ==[ beta ]==> ((a (^x.b))((a a) c)) REDUCED to normal form. ------ 103438/9654672. ------ 1. ==[ start ]==> ((a (b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 103439/9654906. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 103440/9655014. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((a b) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b) c)) REDUCED to normal form. ------ 103441/9655221. ------ 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. ------ 103442/9655401. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 103443/9655455. ------ 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 a)) REDUCED to normal form. ------ 103444/9655500. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103445/9655842. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 103446/9655896. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(a a))) 7. ==[ beta ]==> (((a a)(a a))((a b)(a a))) REDUCED to normal form. ------ 103447/9655905. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 103448/9655932. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) c)) 5. ==[ beta ]==> ((^y.b)((^z.a) c)) 6. ==[ alpha ]==> ((^x.b)((^y.a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103449/9655977. ------ 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))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 103450/9656094. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(^x1.x1))) REDUCED to normal form. ------ 103451/9656157. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 103452/9656184. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 103453/9656211. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 103454/9656238. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 103455/9656265. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a b)) REDUCED to normal form. ------ 103456/9656292. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 103457/9656346. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 103458/9656400. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 103459/9656427. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 103460/9656436. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 103461/9656463. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 103462/9656598. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 103463/9656715. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.a))) REDUCED to normal form. ------ 103464/9656742. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((b a)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b a)(a (^x.(x x)))) REDUCED to normal form. ------ 103465/9656769. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 103466/9656877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a)) c)) 5. ==[ beta ]==> ((^y.(a a))((a (a a)) c)) 6. ==[ alpha ]==> ((^x.(a a))((a (a a)) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103467/9656922. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 103468/9657030. ------ 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))(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. ------ 103469/9657102. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 103470/9657156. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 103471/9657183. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 103472/9657210. ------ 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.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.a)((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 103473/9657237. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 103474/9657264. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 103475/9657291. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^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))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 103476/9657318. ------ 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 y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 103477/9657372. ------ 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.(^y1.y1))(^z1.(z1 z1)))) 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. ------ 103478/9657399. ------ 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)))) 5. ==[ beta ]==> ((b (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((b (a a))(^x.(^y.y))) REDUCED to normal form. ------ 103479/9657462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 103480/9657597. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 103481/9657705. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103482/9657768. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 103483/9657786. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 103484/9657813. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 103485/9657822. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 103486/9657930. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 103487/9657957. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a) a)) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 103488/9658011. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) c)) REDUCED to normal form. ------ 103489/9658056. ------ 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))(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. ------ 103490/9658065. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 103491/9658092. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((b (^x.(^y.y))) c) REDUCED to normal form. ------ 103492/9658119. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 103493/9658155. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 103494/9658182. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 103495/9658209. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 103496/9658236. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.x))) REDUCED to normal form. ------ 103497/9658263. ------ 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. ------ 103498/9658290. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 103499/9658317. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 103500/9658344. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 103501/9666231. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.((^z.(a a))(a a))) 4. ==[ alpha ]==> (^x.((^y.(a a))(a a))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 103502/9666303. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(^z.(z z)))) 3. ==[ eta ]==> ((^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. ------ 103503/9666474. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 103504/9666573. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^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))) REDUCED to normal form. ------ 103505/9666798. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103506/9667356. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((((a a)(^y.y))(^z.(z z)))(((a a)(^y.y))(^z.(z z))))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1))))(((a a)(^y1.y1))(^z1.(z1 z1)))) REDUCED to normal form. ------ 103507/9667689. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 103508/9668232. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 103509/9668256. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))(a a))((^z.(^x1.(^y1.y1)))(a a)))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))(a a))((^y1.(^z1.(^x2.x2)))(a a)))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.(^z1.(^x2.x2)))(a a)))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a)))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103510/9668835. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 103511/9669138. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> ((((b a)(^z.z))((b a)(^z.z)))(^y.y)) 4. ==[ alpha ]==> ((((b a)(^x.x))((b a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 103512/9669393. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z a))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y a))) REDUCED to normal form. ------ 103513/9670176. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 103514/9670731. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 103515/9671310. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103516/9671334. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103517/9671688. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 103518/9672210. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((z z) z))) REDUCED to normal form. ------ 103519/9672489. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 103520/9672648. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((^y.(^z.z)) a)((^y.(^z.z)) a))(((^y.(^z.z)) a)((^y.(^z.z)) a))) 4. ==[ alpha ]==> ((((^x.(^y.y)) a)((^z.(^x1.x1)) a))(((^y1.(^z1.z1)) a)((^x2.(^y2.y2)) a))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) a))(((^y1.(^z1.z1)) a)((^x2.(^y2.y2)) a))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) a))(((^x1.(^y1.y1)) a)((^z1.(^x2.x2)) a))) 7. ==[ beta ]==> (((^y.(^z.z)) a)(((^x1.(^y1.y1)) a)((^z1.(^x2.x2)) a))) 8. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) a)((^y1.(^z1.z1)) a))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) a)((^x1.(^y1.y1)) a))) 11. ==[ beta ]==> (((^y.(^z.z)) a)((^x1.(^y1.y1)) a)) 12. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1)) a)) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 15. ==[ beta ]==> ((^y.(^z.z)) a) 16. ==[ alpha ]==> ((^x.(^y.y)) a) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103521/9672993. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(x (x x)))) REDUCED to normal form. ------ 103522/9673092. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 103523/9673173. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 103524/9673317. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(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. ------ 103525/9673488. ------ 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. ------ 103526/9673542. ------ 1. ==[ start ]==> (((a b)(a b))(^c.a)) 2. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 103527/9673569. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.a)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 103528/9673617. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (a (((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (a (((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 103529/9673644. ------ 1. ==[ start ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 103530/9673671. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 103531/9673698. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 103532/9673725. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 103533/9673752. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 103534/9673779. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 103535/9673797. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 103536/9673806. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 103537/9673851. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 103538/9673869. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 103539/9673896. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 103540/9673923. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 103541/9674013. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a b))) 5. ==[ beta ]==> (a ((^y.b)(a b))) 6. ==[ alpha ]==> (a ((^x.b)(a b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 103542/9674094. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (^x.(x x)))((b a)(b a))) REDUCED to normal form. ------ 103543/9674112. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.(^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))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 103544/9674139. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 103545/9674193. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 103546/9674229. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103547/9674337. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103548/9674418. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 103549/9674508. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b ((^y.y) b))) 3. ==[ beta ]==> ((b b)(b ((^y.y) b))) 4. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 103550/9674643. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 103551/9674670. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 103552/9674697. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 103553/9674724. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(a b))) REDUCED to normal form. ------ 103554/9674751. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.a))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.a))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 103555/9674778. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 103556/9674805. ------ 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. ------ 103557/9674895. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.y))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 103558/9674922. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 103559/9674949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 103560/9674976. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 103561/9675012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103562/9675066. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a b))) 5. ==[ beta ]==> (a ((^z.a)(a b))) 6. ==[ alpha ]==> (a ((^x.a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103563/9675147. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(b a))) 3. ==[ beta ]==> (((a a) a)((^y.a)(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(b a))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 103564/9675174. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a (^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. ------ 103565/9675228. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 103566/9675309. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 103567/9675480. ------ 1. ==[ start ]==> (((^a.b) a)(c (b a))) 2. ==[ alpha ]==> (((^x.b) a)(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 103568/9675498. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103569/9675642. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(a (a a)))) REDUCED to normal form. ------ 103570/9675669. ------ 1. ==[ start ]==> (((a b) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) a)((a b)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((a b)(^x.x))) REDUCED to normal form. ------ 103571/9675696. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 103572/9675750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 103573/9675777. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 103574/9675804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(b a))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(b a))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103575/9675831. ------ 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.(^x1.x1))))) REDUCED to normal form. ------ 103576/9675849. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 103577/9675876. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 103578/9675894. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 103579/9675921. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 103580/9675948. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(z z)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 103581/9675975. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 103582/9676029. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.b)) 6. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 103583/9676056. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 103584/9676092. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 103585/9676119. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103586/9676173. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.y2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103587/9676254. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 103588/9676335. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103589/9676389. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 103590/9676398. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 103591/9676425. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (b a))) 5. ==[ beta ]==> ((^y.(y y))(b (b a))) 6. ==[ alpha ]==> ((^x.(x x))(b (b a))) 7. ==[ beta ]==> ((b (b a))(b (b a))) REDUCED to normal form. ------ 103592/9676452. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 103593/9676479. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 103594/9676506. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 103595/9676695. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 103596/9676758. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 103597/9676794. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103598/9676929. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(a b))) 3. ==[ beta ]==> (b ((^z.(z z))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 103599/9677010. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 103600/9677091. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 103601/9677172. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103602/9677325. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 103603/9677352. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 103604/9677604. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 103605/9677685. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103606/9677793. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(^y.y))) 6. ==[ alpha ]==> ((b a)((a a)(^x.x))) REDUCED to normal form. ------ 103607/9677874. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 103608/9677955. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103609/9677991. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (a b))) 3. ==[ beta ]==> (((a a)(^y.a))(c (a b))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (a b))) REDUCED to normal form. ------ 103610/9678018. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 103611/9678081. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a)) b)) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 103612/9678108. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 103613/9678297. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 103614/9678351. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.a))) REDUCED to normal form. ------ 103615/9678441. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a a)((^z.a)((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 103616/9678522. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 103617/9678630. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103618/9678657. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 103619/9678684. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103620/9678747. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(a a))) REDUCED to normal form. ------ 103621/9678774. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103622/9678828. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 103623/9678855. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 103624/9678882. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 103625/9678927. ------ 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 (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103626/9678954. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a a))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 103627/9678972. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 103628/9678999. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.a)) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.a)) REDUCED to normal form. ------ 103629/9679026. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 103630/9679053. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 103631/9679080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 103632/9679107. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 103633/9679134. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b) a)) 3. ==[ beta ]==> (((a b)(^y.y))((a b) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((a b) a)) REDUCED to normal form. ------ 103634/9679161. ------ 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. ------ 103635/9679278. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103636/9679305. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.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. ------ 103637/9679440. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 103638/9679548. ------ 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))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103639/9679602. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (a a)))) 5. ==[ beta ]==> (b ((^y.a)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103640/9679629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103641/9679764. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103642/9679773. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (a (a a)))) REDUCED to normal form. ------ 103643/9679800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 103644/9679827. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((a a) a))) REDUCED to normal form. ------ 103645/9679881. ------ 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))(a (^y1.y1)))) REDUCED to normal form. ------ 103646/9679908. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> ((b (^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 103647/9679998. ------ 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. ------ 103648/9680025. ------ 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 a))(^y.(^z.z)))) REDUCED to normal form. ------ 103649/9680052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 9. ==[ beta ]==> ((a a)(a (^y.a))) 10. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 103650/9680079. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 103651/9680106. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 103652/9680133. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 103653/9680160. ------ 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)) REDUCED to normal form. ------ 103654/9680268. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 103655/9680439. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103656/9680547. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103657/9680583. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b ((^y.y) a))) 3. ==[ beta ]==> ((b b)(b ((^y.y) a))) 4. ==[ alpha ]==> ((b b)(b ((^x.x) a))) 5. ==[ beta ]==> ((b b)(b a)) REDUCED to normal form. ------ 103658/9680610. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a (a (a a)))) REDUCED to normal form. ------ 103659/9680655. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 103660/9680664. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 103661/9680691. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 103662/9680709. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.(y y)))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 103663/9680772. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b c)) REDUCED to normal form. ------ 103664/9680790. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103665/9680853. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 103666/9680907. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 103667/9680934. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 103668/9680997. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 103669/9681024. ------ 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 (^x.x)) b)((a (^z.z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 103670/9681051. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 103671/9681078. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 103672/9681105. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 103673/9681132. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 103674/9681159. ------ 1. ==[ start ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 103675/9681186. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 103676/9681212. ------ 1. ==[ start ]==> (^a.(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^x.(((x x)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (^x.(((x x)(^y.y))(^z.z))) REDUCED to normal form. ------ 103677/9681213. ------ 1. ==[ start ]==> (a (((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (a (((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 103678/9682161. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103679/9687885. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1))))((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1))))((^x2.((^y2.y2)(^z2.z2)))(^x3.((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x2.((^y2.y2)(^z2.z2)))(^x3.((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.((^x1.x1)(^y1.y1)))(^z1.((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(^y1.y1)))(^z1.((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103680/9688833. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a))) a) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z))) a) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z)) a) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 103681/9688839. ------ 1. ==[ start ]==> ((^a.a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 103682/9688866. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((a a) a))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 103683/9688893. ------ 1. ==[ start ]==> ((^a.b)((a b)(a b))) 2. ==[ alpha ]==> ((^x.b)((a b)(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 103684/9688974. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 103685/9689091. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (^y.(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (^x.(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 103686/9689427. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a a)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 103687/9689784. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103688/9689787. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (^y.y))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 103689/9690453. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.z)) 5. ==[ beta ]==> ((a (^y.(y y)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 103690/9690729. ------ 1. ==[ start ]==> ((^a.(a b))(c (b a))) 2. ==[ alpha ]==> ((^x.(x b))(c (b a))) 3. ==[ beta ]==> ((c (b a)) b) REDUCED to normal form. ------ 103691/9691101. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 103692/9691116. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))(^y1.y1))((a (^z.(^x1.x1)))(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))(^x1.x1))((a (^y1.(^z1.z1)))(^x2.x2)))) REDUCED to normal form. ------ 103693/9691695. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 103694/9692541. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(a a))) b) 4. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 103695/9692754. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))((^z.z)(a a)))) 3. ==[ eta ]==> (b ((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 103696/9693036. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 103697/9694179. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 103698/9694194. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103699/9694509. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103700/9695070. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.a))) REDUCED to normal form. ------ 103701/9695508. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a ((^y.y)(^z.z)))(a ((^y.y)(^z.z))))((a ((^y.y)(^z.z)))(a ((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((a ((^x.x)(^y.y)))(a ((^z.z)(^x1.x1))))((a ((^y1.y1)(^z1.z1)))(a ((^x2.x2)(^y2.y2))))) 5. ==[ beta ]==> (((a (^y.y))(a ((^z.z)(^x1.x1))))((a ((^y1.y1)(^z1.z1)))(a ((^x2.x2)(^y2.y2))))) 6. ==[ alpha ]==> (((a (^x.x))(a ((^y.y)(^z.z))))((a ((^x1.x1)(^y1.y1)))(a ((^z1.z1)(^x2.x2))))) 7. ==[ beta ]==> (((a (^x.x))(a (^z.z)))((a ((^x1.x1)(^y1.y1)))(a ((^z1.z1)(^x2.x2))))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a ((^z.z)(^x1.x1)))(a ((^y1.y1)(^z1.z1))))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(a ((^y1.y1)(^z1.z1))))) 10. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a ((^x1.x1)(^y1.y1))))) 11. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^y1.y1)))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 103702/9695511. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 103703/9695853. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(y y)))) REDUCED to normal form. ------ 103704/9696033. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^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. ------ 103705/9696042. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 103706/9696204. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 103707/9696267. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.c)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.c)) REDUCED to normal form. ------ 103708/9696321. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 103709/9696402. ------ 1. ==[ start ]==> (((a b)(a b))(^a.b)) 2. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 103710/9696429. ------ 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. ------ 103711/9696456. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 103712/9696468. ------ 1. ==[ start ]==> ((a a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 103713/9696495. ------ 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. ------ 103714/9696522. ------ 1. ==[ start ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 103715/9696576. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 103716/9696603. ------ 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. ------ 103717/9696675. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 103718/9696720. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 103719/9696756. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 103720/9696801. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.a)((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.a)((b a)(^y.(y y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 103721/9696828. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 103722/9696837. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 103723/9696864. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 103724/9696882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.b))) 5. ==[ beta ]==> (a ((a b)(^y.b))) 6. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 103725/9696891. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 103726/9696909. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 103727/9696945. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 103728/9697053. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 103729/9697071. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a)) a)) 5. ==[ beta ]==> ((((a a)(a a)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 103730/9697098. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103731/9697134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 103732/9697215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 103733/9697242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 103734/9697377. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 103735/9697386. ------ 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. ------ 103736/9697413. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 103737/9697422. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103738/9697449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103739/9697710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 103740/9697737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a) b)) REDUCED to normal form. ------ 103741/9697881. ------ 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)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 103742/9697935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(^z.b))) 5. ==[ beta ]==> (a (((a a) a)(^z.b))) 6. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 103743/9697971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103744/9697998. ------ 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. ------ 103745/9698043. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.(^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. ------ 103746/9698052. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 103747/9698079. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z) b)) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 7. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 103748/9698097. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) a)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) a)) 7. ==[ beta ]==> ((a a)(((^y.y) b) a)) 8. ==[ alpha ]==> ((a a)(((^x.x) b) a)) 9. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 103749/9698106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 103750/9698133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103751/9698358. ------ 1. ==[ start ]==> ((a (a b))(c (b a))) REDUCED to normal form. ------ 103752/9698448. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) IRREDUCIBLE: cycle. ------ 103753/9698673. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.a))) 5. ==[ beta ]==> ((^y.a)(c (^z.a))) 6. ==[ alpha ]==> ((^x.a)(c (^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103754/9698700. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 103755/9698727. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 103756/9698745. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 103757/9698916. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 103758/9698961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)(^c.(^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. ------ 103759/9699042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 7. ==[ beta ]==> ((a (^y.(^z.z))) a) 8. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 103760/9699132. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 103761/9699159. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 103762/9699186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 103763/9699213. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 103764/9699267. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 103765/9699321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 103766/9699339. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 103767/9699411. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 103768/9699438. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(a (a a)))) REDUCED to normal form. ------ 103769/9699465. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 103770/9699492. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 103771/9699519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a b))) REDUCED to normal form. ------ 103772/9699546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)((^z.z)(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. ------ 103773/9699564. ------ 1. ==[ start ]==> (((^a.b) c)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 103774/9699573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 103775/9699600. ------ 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. ------ 103776/9699663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 103777/9699798. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.b))) 3. ==[ beta ]==> (b ((a (a a))(^z.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 103778/9699807. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(a b))) 3. ==[ beta ]==> (((a b) c)((a b)(a b))) REDUCED to normal form. ------ 103779/9699834. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 103780/9699861. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 103781/9699906. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 103782/9699942. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 103783/9699996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103784/9700050. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 103785/9700077. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.b)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.b))) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 103786/9700104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 103787/9700140. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 103788/9700167. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (b a))) REDUCED to normal form. ------ 103789/9700194. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 103790/9700221. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 103791/9700248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z) a))) 7. ==[ beta ]==> ((^y.y)((a b)((^z.z) a))) 8. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 9. ==[ beta ]==> ((a b)((^y.y) a)) 10. ==[ alpha ]==> ((a b)((^x.x) a)) 11. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 103792/9700275. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 103793/9700302. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b) a)((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b) a)(^y.y)) 10. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 103794/9700329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 103795/9700356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (a b))) REDUCED to normal form. ------ 103796/9700383. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))((a (^x.x))(a a))) REDUCED to normal form. ------ 103797/9700473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 103798/9700554. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 103799/9700617. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 103800/9700662. ------ 1. ==[ start ]==> (((^a.a)(b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 103801/9700689. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 103802/9700725. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 103803/9700743. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b) c)) 3. ==[ beta ]==> (((a b)(a b))((a b) c)) REDUCED to normal form. ------ 103804/9700752. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 103805/9700806. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 103806/9700833. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 103807/9700860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 103808/9700887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(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. ------ 103809/9700950. ------ 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. ------ 103810/9700977. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 103811/9701004. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))(((a a) a) a)) REDUCED to normal form. ------ 103812/9701031. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a b))(a (a a))) REDUCED to normal form. ------ 103813/9701058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a (a a))(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a (a a))(^x.x))) REDUCED to normal form. ------ 103814/9701085. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 103815/9701112. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 103816/9701139. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 103817/9701211. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103818/9701229. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103819/9701310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a a)(a (^y.a))) 8. ==[ alpha ]==> ((a a)(a (^x.a))) REDUCED to normal form. ------ 103820/9701391. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 103821/9701508. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 103822/9701535. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 103823/9701607. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) a)) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a)) a)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) a)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 103824/9701751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.a))) REDUCED to normal form. ------ 103825/9701805. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.(a a)))) REDUCED to normal form. ------ 103826/9701823. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 103827/9702102. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103828/9702138. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)(c (^y.y))) 6. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 103829/9702417. ------ 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.z1)(^x2.x2))(^y2.(^z2.z2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103830/9702426. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 103831/9702453. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((b a)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b a)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b a)(a ((^x.x) a))) 9. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 103832/9702471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 7. ==[ beta ]==> (b (a (^y.(y y)))) 8. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 103833/9702480. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 103834/9702498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 103835/9702507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^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. ------ 103836/9702552. ------ 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. ------ 103837/9702588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(^a.(^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. ------ 103838/9702615. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 103839/9702642. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 103840/9702669. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 103841/9702741. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103842/9702813. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 103843/9702840. ------ 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)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 103844/9702948. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c d)) REDUCED to normal form. ------ 103845/9703110. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (a (a a)))) 3. ==[ beta ]==> ((b (a a))(b (a (a a)))) REDUCED to normal form. ------ 103846/9703137. ------ 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. ------ 103847/9703173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 103848/9703308. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 103849/9703416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103850/9703452. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 103851/9703479. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^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. ------ 103852/9703497. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 103853/9703524. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 103854/9703533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 103855/9703560. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 103856/9703641. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 103857/9703659. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 103858/9703668. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 103859/9703722. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 103860/9703767. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103861/9703776. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.x1))) REDUCED to normal form. ------ 103862/9703803. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 103863/9703830. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 103864/9703866. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b b)) REDUCED to normal form. ------ 103865/9703893. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a c)) 3. ==[ beta ]==> (((a (^x.x)) b)(a c)) REDUCED to normal form. ------ 103866/9703920. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 103867/9703947. ------ 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. ------ 103868/9703974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 103869/9704001. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b a)) 3. ==[ beta ]==> ((((a a) a)(a a))(b a)) REDUCED to normal form. ------ 103870/9704028. ------ 1. ==[ start ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 103871/9704055. ------ 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. ------ 103872/9704082. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 103873/9704688. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((^y.((a a)(a a)))((^y.((a a)(a a)))(^y.((a a)(a a))))) 4. ==[ alpha ]==> ((^x.((a a)(a a)))((^y.((a a)(a a)))(^z.((a a)(a a))))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 103874/9705039. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103875/9707253. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2)))))(^z2.z2)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^z2.z2)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103876/9708558. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 103877/9710763. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^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. ------ 103878/9711711. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a))) b) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z))) b) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z)) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 103879/9711735. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103880/9711816. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 103881/9712050. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ eta ]==> ((^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. ------ 103882/9712320. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(a a)))(((^y.y)((a a)(a a)))((^y.y)((a a)(a a))))) 4. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)((a a)(a a)))((^z.z)((a a)(a a))))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)((a a)(a a)))((^z.z)((a a)(a a))))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)((a a)(a a)))((^y.y)((a a)(a a))))) 7. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((^y.y)((a a)(a a))))) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))((^x.x)((a a)(a a))))) 9. ==[ beta ]==> (((a a)(a a))(((a a)(a a))((a a)(a a)))) REDUCED to normal form. ------ 103883/9712323. ------ 1. ==[ start ]==> ((a (a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.((a a)(a a)))) REDUCED to normal form. ------ 103884/9712674. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 103885/9712683. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103886/9713979. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(^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. ------ 103887/9714210. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))((^x1.x1)(a a)))((^z.(z z))((^x1.x1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a))))) 5. ==[ beta ]==> (((^y.(y y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 11. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 12. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 13. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 14. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 15. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 16. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 17. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 103888/9714600. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 103889/9714885. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^z.(^x1.(^y1.y1))))(a (^z.(^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1)))))(^x2.x2)) REDUCED to normal form. ------ 103890/9714888. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 103891/9715641. ------ 1. ==[ start ]==> ((^a.(b a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.(a a)))) 3. ==[ eta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 103892/9716190. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 103893/9716193. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 103894/9716478. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^x1.b)(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 103895/9716868. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(y y)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(x x)))) 9. ==[ beta ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 103896/9717264. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((a b)((^x.x)(^y.y))) a) 4. ==[ beta ]==> (((a b)(^y.y)) a) 5. ==[ alpha ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 103897/9717396. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103898/9718128. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.y))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 103899/9718263. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.((^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. ------ 103900/9718395. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((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)))((^y.y)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1))))(((^x2.x2)(^y2.(^z2.z2)))((^x3.x3)(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1))))(((^x2.x2)(^y2.(^z2.z2)))((^x3.x3)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.(^y1.y1))))(((^z1.z1)(^x2.(^y2.y2)))((^z2.z2)(^x3.(^y3.y3))))) 7. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.(^y2.y2)))((^z2.z2)(^x3.(^y3.y3))))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2))))) 9. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 10. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103901/9718398. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 103902/9718758. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 103903/9718839. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.((^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. ------ 103904/9718929. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 103905/9719028. ------ 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) y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^z1.z1)) 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. ------ 103906/9719091. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.c)) REDUCED to normal form. ------ 103907/9719154. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 103908/9719208. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 103909/9719262. ------ 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. ------ 103910/9719289. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a a))) REDUCED to normal form. ------ 103911/9719316. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 103912/9719343. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 103913/9719373. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 103914/9719400. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 103915/9719427. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(a b))) 3. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 103916/9719454. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 103917/9719508. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103918/9719535. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 103919/9719562. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 103920/9719589. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 103921/9719652. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 103922/9719661. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 103923/9719688. ------ 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 a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 103924/9719733. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 103925/9719787. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.b))) REDUCED to normal form. ------ 103926/9719814. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) REDUCED to normal form. ------ 103927/9719877. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(b a))) 5. ==[ beta ]==> (((a a) a)((b a)(b a))) REDUCED to normal form. ------ 103928/9719904. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 103929/9719931. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a 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. ------ 103930/9719958. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(a a))) REDUCED to normal form. ------ 103931/9720030. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z))) c)) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 103932/9720201. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 103933/9720255. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 103934/9720282. ------ 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. ------ 103935/9720318. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103936/9720345. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 103937/9720399. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((b a)((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((b 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. ------ 103938/9720453. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 103939/9720480. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 103940/9720534. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a a))) 9. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 103941/9720633. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.y))) REDUCED to normal form. ------ 103942/9720687. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b)(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. ------ 103943/9720714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a 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. ------ 103944/9720867. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (b (^y.(a a))) 10. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 103945/9720948. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) REDUCED to normal form. ------ 103946/9720975. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 103947/9721002. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(b a)) REDUCED to normal form. ------ 103948/9721029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103949/9721056. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a) c)) REDUCED to normal form. ------ 103950/9721119. ------ 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.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 103951/9721146. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 103952/9721200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 103953/9721263. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (b a))) 3. ==[ beta ]==> ((^y.b)(c (b a))) 4. ==[ alpha ]==> ((^x.b)(c (b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 103954/9721344. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(a a))) IRREDUCIBLE: cycle. ------ 103955/9721407. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y)) d)) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 103956/9721425. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(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. ------ 103957/9721452. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a b)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a b)((a b)(^y.y))) 6. ==[ alpha ]==> ((a b)((a b)(^x.x))) REDUCED to normal form. ------ 103958/9721479. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 103959/9721533. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 103960/9721614. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 103961/9721659. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 103962/9721740. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 103963/9721767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 103964/9721812. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 103965/9721821. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 103966/9721848. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 103967/9722235. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 103968/9722244. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 103969/9722469. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 103970/9722523. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 103971/9722703. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.b))) REDUCED to normal form. ------ 103972/9722730. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(a a)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 103973/9722811. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a) a)) REDUCED to normal form. ------ 103974/9722838. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 103975/9723279. ------ 1. ==[ start ]==> ((a (b a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(c (^x.(a a)))) REDUCED to normal form. ------ 103976/9723513. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.b))) REDUCED to normal form. ------ 103977/9723621. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) b)) REDUCED to normal form. ------ 103978/9723648. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b) c)) REDUCED to normal form. ------ 103979/9723828. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 103980/9724008. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.b))) REDUCED to normal form. ------ 103981/9724035. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 103982/9724107. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103983/9724116. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 103984/9724449. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 103985/9724503. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 103986/9724512. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 103987/9724539. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b) b)) 5. ==[ beta ]==> ((^y.b)((^z.b) b)) 6. ==[ alpha ]==> ((^x.b)((^y.b) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 103988/9724584. ------ 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)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 103989/9724692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 103990/9724737. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 103991/9724764. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 103992/9724791. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 103993/9724818. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 103994/9724845. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 103995/9724872. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 103996/9724899. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 103997/9724926. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 103998/9725007. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 103999/9725034. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 104000/9725043. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 104001/9725070. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(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. ------ 104002/9725205. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 104003/9725322. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.x1))) REDUCED to normal form. ------ 104004/9725349. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))(^y.a))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.a))) REDUCED to normal form. ------ 104005/9725376. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 104006/9725403. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 104007/9725484. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104008/9725511. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a)) c)) REDUCED to normal form. ------ 104009/9725538. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a) d)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a) d)) 3. ==[ beta ]==> (((a b)(^x.a))(a d)) REDUCED to normal form. ------ 104010/9725637. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(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. ------ 104011/9725646. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1)) b)) 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. ------ 104012/9725673. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z)) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z)) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y)) c)) 5. ==[ beta ]==> ((b (^x.x))(c c)) REDUCED to normal form. ------ 104013/9725709. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.(y y)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(x x)))) REDUCED to normal form. ------ 104014/9725736. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 104015/9725763. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.a))) 3. ==[ beta ]==> ((a (b a))(a (^y.a))) 4. ==[ alpha ]==> ((a (b a))(a (^x.a))) REDUCED to normal form. ------ 104016/9725790. ------ 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))(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. ------ 104017/9725817. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.y)))) 9. ==[ beta ]==> ((a a)((a (^y.y))(a (^y.y)))) 10. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 104018/9725844. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 104019/9725871. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 104020/9725898. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104021/9725925. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^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)))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 104022/9725979. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 104023/9726006. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 104024/9726033. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^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. ------ 104025/9726069. ------ 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. ------ 104026/9726348. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y)) c)) 3. ==[ beta ]==> ((b b)((a (^y.y)) c)) 4. ==[ alpha ]==> ((b b)((a (^x.x)) c)) REDUCED to normal form. ------ 104027/9726393. ------ 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. ------ 104028/9726420. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((^y.y) a)(a a)) 6. ==[ alpha ]==> (((^x.x) a)(a a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 104029/9726429. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 104030/9726474. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((b a)(b a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((b a)(b a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((b a)(b a))((a a) a)) REDUCED to normal form. ------ 104031/9726537. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 104032/9726555. ------ 1. ==[ start ]==> (((^a.b)(a b))(b c)) 2. ==[ alpha ]==> (((^x.b)(a b))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 104033/9726564. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 104034/9726618. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 104035/9726663. ------ 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. ------ 104036/9726672. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 104037/9726699. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104038/9726762. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 104039/9726789. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 104040/9726816. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 104041/9726843. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 104042/9726870. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 104043/9726897. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 104044/9726924. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(a a))) 3. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 104045/9726951. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 104046/9726978. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 104047/9729276. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104048/9731463. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 104049/9732354. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104050/9734964. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ eta ]==> ((^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. ------ 104051/9735135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 104052/9735246. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.((a a)(a a)))) 5. ==[ beta ]==> ((^y.((a a)(a a)))(^y.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.((a a)(a a)))(^y.((a a)(a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104053/9735459. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104054/9735597. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104055/9736017. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(^y.a))) 3. ==[ beta ]==> ((((b a)(^y.a))((b a)(^y.a)))((b a)(^y.a))) 4. ==[ alpha ]==> ((((b a)(^x.a))((b a)(^y.a)))((b a)(^z.a))) REDUCED to normal form. ------ 104056/9736272. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))((^y.y) a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.z)) 5. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.z)) 6. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.z)) 7. ==[ beta ]==> ((a ((^y.y) a))(^z.z)) 8. ==[ alpha ]==> ((a ((^x.x) a))(^y.y)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104057/9736902. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 104058/9736917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.z))) 3. ==[ beta ]==> (^y.((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 104059/9736920. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 104060/9737124. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))(^z.(a a)))((a (a a))(^z.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))(^y.(a a)))((a (a a))(^z.(a a))))) 5. ==[ beta ]==> (((a (a a))(^y.(a a)))((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 104061/9737217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 104062/9737514. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 104063/9737523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 104064/9738081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 104065/9738864. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 104066/9739107. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 104067/9739392. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 104068/9739566. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 104069/9739782. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 104070/9739791. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 104071/9739995. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104072/9739998. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 104073/9740178. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 104074/9740727. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 104075/9741672. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^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. ------ 104076/9741942. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104077/9741951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 104078/9742068. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^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. ------ 104079/9742122. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.b)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.b)) REDUCED to normal form. ------ 104080/9742176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.y)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 104081/9742203. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 104082/9742257. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 104083/9742305. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (a (((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (a (((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 104084/9742332. ------ 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. ------ 104085/9742359. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 104086/9742386. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 104087/9742413. ------ 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)(^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. ------ 104088/9742440. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(b a))) REDUCED to normal form. ------ 104089/9742467. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a (^z.(^x1.x1))))) 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. ------ 104090/9742494. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 104091/9742512. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 104092/9742521. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((a a)(a a)))) REDUCED to normal form. ------ 104093/9742557. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 104094/9742584. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 104095/9742611. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 104096/9742620. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 104097/9742701. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((a a) a))) 5. ==[ beta ]==> (a ((^y.(a a))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((a a) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 104098/9742728. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.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. ------ 104099/9742782. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 104100/9742827. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 104101/9742854. ------ 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))) REDUCED to normal form. ------ 104102/9742890. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (((^y.y)((a a)(a a)))((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 104103/9742917. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104104/9742971. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104105/9743079. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 104106/9743106. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 104107/9743196. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (a (^y.(^z.z))))) 3. ==[ beta ]==> ((b b)(c (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((b b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 104108/9743241. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104109/9743331. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a)) b)((b a) a)) REDUCED to normal form. ------ 104110/9743358. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 104111/9743385. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((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. ------ 104112/9743412. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)((a a) a))) REDUCED to normal form. ------ 104113/9743439. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(a b))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(a b))) REDUCED to normal form. ------ 104114/9743466. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 104115/9743493. ------ 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. ------ 104116/9743610. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 104117/9743637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 104118/9743664. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.a))) REDUCED to normal form. ------ 104119/9743700. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104120/9743754. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)((a a) a))) 5. ==[ beta ]==> (a ((^z.b)((a a) a))) 6. ==[ alpha ]==> (a ((^x.b)((a a) a))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 104121/9743835. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 104122/9743862. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 104123/9743916. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z) b))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y) b))) 9. ==[ beta ]==> ((a a)((^y.y) b)) 10. ==[ alpha ]==> ((a a)((^x.x) b)) 11. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 104124/9744330. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 104125/9744357. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) a)((a a)(a (a a)))) REDUCED to normal form. ------ 104126/9744384. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 104127/9744438. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a b))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 104128/9744465. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a (a a))(a a))) REDUCED to normal form. ------ 104129/9744492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104130/9744519. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 104131/9744537. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 104132/9744546. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 104133/9744564. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 104134/9744582. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 104135/9744609. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 104136/9744636. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 104137/9744663. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 104138/9744690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 104139/9744744. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b)(a a))(^y.b)) 6. ==[ alpha ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 104140/9744771. ------ 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)))) 3. ==[ beta ]==> ((a (a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 104141/9744780. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104142/9744807. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104143/9744861. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 104144/9744942. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104145/9744996. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 104146/9745023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104147/9745077. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 11. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 12. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 13. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 14. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 15. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104148/9745140. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (b a))) REDUCED to normal form. ------ 104149/9745158. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104150/9745167. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 104151/9745194. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 104152/9745383. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 104153/9745617. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104154/9745698. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104155/9745725. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104156/9745860. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104157/9746067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a)) c)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) c)) 7. ==[ beta ]==> ((^y.y)((^z.(a a)) c)) 8. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 9. ==[ beta ]==> ((^y.(a a)) c) 10. ==[ alpha ]==> ((^x.(a a)) c) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104158/9746292. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104159/9746373. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (b ((^z.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104160/9746481. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 104161/9746508. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104162/9746562. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 104163/9746643. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^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. ------ 104164/9746769. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 104165/9746796. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 104166/9746823. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b) c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b) c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b) c)) 5. ==[ beta ]==> ((a (a a))((^y.b) c)) 6. ==[ alpha ]==> ((a (a a))((^x.b) c)) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 104167/9746850. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a) d)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a) d)) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 104168/9747039. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 104169/9747048. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104170/9747129. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a a)(^y.y)) 14. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104171/9747210. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 104172/9747318. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104173/9747345. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104174/9747372. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104175/9747426. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(a a)))) 9. ==[ beta ]==> (((a a)(a a))(^y.(a a))) 10. ==[ alpha ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 104176/9747435. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 104177/9747462. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a a))) 5. ==[ beta ]==> ((^y.b)((a b)(a a))) 6. ==[ alpha ]==> ((^x.b)((a b)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104178/9747516. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 104179/9747543. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 104180/9747570. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.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))(^y.a))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 104181/9747615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104182/9747624. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a b))) REDUCED to normal form. ------ 104183/9747642. ------ 1. ==[ start ]==> ((a (^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 104184/9747660. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(^z.z))) REDUCED to normal form. ------ 104185/9747687. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 104186/9747714. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.a)) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 104187/9747741. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 104188/9747768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 104189/9747822. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 104190/9747849. ------ 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. ------ 104191/9747876. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a) b)) REDUCED to normal form. ------ 104192/9747966. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104193/9748128. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.(z z)))) 3. ==[ beta ]==> (b (d (^z.(z z)))) 4. ==[ alpha ]==> (b (d (^x.(x x)))) REDUCED to normal form. ------ 104194/9748290. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 7. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 8. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> (b (a ((^y.y) a))) 10. ==[ alpha ]==> (b (a ((^x.x) a))) 11. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 104195/9748317. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104196/9748371. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a) a)) REDUCED to normal form. ------ 104197/9748452. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104198/9748461. ------ 1. ==[ start ]==> (((a b)(^c.a))(d ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(d ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))(d a)) REDUCED to normal form. ------ 104199/9748488. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a (a a)))) REDUCED to normal form. ------ 104200/9748515. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.z))) REDUCED to normal form. ------ 104201/9748569. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 104202/9748596. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 104203/9748713. ------ 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. ------ 104204/9748740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 104205/9748767. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.a))) REDUCED to normal form. ------ 104206/9748794. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 104207/9748821. ------ 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)))((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)(^y.y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 104208/9748848. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 104209/9749127. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a a))) 3. ==[ beta ]==> (b ((^z.(z z))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 104210/9749235. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104211/9749271. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (a (^y.y)))) 3. ==[ beta ]==> ((b b)(c (a (^y.y)))) 4. ==[ alpha ]==> ((b b)(c (a (^x.x)))) REDUCED to normal form. ------ 104212/9749298. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b ((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(b a)) REDUCED to normal form. ------ 104213/9749316. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 104214/9749352. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 104215/9749379. ------ 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))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 104216/9749397. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.a))) REDUCED to normal form. ------ 104217/9749460. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c b)) REDUCED to normal form. ------ 104218/9749478. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 104219/9749487. ------ 1. ==[ start ]==> (((a b)(^a.b))(b c)) 2. ==[ alpha ]==> (((a b)(^x.b))(b c)) REDUCED to normal form. ------ 104220/9749541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (a a))) REDUCED to normal form. ------ 104221/9749586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104222/9749595. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 104223/9749622. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 104224/9749649. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 104225/9749685. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 104226/9749712. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a 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. ------ 104227/9749739. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 104228/9749766. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a) b)) REDUCED to normal form. ------ 104229/9749793. ------ 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.y1)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 104230/9749820. ------ 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. ------ 104231/9749847. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 104232/9749874. ------ 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. ------ 104233/9749901. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 104234/9749927. ------ 1. ==[ start ]==> (^a.((b a)(a (a a)))) 2. ==[ alpha ]==> (^x.((b x)(x (x x)))) REDUCED to normal form. ------ 104235/9749928. ------ 1. ==[ start ]==> (a ((b a)(a (a a)))) REDUCED to normal form. ------ 104236/9757581. ------ 1. ==[ start ]==> ((^a.a)((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 3. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 104237/9757608. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 104238/9757635. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 104239/9757716. ------ 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 ]==> ((((^z.z)(^x1.x1))((a a)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.z)) 7. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104240/9758526. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(b ((^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. ------ 104241/9759222. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 104242/9759291. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((b a) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 104243/9760158. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 104244/9760464. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 104245/9760740. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> ((((a a)(b a))((a a)(b a)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(b a))((a a)(b a)))(^x.x)) REDUCED to normal form. ------ 104246/9761031. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z a))) REDUCED to normal form. ------ 104247/9761310. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(b y))) 3. ==[ eta ]==> ((((^x.x) a)(a b)) b) 4. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 104248/9761496. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(a b))) 3. ==[ eta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 104249/9762066. ------ 1. ==[ start ]==> (((a a)(b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 104250/9762507. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 104251/9762732. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 104252/9763983. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.((^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. ------ 104253/9764250. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (a (a a)))) 3. ==[ beta ]==> (((b (a (a a)))(b (a (a a))))((b (a (a a)))(b (a (a a))))) REDUCED to normal form. ------ 104254/9764892. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.a))) REDUCED to normal form. ------ 104255/9765090. ------ 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)))) REDUCED to normal form. ------ 104256/9765171. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.b)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.b)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.b)) REDUCED to normal form. ------ 104257/9765198. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 104258/9765237. ------ 1. ==[ start ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 104259/9765264. ------ 1. ==[ start ]==> ((a (a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y)(^z.z)))) 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. ------ 104260/9765291. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 104261/9765345. ------ 1. ==[ start ]==> (((a a)(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 104262/9765372. ------ 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. ------ 104263/9765471. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(a a)))) REDUCED to normal form. ------ 104264/9765525. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104265/9765570. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^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 REDUCED to normal form. ------ 104266/9765597. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.(y1 y1)))) 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. ------ 104267/9765660. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 104268/9765678. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.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. ------ 104269/9765687. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 104270/9765822. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 104271/9765867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 104272/9765903. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 104273/9765930. ------ 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. ------ 104274/9765984. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))(^b.(^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. ------ 104275/9766011. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 104276/9766038. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 104277/9766146. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 104278/9766182. ------ 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 (^y.y))(b ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 104279/9766479. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(a (b a))) REDUCED to normal form. ------ 104280/9766506. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 104281/9766533. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) b))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) b))) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 104282/9766650. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(z1 z1)))) 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. ------ 104283/9766704. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)(^z.a))) 5. ==[ beta ]==> (a ((a b)(^z.a))) 6. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 104284/9766740. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a b))) 5. ==[ beta ]==> (b ((^y.a)(a b))) 6. ==[ alpha ]==> (b ((^x.a)(a b))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104285/9766767. ------ 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. ------ 104286/9766821. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 104287/9766848. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 104288/9766866. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)(^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)(^y.y))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 104289/9766875. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 104290/9766902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 104291/9766929. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 104292/9766947. ------ 1. ==[ start ]==> ((a (^a.b))((b a) c)) 2. ==[ alpha ]==> ((a (^x.b))((b a) c)) REDUCED to normal form. ------ 104293/9767118. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104294/9767217. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) a)) IRREDUCIBLE: cycle. ------ 104295/9767298. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104296/9767496. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 104297/9767685. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104298/9767730. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104299/9767757. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)(^c.(^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. ------ 104300/9767811. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104301/9767892. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 104302/9767901. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 104303/9767928. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 104304/9767955. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 104305/9767982. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 104306/9768036. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 104307/9768063. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 9. ==[ beta ]==> (a ((^x1.a)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (a ((^x.a)(^y.(^z.z)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104308/9768117. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 104309/9768180. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 104310/9768207. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x))(a b))((a a) a)) REDUCED to normal form. ------ 104311/9768234. ------ 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. ------ 104312/9768261. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 104313/9768288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> ((a (a a))((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((a a) a))) 9. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 104314/9768315. ------ 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. ------ 104315/9768333. ------ 1. ==[ start ]==> (((^a.b) c)(d (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.(a a)))) 3. ==[ beta ]==> (b (d (^y.(a a)))) 4. ==[ alpha ]==> (b (d (^x.(a a)))) REDUCED to normal form. ------ 104316/9768342. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a (a a))) REDUCED to normal form. ------ 104317/9768369. ------ 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. ------ 104318/9768396. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(b a))) REDUCED to normal form. ------ 104319/9768432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 104320/9768567. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 104321/9768576. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 104322/9768603. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a a) b)((a b)(a b))) REDUCED to normal form. ------ 104323/9768630. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 104324/9768684. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(b a)) REDUCED to normal form. ------ 104325/9768729. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 104326/9768765. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104327/9768792. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 104328/9768819. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 104329/9768846. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104330/9768873. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 104331/9768936. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 104332/9768963. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (b a))) 3. ==[ beta ]==> ((a (a b))(a (b a))) REDUCED to normal form. ------ 104333/9768990. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 104334/9769017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 9. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 10. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 104335/9769044. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a b) a)) REDUCED to normal form. ------ 104336/9769071. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 104337/9769098. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 10. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 104338/9769125. ------ 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. ------ 104339/9769152. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(a b))) 3. ==[ beta ]==> ((a (b a))(a (a b))) REDUCED to normal form. ------ 104340/9769242. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b (((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 104341/9769323. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 104342/9769386. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 104343/9769431. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 104344/9769494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 104345/9769512. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a)) b)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a)) b)) 5. ==[ beta ]==> (((a b)(a b))((a a) b)) REDUCED to normal form. ------ 104346/9769521. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 104347/9769575. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 104348/9769602. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 104349/9769629. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 104350/9769656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 104351/9769719. ------ 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. ------ 104352/9769746. ------ 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. ------ 104353/9769773. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 104354/9769800. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))(((a a) a) a)) REDUCED to normal form. ------ 104355/9769827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 9. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 104356/9769854. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 104357/9769881. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 104358/9769908. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 104359/9769935. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 104360/9769980. ------ 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. ------ 104361/9769998. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104362/9770079. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 104363/9770160. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 104364/9770277. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 104365/9770304. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 104366/9770385. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 104367/9770457. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (b ((^x1.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104368/9770574. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.b))) REDUCED to normal form. ------ 104369/9770871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104370/9771078. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z)) d)) 3. ==[ beta ]==> (b ((^z.(z z)) d)) 4. ==[ alpha ]==> (b ((^x.(x x)) d)) 5. ==[ beta ]==> (b (d d)) REDUCED to normal form. ------ 104371/9771186. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104372/9771195. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 104373/9771222. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 104374/9771240. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.a))) 5. ==[ beta ]==> (b ((a (a a))(^y.a))) 6. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 104375/9771249. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 104376/9771267. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 104377/9771276. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 104378/9771357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104379/9771384. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 104380/9771402. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 104381/9771411. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 104382/9771438. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 104383/9771465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 104384/9771582. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 104385/9771609. ------ 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))(a (a a)))) REDUCED to normal form. ------ 104386/9771636. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (b a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (b a))((a a)(^x.x))) REDUCED to normal form. ------ 104387/9771744. ------ 1. ==[ start ]==> (((a b)((a a) a))(c d)) REDUCED to normal form. ------ 104388/9771879. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c ((^y.y) a))) 3. ==[ beta ]==> ((b (a a))(c ((^y.y) a))) 4. ==[ alpha ]==> ((b (a a))(c ((^x.x) a))) 5. ==[ beta ]==> ((b (a a))(c a)) REDUCED to normal form. ------ 104389/9771906. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (a (a a)))) REDUCED to normal form. ------ 104390/9771942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104391/9772077. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 104392/9772185. ------ 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. ------ 104393/9772221. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 104394/9772248. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 104395/9772293. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) a)) 5. ==[ beta ]==> ((^y.(y y)) a) 6. ==[ alpha ]==> ((^x.(x x)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104396/9772347. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y)) c)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 104397/9772410. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 104398/9772428. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 104399/9772437. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 104400/9772491. ------ 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))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 104401/9772545. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 104402/9772572. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 104403/9772599. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 104404/9772662. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b b)) 3. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 104405/9772716. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (a a))) REDUCED to normal form. ------ 104406/9772743. ------ 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. ------ 104407/9772770. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 104408/9772797. ------ 1. ==[ start ]==> (((a b)(a b))(b a)) REDUCED to normal form. ------ 104409/9772824. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a b)) 3. ==[ beta ]==> (((a a)((a a) a))(a b)) REDUCED to normal form. ------ 104410/9772851. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 104411/9773142. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.((a a)(a a)))) 4. ==[ alpha ]==> (^x.(^y.((a a)(a a)))) REDUCED to normal form. ------ 104412/9775167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((^z.(a (^x1.(^y1.y1))))(^z.(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((^y.(a (^z.(^x1.x1))))(^y1.(a (^z1.(^x2.x2)))))) 5. ==[ beta ]==> (^x.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 104413/9778245. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104414/9780558. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104415/9780639. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104416/9780801. ------ 1. ==[ start ]==> ((^a.(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.((a a)((a a)(a a)))) 4. ==[ alpha ]==> (^x.((a a)((a a)(a a)))) REDUCED to normal form. ------ 104417/9780804. ------ 1. ==[ start ]==> ((a (^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 104418/9780873. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(a (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 104419/9781143. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))(((^y.(^z.z))((^x1.x1) b))((^y.(^z.z))((^x1.x1) b)))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.(^y1.y1))((^z1.z1) b))((^x2.(^y2.y2))((^z2.z2) b)))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((^z1.z1) b))((^x2.(^y2.y2))((^z2.z2) b)))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b)))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104420/9781494. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104421/9781533. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 104422/9781926. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^y.(^z.(^x1.x1)))(a (^y1.y1))))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2))))((^z2.(^x3.(^y3.y3)))(a (^z3.z3)))) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(a (^y2.y2))))((^z2.(^x3.(^y3.y3)))(a (^z3.z3)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1))))((^x2.(^y2.(^z2.z2)))(a (^x3.x3)))) 7. ==[ beta ]==> ((^y.y)((^x2.(^y2.(^z2.z2)))(a (^x3.x3)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104423/9782190. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 104424/9782439. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z))) b) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z))) b) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1))) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 104425/9782532. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1) b))) IRREDUCIBLE: cycle. ------ 104426/9782826. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.(((a a)(a (^z.(^x1.x1))))((a a)(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (^x.(((a a)(a (^y.(^z.z))))((a a)(a (^x1.(^y1.y1)))))) REDUCED to normal form. ------ 104427/9782829. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 104428/9782847. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 104429/9783033. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b)))) 5. ==[ beta ]==> (((^y.(^z.z))(a b))((^x1.(^y1.y1))(a b))) 6. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 9. ==[ beta ]==> ((^y.(^z.z))(a b)) 10. ==[ alpha ]==> ((^x.(^y.y))(a b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104430/9783999. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.a))) REDUCED to normal form. ------ 104431/9785013. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 104432/9785034. ------ 1. ==[ start ]==> (((a a)(b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104433/9785301. ------ 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 a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 104434/9785904. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104435/9785907. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(a b))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(a b))) REDUCED to normal form. ------ 104436/9785925. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 104437/9786114. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (a a))) a) 4. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 104438/9786219. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 104439/9786825. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z) z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104440/9787113. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.((^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. ------ 104441/9787218. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))(((^y.(^z.z))(^x1.(x1 x1)))((^y.(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1))))(((^x2.(^y2.y2))(^z2.(z2 z2)))((^x3.(^y3.y3))(^z3.(z3 z3))))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1))))(((^x2.(^y2.y2))(^z2.(z2 z2)))((^x3.(^y3.y3))(^z3.(z3 z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(x1 x1))))(((^y1.(^z1.z1))(^x2.(x2 x2)))((^y2.(^z2.z2))(^x3.(x3 x3))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))(((^y1.(^z1.z1))(^x2.(x2 x2)))((^y2.(^z2.z2))(^x3.(x3 x3))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.(z1 z1)))((^x2.(^y2.y2))(^z2.(z2 z2))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104442/9787257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104443/9787608. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (y y)))) 5. ==[ beta ]==> (^y.(y (y y))) 6. ==[ alpha ]==> (^x.(x (x x))) REDUCED to normal form. ------ 104444/9787860. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 104445/9787950. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.x))) REDUCED to normal form. ------ 104446/9788004. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 104447/9788058. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^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)))) REDUCED to normal form. ------ 104448/9788112. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104449/9788139. ------ 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. ------ 104450/9788166. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 104451/9788223. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 104452/9788250. ------ 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. ------ 104453/9788277. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 104454/9788304. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 104455/9788358. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104456/9788385. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 104457/9788412. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 104458/9788439. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 104459/9788466. ------ 1. ==[ start ]==> ((a (^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 104460/9788502. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(a 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. ------ 104461/9788538. ------ 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 a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 104462/9788583. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(^y.(y y)))) REDUCED to normal form. ------ 104463/9788610. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 104464/9788637. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 104465/9788664. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.b))) REDUCED to normal form. ------ 104466/9788691. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 104467/9788727. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 104468/9788754. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a)(b a))) REDUCED to normal form. ------ 104469/9788781. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 104470/9788799. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 104471/9788808. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 104472/9788880. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b) b)) 3. ==[ beta ]==> ((a b)(((^y.y) b) b)) 4. ==[ alpha ]==> ((a b)(((^x.x) b) b)) 5. ==[ beta ]==> ((a b)(b b)) REDUCED to normal form. ------ 104473/9789078. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 104474/9789132. ------ 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. ------ 104475/9789159. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 104476/9789168. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104477/9789195. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 104478/9789249. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 104479/9789258. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 104480/9789303. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 104481/9789330. ------ 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)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104482/9789384. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 104483/9789510. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(b (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.y))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 104484/9789564. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b)(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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104485/9789591. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 104486/9789717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.b))) 5. ==[ beta ]==> (b (((a a) a)(^y.b))) 6. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 104487/9789744. ------ 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. ------ 104488/9789825. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 104489/9789852. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 104490/9789879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104491/9789906. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 104492/9789996. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 104493/9790023. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 104494/9790077. ------ 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. ------ 104495/9790104. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 104496/9790194. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((^z.z) b))) IRREDUCIBLE: cycle. ------ 104497/9790275. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 104498/9790284. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 104499/9790302. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a b)((a a)(a (a a)))) REDUCED to normal form. ------ 104500/9790329. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 104501/9790383. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a b))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a b))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 104502/9790464. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(b a))) 3. ==[ beta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 104503/9790491. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 104504/9790509. ------ 1. ==[ start ]==> (((a a)(a b))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.x))) REDUCED to normal form. ------ 104505/9790536. ------ 1. ==[ start ]==> (((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 a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 104506/9790617. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a (a a)))) 7. ==[ beta ]==> (a ((^y.(a a))(a (a a)))) 8. ==[ alpha ]==> (a ((^x.(a a))(a (a a)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 104507/9790644. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 104508/9790662. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 104509/9790671. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 104510/9790698. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 104511/9790878. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 104512/9791085. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 104513/9791121. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 104514/9791553. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a b) c)(^y.a)) 6. ==[ alpha ]==> (((a b) c)(^x.a)) REDUCED to normal form. ------ 104515/9791580. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.b))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.b))) REDUCED to normal form. ------ 104516/9791607. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 104517/9791688. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a) a)) 3. ==[ beta ]==> ((a (^y.b))((b a) a)) 4. ==[ alpha ]==> ((a (^x.b))((b a) a)) REDUCED to normal form. ------ 104518/9791742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a)) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104519/9791886. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 104520/9792363. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.a))) REDUCED to normal form. ------ 104521/9792471. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 104522/9792498. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a) b)) REDUCED to normal form. ------ 104523/9792678. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 104524/9792696. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 104525/9792912. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 104526/9792957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104527/9792966. ------ 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 a)) REDUCED to normal form. ------ 104528/9793353. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a b))) 7. ==[ beta ]==> (((a a)(a a))(b (a b))) REDUCED to normal form. ------ 104529/9793389. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.b)((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(a a)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104530/9793434. ------ 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)(a (^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 104531/9793443. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 104532/9793542. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104533/9793569. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(a b))) REDUCED to normal form. ------ 104534/9793587. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.(a a)))) REDUCED to normal form. ------ 104535/9793614. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 104536/9793668. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 104537/9793695. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(a (a a)))) 7. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 104538/9793722. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 104539/9793749. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 104540/9793776. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> (((a a)(a (a a)))(a b)) REDUCED to normal form. ------ 104541/9793803. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 104542/9793848. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104543/9793857. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 104544/9793884. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 104545/9794055. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 104546/9794172. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(^z.z))) REDUCED to normal form. ------ 104547/9794199. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 104548/9794226. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 104549/9794253. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 104550/9794334. ------ 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. ------ 104551/9794361. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 104552/9794388. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) c)) REDUCED to normal form. ------ 104553/9794487. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104554/9794523. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 104555/9794613. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 104556/9794667. ------ 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))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104557/9794694. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 104558/9794721. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 104559/9794748. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104560/9794775. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^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. ------ 104561/9794829. ------ 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 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 104562/9794856. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 104563/9794883. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 104564/9794919. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 104565/9795198. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a) b)) 3. ==[ beta ]==> ((b b)(((^y.y) a) b)) 4. ==[ alpha ]==> ((b b)(((^x.x) a) b)) 5. ==[ beta ]==> ((b b)(a b)) REDUCED to normal form. ------ 104566/9795243. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a a)(a a))(b a)) REDUCED to normal form. ------ 104567/9795270. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 104568/9795279. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 104569/9795306. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 104570/9795324. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 104571/9795387. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 104572/9795405. ------ 1. ==[ start ]==> (((^a.b)(a b))(c b)) 2. ==[ alpha ]==> (((^x.b)(a b))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 104573/9795414. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 104574/9795468. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 104575/9795513. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104576/9795522. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a) c)) REDUCED to normal form. ------ 104577/9795549. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) a)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 104578/9795576. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 104579/9795612. ------ 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. ------ 104580/9795639. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 104581/9795666. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 104582/9795693. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 104583/9795720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 104584/9795747. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.x))) REDUCED to normal form. ------ 104585/9795774. ------ 1. ==[ start ]==> (((a b)(a b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 104586/9795801. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 104587/9795828. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 104588/9803796. ------ 1. ==[ start ]==> ((^a.(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.(b (^z.(a a)))) 4. ==[ alpha ]==> (^x.(b (^y.(a a)))) REDUCED to normal form. ------ 104589/9803868. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 104590/9804138. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(^z.z))(((a (^y.y))(^z.z))((a (^y.y))(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a (^z.z))(^x1.x1))((a (^y1.y1))(^z1.z1)))) REDUCED to normal form. ------ 104591/9804177. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 104592/9804363. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104593/9804528. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 104594/9804921. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^y.(^z.z)))(^x1.(^y1.y1))))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2))))((a (^z2.(^x3.x3)))(^y3.(^z3.z3)))) REDUCED to normal form. ------ 104595/9805254. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 104596/9805527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.x1))) IRREDUCIBLE: cycle. ------ 104597/9805821. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((b (^z.(^x1.(^y1.y1))))(b (^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((b (^y.(^z.(^x1.x1))))(b (^y1.(^z1.(^x2.x2)))))) REDUCED to normal form. ------ 104598/9806028. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.b))(((^z.z)(^x1.x1))(^y1.b)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.b))(((^y1.y1)(^z1.z1))(^x2.b)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b))(((^y1.y1)(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 7. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 9. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.b))) 10. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 104599/9806454. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 104600/9806742. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 104601/9808008. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 104602/9808296. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((((^x1.x1)(a a))(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 104603/9808722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(y y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104604/9808899. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104605/9809496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104606/9809820. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104607/9809829. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((y1 y1) y1))) REDUCED to normal form. ------ 104608/9810252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^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. ------ 104609/9810387. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104610/9810495. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 104611/9810603. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^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. ------ 104612/9810612. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (z z)))) REDUCED to normal form. ------ 104613/9810882. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) b)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104614/9810945. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.c)) REDUCED to normal form. ------ 104615/9811107. ------ 1. ==[ start ]==> (((a b)(a b))(^b.b)) 2. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 104616/9811236. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(a (a a)))) 3. ==[ beta ]==> (a ((b a)(a (a a)))) REDUCED to normal form. ------ 104617/9811263. ------ 1. ==[ start ]==> (((a a) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y)(^z.z)))) 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. ------ 104618/9811290. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 104619/9811317. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(a b))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(a b))) 3. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 104620/9811344. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 104621/9811371. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.x))) REDUCED to normal form. ------ 104622/9811398. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(b a))) REDUCED to normal form. ------ 104623/9811425. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 104624/9811452. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 104625/9811470. ------ 1. ==[ start ]==> ((a (^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 104626/9811515. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 104627/9811542. ------ 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 a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 104628/9811551. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 104629/9811578. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2) 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. ------ 104630/9811659. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104631/9811785. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(^z.(^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))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 104632/9811812. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 104633/9811821. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104634/9811848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104635/9811902. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104636/9811929. ------ 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. ------ 104637/9812010. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 104638/9812037. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 104639/9812172. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104640/9812262. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 104641/9812289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) a)((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) a)((b a)((^y.y) a))) 5. ==[ beta ]==> (a ((b a)((^y.y) a))) 6. ==[ alpha ]==> (a ((b a)((^x.x) a))) 7. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 104642/9812316. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 104643/9812343. ------ 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)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 104644/9812370. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((a b)((a a) a))) REDUCED to normal form. ------ 104645/9812397. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 104646/9812424. ------ 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. ------ 104647/9812568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.z))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.y))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 104648/9812595. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 104649/9812685. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 104650/9812766. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 104651/9812793. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 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. ------ 104652/9812847. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104653/9812928. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 104654/9812946. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a) c)) REDUCED to normal form. ------ 104655/9813117. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 104656/9813198. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.x1))) IRREDUCIBLE: cycle. ------ 104657/9813261. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 104658/9813288. ------ 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)(^x.x)) a)) REDUCED to normal form. ------ 104659/9813315. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 104660/9813369. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 104661/9813396. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(a b)) REDUCED to normal form. ------ 104662/9813423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.a)((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 104663/9813450. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 104664/9813468. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 104665/9813477. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 104666/9813495. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 104667/9813540. ------ 1. ==[ start ]==> (((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.x1))) REDUCED to normal form. ------ 104668/9813567. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 104669/9813594. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 104670/9813621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(^z.(z z)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(y y)))) 9. ==[ beta ]==> (a ((a a)(^y.(y y)))) 10. ==[ alpha ]==> (a ((a a)(^x.(x x)))) REDUCED to normal form. ------ 104671/9813648. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 104672/9813675. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 104673/9813702. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a (a a))(^y.b)) 8. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 104674/9813711. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104675/9813738. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104676/9813792. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104677/9813927. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104678/9813954. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104679/9814008. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104680/9814071. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 104681/9814098. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 104682/9814125. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 104683/9814188. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 104684/9814314. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 104685/9814413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104686/9814548. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104687/9814629. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 104688/9814656. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((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. ------ 104689/9814791. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104690/9815025. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 104691/9815304. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104692/9815412. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a b))) 3. ==[ beta ]==> ((b a)((^y.a)(a b))) 4. ==[ alpha ]==> ((b a)((^x.a)(a b))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 104693/9815439. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104694/9815493. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 104695/9815574. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 104696/9815682. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 104697/9815754. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) b)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) b)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 104698/9815781. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b) c)) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 104699/9815970. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 104700/9815979. ------ 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. ------ 104701/9816060. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 104702/9816141. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104703/9816276. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104704/9816303. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104705/9816357. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 104706/9816366. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (a b))) REDUCED to normal form. ------ 104707/9816393. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.b)(a ((^y.y)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104708/9816447. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 104709/9816474. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 104710/9816501. ------ 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))(a (a a)))) REDUCED to normal form. ------ 104711/9816555. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))((a a) a))) REDUCED to normal form. ------ 104712/9816573. ------ 1. ==[ start ]==> ((a (^b.b))(b (^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.b))) REDUCED to normal form. ------ 104713/9816618. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(^y.y))) REDUCED to normal form. ------ 104714/9816645. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 104715/9816672. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.a)) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.a)) REDUCED to normal form. ------ 104716/9816699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(^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. ------ 104717/9816726. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 104718/9816753. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 104719/9816780. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.b))) REDUCED to normal form. ------ 104720/9816807. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b) a)) REDUCED to normal form. ------ 104721/9816897. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 104722/9816924. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.(^y2.y2)))) 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. ------ 104723/9817167. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104724/9817221. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104725/9817248. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104726/9817302. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.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. ------ 104727/9817383. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104728/9817500. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((a a) a))) REDUCED to normal form. ------ 104729/9817527. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 104730/9817563. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(y y)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(x x)) c)) 5. ==[ beta ]==> (((a a) b)(c c)) REDUCED to normal form. ------ 104731/9817671. ------ 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. ------ 104732/9817698. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 104733/9817725. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))(a (^y.a))) 4. ==[ alpha ]==> (((a b)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 104734/9817752. ------ 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)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 104735/9817779. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 104736/9817833. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a)) b)) REDUCED to normal form. ------ 104737/9817860. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a) c)) 3. ==[ beta ]==> ((b (a a))(((^y.y) a) c)) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a) c)) 5. ==[ beta ]==> ((b (a a))(a c)) REDUCED to normal form. ------ 104738/9817923. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104739/9818058. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 104740/9818166. ------ 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. ------ 104741/9818247. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 104742/9818274. ------ 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 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.(z z))) 6. ==[ alpha ]==> ((^x.x)(^y.(y y))) 7. ==[ beta ]==> (^y.(y y)) 8. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 104743/9818283. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 104744/9818310. ------ 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)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^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. ------ 104745/9818328. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 104746/9818409. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 104747/9818418. ------ 1. ==[ start ]==> (((a b)(^a.b))(c b)) 2. ==[ alpha ]==> (((a b)(^x.b))(c b)) REDUCED to normal form. ------ 104748/9818517. ------ 1. ==[ start ]==> (((^a.(^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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104749/9818526. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (a (^x1.x1)))) REDUCED to normal form. ------ 104750/9818553. ------ 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))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 104751/9818580. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 104752/9818643. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 104753/9818670. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 104754/9818697. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 104755/9818724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a) b)) 5. ==[ beta ]==> (((a a)(^y.y))((a a) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a a) b)) REDUCED to normal form. ------ 104756/9818751. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 104757/9818778. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.x) b)) 3. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 104758/9818805. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 104759/9818832. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 104760/9818885. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))((^x1.x1) x))) 3. ==[ beta ]==> (^x.((x (^y.(^z.z))) x)) REDUCED to normal form. ------ 104761/9818886. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 104762/9826560. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a)) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a)) a) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 104763/9826566. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 104764/9826593. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(a (a a)))) 3. ==[ beta ]==> (((b a)(a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 104765/9826620. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 104766/9826701. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((^z.z)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 104767/9827061. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 104768/9827199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 5. ==[ beta ]==> (^y.(^z.(a a))) 6. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 104769/9828234. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^z1.z1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104770/9828276. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 104771/9828864. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 104772/9829476. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 104773/9829725. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a (^z.z))((a a)(^x1.x1)))((a (^z.z))((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 104774/9830043. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y a))) REDUCED to normal form. ------ 104775/9830322. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(b x))) 3. ==[ eta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 104776/9830481. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))((a a) a))) 3. ==[ eta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 104777/9830826. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 104778/9831078. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 104779/9831744. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104780/9832527. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.b))) REDUCED to normal form. ------ 104781/9832689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.(a a))(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104782/9832851. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.a))) REDUCED to normal form. ------ 104783/9833517. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^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. ------ 104784/9833625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.d)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.d)) 3. ==[ beta ]==> ((^y.y)(^x1.d)) 4. ==[ alpha ]==> ((^x.x)(^y.d)) 5. ==[ beta ]==> (^y.d) 6. ==[ alpha ]==> (^x.d) REDUCED to normal form. ------ 104785/9833634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 104786/9833742. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 104787/9833823. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 104788/9833904. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 104789/9834048. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.c)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.c)) REDUCED to normal form. ------ 104790/9834102. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 104791/9834129. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a a))) REDUCED to normal form. ------ 104792/9834183. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.b)) REDUCED to normal form. ------ 104793/9834237. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.x1)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 104794/9834249. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 104795/9834276. ------ 1. ==[ start ]==> ((a (a a))((b a)(a (a a)))) REDUCED to normal form. ------ 104796/9834303. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a b)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 104797/9834357. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 104798/9834384. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 104799/9834519. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 104800/9834582. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 104801/9834609. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.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. ------ 104802/9834618. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 104803/9834663. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 104804/9834672. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 104805/9834699. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 104806/9834726. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 104807/9834744. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 104808/9834834. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 104809/9834852. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(^z.z))) 5. ==[ beta ]==> (((a (^y.y))(^z.z))((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 104810/9834879. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 104811/9834915. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 104812/9834933. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 7. ==[ beta ]==> (((^y.y) b) b) 8. ==[ alpha ]==> (((^x.x) b) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104813/9834942. ------ 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. ------ 104814/9834969. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 104815/9835050. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 104816/9835284. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) 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. ------ 104817/9835491. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 104818/9835518. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (b a))) REDUCED to normal form. ------ 104819/9835545. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 104820/9835572. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a) b)) REDUCED to normal form. ------ 104821/9835662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 104822/9835716. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 104823/9835752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)((a a) a))) 5. ==[ beta ]==> (b ((^y.b)((a a) a))) 6. ==[ alpha ]==> (b ((^x.b)((a a) a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104824/9835797. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 104825/9835833. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^y1.y1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((a a)(^y1.y1)))) REDUCED to normal form. ------ 104826/9835860. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(b a))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 104827/9835878. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 104828/9835887. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 104829/9835914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104830/9835941. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104831/9835959. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 104832/9836130. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104833/9836337. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a b)((^y.(^z.z)) d)) 4. ==[ alpha ]==> ((a b)((^x.(^y.y)) d)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 104834/9836508. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 104835/9836544. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 104836/9836697. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104837/9836742. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104838/9836769. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 104839/9836904. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 104840/9836967. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 104841/9836994. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 104842/9837048. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 104843/9837075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(a a)))) 7. ==[ beta ]==> (((^y.(y y))(^z.(a a)))((^y.(y y))(^z.(a a)))) 8. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 9. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 10. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 11. ==[ beta ]==> ((a a)((^z.(z z))(^x1.(a a)))) 12. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(a a)))) 13. ==[ beta ]==> ((a a)((^y.(a a))(^y.(a a)))) 14. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(a a)))) 15. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104844/9837102. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 104845/9837156. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 104846/9837192. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a a))) REDUCED to normal form. ------ 104847/9837219. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 104848/9837246. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x) a))) 7. ==[ beta ]==> ((a ((a a) a))((a a) a)) REDUCED to normal form. ------ 104849/9837273. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a (a a)))) REDUCED to normal form. ------ 104850/9837300. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(((a a) a)(^y.y))) 8. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 104851/9837327. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)((a a) a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a) a))) 7. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 104852/9837354. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 104853/9837381. ------ 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. ------ 104854/9837408. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 104855/9837579. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 104856/9837588. ------ 1. ==[ start ]==> (((a b) c)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 104857/9837615. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 104858/9837642. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 104859/9837660. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 104860/9837696. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 104861/9837723. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 104862/9837741. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a) a)) REDUCED to normal form. ------ 104863/9837777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104864/9837804. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 104865/9837831. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 104866/9837885. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 104867/9837975. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a b))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 104868/9838002. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (b a))) REDUCED to normal form. ------ 104869/9838029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a a))) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a a))) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 9. ==[ beta ]==> (((a a)(^y.y))(a a)) 10. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 104870/9838056. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 104871/9838083. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b) a)((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a b) a)((a b)((^x.x) a))) 5. ==[ beta ]==> (((a b) a)((a b) a)) REDUCED to normal form. ------ 104872/9838110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 104873/9838137. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^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. ------ 104874/9838164. ------ 1. ==[ start ]==> ((a (b a))((a (a a))((a a) a))) REDUCED to normal form. ------ 104875/9838335. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 104876/9838398. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 104877/9838443. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.b))) 5. ==[ beta ]==> ((b a)(a (^y.b))) 6. ==[ alpha ]==> ((b a)(a (^x.b))) REDUCED to normal form. ------ 104878/9838470. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 104879/9838506. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 104880/9838524. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y)) a)) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 104881/9838533. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 104882/9838587. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 104883/9838614. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 104884/9838641. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 104885/9838731. ------ 1. ==[ start ]==> (((a a)(b a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(b (a a))) REDUCED to normal form. ------ 104886/9838758. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 104887/9838785. ------ 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. ------ 104888/9838812. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)(a (^x.x)))) REDUCED to normal form. ------ 104889/9838839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 104890/9838866. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a (a a))) REDUCED to normal form. ------ 104891/9838893. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 104892/9838920. ------ 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 a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 104893/9838947. ------ 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))(a b))) REDUCED to normal form. ------ 104894/9839010. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104895/9839091. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(y y)))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 104896/9839172. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 104897/9839316. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 104898/9839397. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.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. ------ 104899/9839424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104900/9839469. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (b ((^x1.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104901/9839622. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a b))) REDUCED to normal form. ------ 104902/9839883. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104903/9840090. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 104904/9840207. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.b))) REDUCED to normal form. ------ 104905/9840234. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a a))) 3. ==[ beta ]==> ((b a)((^y.a)(a a))) 4. ==[ alpha ]==> ((b a)((^x.a)(a a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 104906/9840252. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 104907/9840261. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 104908/9840279. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 104909/9840288. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^z1.z1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^z1.z1) a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 104910/9840333. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 104911/9840369. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 104912/9840396. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 104913/9840414. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 104914/9840423. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 104915/9840450. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 104916/9840477. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 104917/9840594. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(a (^y.y)))) 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. ------ 104918/9840621. ------ 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) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 104919/9840648. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 104920/9840675. ------ 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)(^x.x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 104921/9841197. ------ 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 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104922/9841233. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((b b)((^y.y)(^y.y))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 104923/9841260. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 104924/9841314. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 104925/9841359. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.a) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.a) b)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 104926/9841422. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 104927/9841440. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 104928/9841449. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 104929/9841503. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 104930/9841548. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104931/9841557. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 104932/9841584. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.a)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 104933/9841647. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 104934/9841674. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c a)) 3. ==[ beta ]==> (((a (^x.x)) b)(c a)) REDUCED to normal form. ------ 104935/9841701. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 104936/9841728. ------ 1. ==[ start ]==> (((a (a a))(b a))(a c)) REDUCED to normal form. ------ 104937/9841755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (a a))) 5. ==[ beta ]==> (((a a)(^y.y))(b (a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a a))) REDUCED to normal form. ------ 104938/9841782. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 104939/9841809. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 104940/9841836. ------ 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. ------ 104941/9841863. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 104942/9841917. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 104943/9849600. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a)) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a)) b) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 104944/9849624. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104945/9849705. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 104946/9849867. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (^x.((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (^x.((a (^y.y)) b)) REDUCED to normal form. ------ 104947/9850209. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1))))(((^y.a)(a (^z.(^x1.x1))))((^y.a)(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))(((^x1.a)(a (^y1.(^z1.z1))))((^x2.a)(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (a (((^x1.a)(a (^y1.(^z1.z1))))((^x2.a)(a (^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (a (((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1)))))) 7. ==[ beta ]==> (a (a ((^x1.a)(a (^y1.(^z1.z1)))))) 8. ==[ alpha ]==> (a (a ((^x.a)(a (^y.(^z.z)))))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 104948/9850560. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104949/9850992. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^y.y)(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 104950/9851505. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 104951/9851892. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(b a))) 3. ==[ beta ]==> (^y.(((a (^z.z))(b a))((a (^z.z))(b a)))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(b a))((a (^z.z))(b a)))) REDUCED to normal form. ------ 104952/9851940. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 104953/9852813. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(b a))) 3. ==[ beta ]==> ((^y.y)(^x1.(b a))) 4. ==[ alpha ]==> ((^x.x)(^y.(b a))) 5. ==[ beta ]==> (^y.(b a)) 6. ==[ alpha ]==> (^x.(b a)) REDUCED to normal form. ------ 104954/9853092. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 104955/9853623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (b (^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 104956/9853875. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 104957/9854127. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 104958/9854970. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104959/9855018. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 104960/9855207. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(a z))) 3. ==[ eta ]==> ((((a a)(^x.x))((^y.y) a)) a) 4. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 104961/9855285. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 104962/9855738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^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. ------ 104963/9856284. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((^y.a)(^z.a))((^y.a)(^z.a)))(((^y.a)(^z.a))((^y.a)(^z.a)))) 4. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.a)(^x1.a)))(((^y1.a)(^z1.a))((^x2.a)(^y2.a)))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.a)))(((^y1.a)(^z1.a))((^x2.a)(^y2.a)))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 7. ==[ beta ]==> ((a a)(((^z.a)(^x1.a))((^y1.a)(^z1.a)))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.a))((^z.a)(^x1.a)))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(^x1.a)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 104964/9856458. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(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. ------ 104965/9856683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.d)) REDUCED to normal form. ------ 104966/9856872. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 104967/9856953. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.c)) 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. ------ 104968/9857043. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 104969/9857097. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 104970/9857151. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 104971/9857205. ------ 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. ------ 104972/9857232. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 104973/9857286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 104974/9857316. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 104975/9857343. ------ 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. ------ 104976/9857370. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 104977/9857397. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 104978/9857451. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104979/9857478. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 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. ------ 104980/9857505. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 104981/9857532. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) a)(a (^x1.(^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. ------ 104982/9857559. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 104983/9857577. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 104984/9857676. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 104985/9857703. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 104986/9857730. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 104987/9857784. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 104988/9857847. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 104989/9857874. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(b a))) 5. ==[ beta ]==> ((a (a a))((b a)(b a))) REDUCED to normal form. ------ 104990/9857892. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a 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. ------ 104991/9857901. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 104992/9857973. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a)) a)) 3. ==[ beta ]==> ((a b)(((a a)(a a)) a)) REDUCED to normal form. ------ 104993/9858000. ------ 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. ------ 104994/9858144. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 104995/9858198. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 104996/9858252. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 104997/9858261. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 104998/9858288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(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. ------ 104999/9858342. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 7. ==[ beta ]==> (((^y.y) b)(a a)) 8. ==[ alpha ]==> (((^x.x) b)(a a)) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105000/9858351. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b) b)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x) b)) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 105001/9858396. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((b 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. ------ 105002/9858423. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(a (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. ------ 105003/9858477. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 105004/9858630. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 105005/9858684. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b)(a a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 105006/9858810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.a))) 5. ==[ beta ]==> (b ((a b)(^y.a))) 6. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 105007/9858837. ------ 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. ------ 105008/9858891. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 105009/9858945. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 105010/9858972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105011/9858999. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b a)) REDUCED to normal form. ------ 105012/9859035. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 105013/9859116. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 105014/9859143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 105015/9859197. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 105016/9859287. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (a (^z.(^x1.x1))))) IRREDUCIBLE: cycle. ------ 105017/9859350. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 105018/9859368. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(a (^z.z)))) 3. ==[ beta ]==> (b ((b a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 105019/9859395. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 105020/9859404. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 105021/9859422. ------ 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 (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 105022/9859476. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 105023/9859557. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 105024/9859584. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(b a))) REDUCED to normal form. ------ 105025/9859602. ------ 1. ==[ start ]==> (((a a)(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 105026/9859629. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a (^y.y))) REDUCED to normal form. ------ 105027/9859656. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 105028/9859737. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 105029/9859755. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 105030/9859764. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 105031/9859971. ------ 1. ==[ start ]==> (((a b) b)((b a) b)) REDUCED to normal form. ------ 105032/9860178. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (b (c ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 105033/9860502. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 105034/9860646. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 105035/9860673. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) b)(^y.a)) 8. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 105036/9860700. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.b))) REDUCED to normal form. ------ 105037/9860754. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 105038/9860835. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105039/9860979. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 105040/9861006. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 105041/9861033. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))(^c.(^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. ------ 105042/9861312. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 105043/9861456. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 105044/9861564. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 105045/9861591. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 105046/9861645. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 105047/9861789. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 105048/9862527. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 105049/9862536. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 105050/9862635. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105051/9862662. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 105052/9862680. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.b))) REDUCED to normal form. ------ 105053/9862707. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(a a)))) REDUCED to normal form. ------ 105054/9862734. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 105055/9862788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 105056/9862815. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 105057/9862842. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 105058/9862869. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((a 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. ------ 105059/9862896. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a b)) REDUCED to normal form. ------ 105060/9862941. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105061/9862977. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 105062/9863148. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 105063/9863256. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)((a 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. ------ 105064/9863292. ------ 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. ------ 105065/9863319. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 105066/9863346. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.a))) REDUCED to normal form. ------ 105067/9863427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.a))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105068/9863454. ------ 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. ------ 105069/9863481. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 105070/9863508. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a)) c)) REDUCED to normal form. ------ 105071/9863580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105072/9863616. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 105073/9863706. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.(y y)))) 3. ==[ beta ]==> ((a (b a))(c (^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))(c (^x.(x x)))) REDUCED to normal form. ------ 105074/9863733. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 105075/9863787. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 105076/9863814. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 105077/9863841. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 105078/9863868. ------ 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))(a (a 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. ------ 105079/9863922. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^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)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 105080/9863949. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (a a))(^y.y)) 8. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 105081/9863976. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 105082/9864012. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (a (a a)))) 3. ==[ beta ]==> ((^y.y)(b (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(b (a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 105083/9864147. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 105084/9864291. ------ 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. ------ 105085/9864318. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a) b)) 3. ==[ beta ]==> ((((a a)(a a)) a)(a b)) REDUCED to normal form. ------ 105086/9864363. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105087/9864399. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1)) a)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 105088/9864417. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((b a)(b a))(a (a a))) REDUCED to normal form. ------ 105089/9864507. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 105090/9864561. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.a))) REDUCED to normal form. ------ 105091/9864615. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1)) b)) REDUCED to normal form. ------ 105092/9864642. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 105093/9864669. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 105094/9864705. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 105095/9864732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 105096/9864759. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 105097/9864786. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 105098/9864813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 105099/9864840. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 105100/9864867. ------ 1. ==[ start ]==> (((a b)(a b))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.x))) REDUCED to normal form. ------ 105101/9864894. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 105102/9864921. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 105103/9864975. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 105104/9864992. ------ 1. ==[ start ]==> (^a.((^b.b) c)) 2. ==[ alpha ]==> (^x.((^y.y) c)) 3. ==[ beta ]==> (^x.c) REDUCED to normal form. ------ 105105/9864993. ------ 1. ==[ start ]==> (a ((^b.b) c)) 2. ==[ alpha ]==> (a ((^x.x) c)) 3. ==[ beta ]==> (a c) REDUCED to normal form. ------ 105106/9872691. ------ 1. ==[ start ]==> ((^a.a)((^b.b) c)) 2. ==[ alpha ]==> ((^x.x)((^y.y) c)) 3. ==[ beta ]==> ((^y.y) c) 4. ==[ alpha ]==> ((^x.x) c) 5. ==[ beta ]==> c REDUCED to normal form. ------ 105107/9872943. ------ 1. ==[ start ]==> ((^a.(^b.a))(c (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(c (^z.z))) 3. ==[ beta ]==> (^y.(c (^z.z))) 4. ==[ alpha ]==> (^x.(c (^y.y))) REDUCED to normal form. ------ 105108/9872982. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 105109/9873015. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a))(^z.z))) 3. ==[ eta ]==> ((^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. ------ 105110/9873186. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 105111/9873285. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1))))((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^y.y) a)(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((((^y1.y1) a)(^z1.(^x2.(^y2.y2))))(((^z2.z2) a)(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((((^y1.y1) a)(^z1.(^x2.(^y2.y2))))(((^z2.z2) a)(^x3.(^y3.(^z3.z3)))))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((((^x1.x1) a)(^y1.(^z1.(^x2.x2))))(((^y2.y2) a)(^z2.(^x3.(^y3.y3)))))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^y1.(^z1.(^x2.x2))))(((^y2.y2) a)(^z2.(^x3.(^y3.y3)))))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.(^z2.(^x3.x3)))))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.(^z1.z1))))(a (^y2.(^z2.(^x3.x3)))))) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.(^y1.(^z1.z1))))(a (^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 105112/9873510. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105113/9874068. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((((^y.y) b)(^z.z))(((^y.y) b)(^z.z)))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((((^x.x) b)(^y.y))(((^z.z) b)(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 5. ==[ beta ]==> (((b (^y.y))(((^z.z) b)(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 6. ==[ alpha ]==> (((b (^x.x))(((^y.y) b)(^z.z)))(((^x1.x1) b)(^y1.y1))) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))(((^x1.x1) b)(^y1.y1))) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(((^z.z) b)(^x1.x1))) 9. ==[ beta ]==> (((b (^x.x))(b (^y.y)))(b (^x1.x1))) 10. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 105114/9874401. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105115/9874968. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.a))) 3. ==[ beta ]==> (^y.((c (^z.a))(c (^z.a)))) 4. ==[ alpha ]==> (^x.((c (^y.a))(c (^z.a)))) REDUCED to normal form. ------ 105116/9876186. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(y a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x a))) REDUCED to normal form. ------ 105117/9876969. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 105118/9877155. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 105119/9878046. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105120/9878361. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 105121/9878652. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((a a) a))) REDUCED to normal form. ------ 105122/9879003. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((z z) z))) 3. ==[ beta ]==> ((b (^y.y))(^z.((z z) z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 105123/9879786. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 105124/9879867. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 105125/9879885. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 105126/9880056. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 105127/9880119. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.c)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.c)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.c)) REDUCED to normal form. ------ 105128/9880173. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 105129/9880281. ------ 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. ------ 105130/9880362. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 105131/9880392. ------ 1. ==[ start ]==> ((a a)((^b.b) c)) 2. ==[ alpha ]==> ((a a)((^x.x) c)) 3. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 105132/9880410. ------ 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. ------ 105133/9880437. ------ 1. ==[ start ]==> (((a a) a)((b a)(a (a a)))) REDUCED to normal form. ------ 105134/9880464. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 105135/9880491. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 105136/9880518. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 105137/9880545. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 105138/9880572. ------ 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)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 105139/9880599. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 105140/9880626. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 105141/9880644. ------ 1. ==[ start ]==> ((a (^b.a))(c (^b.b))) 2. ==[ alpha ]==> ((a (^x.a))(c (^y.y))) REDUCED to normal form. ------ 105142/9880680. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 105143/9880716. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 105144/9880725. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 105145/9880752. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 105146/9880887. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 105147/9880905. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 105148/9880986. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(^y.(^z.(^x1.x1))))) 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. ------ 105149/9880995. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.a)(a (^z.(^x1.x1))))((^y.a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (a ((^x1.a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105150/9881022. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 105151/9881103. ------ 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. ------ 105152/9881130. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 105153/9881211. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 105154/9881346. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105155/9881373. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105156/9881436. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b)(a a))) 3. ==[ beta ]==> (((a (a a)) b)(b (a a))) REDUCED to normal form. ------ 105157/9881463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 105158/9881490. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 105159/9881517. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 105160/9881544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 105161/9881571. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 105162/9881598. ------ 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. ------ 105163/9881769. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.y))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 105164/9881805. ------ 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.(^x2.x2)))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105165/9881859. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 105166/9881967. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(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. ------ 105167/9882021. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(b a))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 105168/9882102. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 105169/9882120. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 105170/9882147. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a) c)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a) c)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a) c)) REDUCED to normal form. ------ 105171/9882291. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 105172/9882372. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) IRREDUCIBLE: cycle. ------ 105173/9882435. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 105174/9882462. ------ 1. ==[ start ]==> (((a b) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 105175/9882489. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 105176/9882543. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a b)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 105177/9882570. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 105178/9882597. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105179/9882624. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 105180/9882651. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 105181/9882669. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 105182/9882741. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 105183/9882768. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 105184/9882795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (a (((a a)(^y.y))(^z.a))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 105185/9882822. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 105186/9882849. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 105187/9882885. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105188/9882912. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105189/9882966. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 8. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 105190/9883047. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(^x2.x2))) 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. ------ 105191/9883128. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105192/9883263. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105193/9883272. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 105194/9883299. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (b a))) REDUCED to normal form. ------ 105195/9883335. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 105196/9883488. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 105197/9883722. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (b ((^z.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105198/9883803. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(a b))) REDUCED to normal form. ------ 105199/9883830. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)((^y1.y1)(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. ------ 105200/9883884. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(b a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(b a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(b a)) REDUCED to normal form. ------ 105201/9883965. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 105202/9884226. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b) a)((^y.(a a)) c)) 4. ==[ alpha ]==> (((a b) a)((^x.(a a)) c)) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 105203/9884397. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 105204/9884478. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105205/9884586. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))((a a) a))) 3. ==[ beta ]==> ((b a)((^y.(y y))((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.(x x))((a a) a))) 5. ==[ beta ]==> ((b a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 105206/9884613. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105207/9884667. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.y))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 105208/9884748. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105209/9884856. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 105210/9884955. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 105211/9884982. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b) c)) 5. ==[ beta ]==> (((a a) a)((^y.b) c)) 6. ==[ alpha ]==> (((a a) a)((^x.b) c)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 105212/9885135. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105213/9885234. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 105214/9885315. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (b ((^x1.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105215/9885423. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105216/9885477. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105217/9885531. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 105218/9885540. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c ((a a) a))) REDUCED to normal form. ------ 105219/9885567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (a b))) 5. ==[ beta ]==> ((^y.b)(b (a b))) 6. ==[ alpha ]==> ((^x.b)(b (a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 105220/9885621. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 105221/9885648. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 105222/9885675. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 105223/9885729. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a (^x1.x1))) REDUCED to normal form. ------ 105224/9885747. ------ 1. ==[ start ]==> ((a (^b.b))(c (^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.a))) REDUCED to normal form. ------ 105225/9885819. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 105226/9885846. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 105227/9885873. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 9. ==[ beta ]==> ((a b)(^y.a)) 10. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 105228/9885900. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 105229/9885927. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 105230/9885981. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 105231/9886035. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a) b)) REDUCED to normal form. ------ 105232/9886062. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((a b)((^y.y) c)) 6. ==[ alpha ]==> ((a b)((^x.x) c)) 7. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 105233/9886071. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105234/9886098. ------ 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 z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 105235/9886341. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105236/9886350. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)((a a) a))) REDUCED to normal form. ------ 105237/9886395. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.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))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105238/9886422. ------ 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))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105239/9886476. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 105240/9886557. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (b ((^y.a)(^z.z))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105241/9886665. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105242/9886674. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.y1))) REDUCED to normal form. ------ 105243/9886701. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a ((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(a ((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 105244/9886737. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 105245/9886872. ------ 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. ------ 105246/9886899. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 105247/9886926. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 105248/9886953. ------ 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 z)))) REDUCED to normal form. ------ 105249/9887007. ------ 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 (^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 105250/9887034. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a)) b)) 3. ==[ beta ]==> ((b (a a))((a (a a)) b)) REDUCED to normal form. ------ 105251/9887097. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105252/9887232. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(z z)))) 3. ==[ beta ]==> (b (b (^z.(z z)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 105253/9887340. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105254/9887421. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 105255/9887448. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 105256/9887457. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 105257/9887484. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 105258/9887565. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 105259/9887583. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.(y y)))) 3. ==[ beta ]==> (b (a (^y.(y y)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 105260/9887646. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 105261/9887691. ------ 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. ------ 105262/9887700. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (a a))) REDUCED to normal form. ------ 105263/9887727. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 105264/9887754. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 105265/9887790. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 105266/9887817. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) c)) 5. ==[ beta ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 105267/9887844. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 105268/9887871. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 105269/9887898. ------ 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.x1)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 105270/9887925. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((a a) b)) REDUCED to normal form. ------ 105271/9887952. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 105272/9887979. ------ 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. ------ 105273/9888006. ------ 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))) REDUCED to normal form. ------ 105274/9888060. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 105275/9888086. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(x (^z.z)))) 3. ==[ beta ]==> (^x.(b (x (^z.z)))) 4. ==[ alpha ]==> (^x.(b (x (^y.y)))) REDUCED to normal form. ------ 105276/9888087. ------ 1. ==[ start ]==> (a (((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (a (((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (a (b (a (^y.y)))) 4. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 105277/9895788. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a))) a) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y))) a) 3. ==[ beta ]==> ((b (a (^y.y))) a) 4. ==[ alpha ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 105278/9895794. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 105279/9895803. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105280/9895821. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1) a))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 105281/9895848. ------ 1. ==[ start ]==> ((^a.b)((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((b a)(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 105282/9895929. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(a b))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 105283/9896289. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(^z.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 105284/9896463. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 105285/9897489. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 105286/9897504. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105287/9898740. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 105288/9898953. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((((^z.z) a)((^x1.x1)(a a)))(((^z.z) a)((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> (((a ((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a))))(^y1.y1)) 6. ==[ alpha ]==> (((a ((^x.x)(a a)))(((^y.y) a)((^z.z)(a a))))(^x1.x1)) 7. ==[ beta ]==> (((a (a a))(((^y.y) a)((^z.z)(a a))))(^x1.x1)) 8. ==[ alpha ]==> (((a (a a))(((^x.x) a)((^y.y)(a a))))(^z.z)) 9. ==[ beta ]==> (((a (a a))(a ((^y.y)(a a))))(^z.z)) 10. ==[ alpha ]==> (((a (a a))(a ((^x.x)(a a))))(^y.y)) 11. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 12. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 105289/9899577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(b y1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1))) b) 4. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1))) b) 5. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z))) b) 6. ==[ beta ]==> (((^y.y)(^z.z)) b) 7. ==[ alpha ]==> (((^x.x)(^y.y)) b) 8. ==[ beta ]==> ((^y.y) b) 9. ==[ alpha ]==> ((^x.x) b) 10. ==[ beta ]==> b REDUCED to normal form. ------ 105290/9899709. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105291/9900072. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^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. ------ 105292/9900081. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 105293/9900333. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 105294/9900546. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^x1.x1)(a a)))(^y.(^z.z))) 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. ------ 105295/9901197. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a b))) REDUCED to normal form. ------ 105296/9901782. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.b))) 3. ==[ beta ]==> ((b a)(^y.(^z.b))) 4. ==[ alpha ]==> ((b a)(^x.(^y.b))) REDUCED to normal form. ------ 105297/9901944. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 105298/9902106. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 105299/9902781. ------ 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)))) REDUCED to normal form. ------ 105300/9902889. ------ 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 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. ------ 105301/9902997. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 105302/9903159. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 105303/9903222. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (^z.z)))) REDUCED to normal form. ------ 105304/9903357. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(x (^y.y)))) REDUCED to normal form. ------ 105305/9903465. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(x1 x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 105306/9903492. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.z)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 105307/9903504. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((a a)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 105308/9903513. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 105309/9903531. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 105310/9903558. ------ 1. ==[ start ]==> ((a b)((b a)(a (a a)))) REDUCED to normal form. ------ 105311/9903612. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 105312/9903639. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 105313/9903774. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 105314/9903792. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 105315/9903801. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 105316/9903837. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.a)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 105317/9903864. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.(^x2.x2)))) 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. ------ 105318/9903873. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(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. ------ 105319/9903900. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 105320/9903918. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(y y)))) 5. ==[ beta ]==> (a ((b a)(^y.(y y)))) 6. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 105321/9903945. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 105322/9903981. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 105323/9903999. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.b))) REDUCED to normal form. ------ 105324/9904089. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(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. ------ 105325/9904107. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 105326/9904134. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 105327/9904170. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 105328/9904188. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 105329/9904215. ------ 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. ------ 105330/9904224. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 105331/9904251. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 105332/9904413. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 105333/9904746. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 105334/9904773. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 105335/9904800. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 7. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 105336/9904827. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 105337/9904854. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((a a)((^y.y) b))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x) b))) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 105338/9904917. ------ 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.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 105339/9904971. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 105340/9905007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105341/9905034. ------ 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. ------ 105342/9905052. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a a) a)(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 105343/9905079. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(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. ------ 105344/9905088. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 105345/9905115. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^z.z))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 105346/9905142. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 105347/9905169. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105348/9905196. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 105349/9905214. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.b))(b a)) REDUCED to normal form. ------ 105350/9905385. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105351/9905565. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) 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. ------ 105352/9905799. ------ 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. ------ 105353/9905826. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 105354/9905952. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105355/9905997. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105356/9906024. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105357/9906078. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 105358/9906159. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 105359/9906168. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 105360/9906222. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 105361/9906249. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 105362/9906303. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 105363/9906330. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))((^y.(^z.z))(^x1.b))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105364/9906357. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 105365/9906384. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 105366/9906447. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 105367/9906474. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)(a a))) REDUCED to normal form. ------ 105368/9906501. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 105369/9906528. ------ 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 a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 105370/9906555. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a b)(a (a a)))) REDUCED to normal form. ------ 105371/9906582. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 105372/9906609. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 105373/9906636. ------ 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. ------ 105374/9906663. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 105375/9906834. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (b ((a b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 105376/9906843. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 105377/9906870. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 105378/9906897. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 105379/9906915. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.b))) REDUCED to normal form. ------ 105380/9906942. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.(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. ------ 105381/9906951. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 105382/9906978. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 105383/9907077. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 105384/9907086. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 105385/9907113. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 105386/9907230. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a b))(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a b))(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a b))(c (a a))) REDUCED to normal form. ------ 105387/9907257. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 105388/9907284. ------ 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. ------ 105389/9907311. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 105390/9907338. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a b) a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a b) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 105391/9907365. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a b) a)) REDUCED to normal form. ------ 105392/9907392. ------ 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. ------ 105393/9907419. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (b a))(^y.y)) 8. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 105394/9907590. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 105395/9907653. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 105396/9907698. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.a))) REDUCED to normal form. ------ 105397/9907725. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 105398/9907761. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 105399/9907779. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 105400/9907788. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 105401/9907842. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 105402/9907860. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 105403/9907869. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 105404/9907896. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 105405/9907923. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 105406/9907986. ------ 1. ==[ start ]==> (((a a)(b a))(c (a b))) REDUCED to normal form. ------ 105407/9908013. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(b (a a))) REDUCED to normal form. ------ 105408/9908040. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 105409/9908067. ------ 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. ------ 105410/9908094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a b)(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 105411/9908121. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 105412/9908148. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a b)(a (a a)))(a (a a))) REDUCED to normal form. ------ 105413/9908175. ------ 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))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 105414/9908202. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 105415/9908247. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(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. ------ 105416/9908256. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 105417/9908346. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((a a)(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.a))) REDUCED to normal form. ------ 105418/9908427. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 105419/9908535. ------ 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))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105420/9908544. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 105421/9908652. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 105422/9908679. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 105423/9908724. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (b ((^x1.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105424/9908877. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 105425/9908904. ------ 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. ------ 105426/9909138. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105427/9909183. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (((^y.y)(^z.z)) c) 6. ==[ alpha ]==> (((^x.x)(^y.y)) c) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 105428/9909345. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105429/9909462. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.a))) REDUCED to normal form. ------ 105430/9909489. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.b))) 3. ==[ beta ]==> ((b a)(a (^y.b))) 4. ==[ alpha ]==> ((b a)(a (^x.b))) REDUCED to normal form. ------ 105431/9909507. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(^z.z))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.y))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 105432/9909516. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 105433/9909534. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105434/9909543. ------ 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))(a (^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 105435/9909588. ------ 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) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 105436/9909624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105437/9909651. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a a) a)) REDUCED to normal form. ------ 105438/9909669. ------ 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. ------ 105439/9909678. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 105440/9909705. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 105441/9909732. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 105442/9909786. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 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. ------ 105443/9909813. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.a)) 6. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 105444/9909849. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 105445/9909876. ------ 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))(a (^x1.x1)))) REDUCED to normal form. ------ 105446/9909903. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a (b a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a (b a))(a ((^x.x) a))) 7. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 105447/9909930. ------ 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))(a (a a)))) REDUCED to normal form. ------ 105448/9909957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 105449/9910452. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105450/9910488. ------ 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. ------ 105451/9910515. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(^y.y))) 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. ------ 105452/9910533. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a) b)) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 105453/9910560. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) c)) 5. ==[ beta ]==> ((a (^y.y)) c) 6. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 105454/9910569. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 105455/9910596. ------ 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 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 105456/9910614. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y)) a)) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x)) a)) 5. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 105457/9910677. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.a))) REDUCED to normal form. ------ 105458/9910704. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 105459/9910758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 105460/9910803. ------ 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))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105461/9910812. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 105462/9910839. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 105463/9910866. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 105464/9910902. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 105465/9910929. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(a (^y.y)))) REDUCED to normal form. ------ 105466/9910983. ------ 1. ==[ start ]==> (((a (a a))(b a))(b b)) REDUCED to normal form. ------ 105467/9911037. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (a a))) REDUCED to normal form. ------ 105468/9911064. ------ 1. ==[ start ]==> (((a b)(a b))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 105469/9911091. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 105470/9911118. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 105471/9911172. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 105472/9911199. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a a)) 3. ==[ beta ]==> ((b (a (^y.y)))(a a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 105473/9918909. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a))) b) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y))) b) 3. ==[ beta ]==> ((b (a (^y.y))) b) 4. ==[ alpha ]==> ((b (a (^x.x))) b) REDUCED to normal form. ------ 105474/9918933. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105475/9919014. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105476/9919176. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^x.(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (^x.(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 105477/9919518. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((^y.(y y))(b a))(((^y.(y y))(b a))((^y.(y y))(b a)))) 4. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.(y y))(b a))((^z.(z z))(b a)))) 5. ==[ beta ]==> (((b a)(b a))(((^y.(y y))(b a))((^z.(z z))(b a)))) 6. ==[ alpha ]==> (((b a)(b a))(((^x.(x x))(b a))((^y.(y y))(b a)))) 7. ==[ beta ]==> (((b a)(b a))(((b a)(b a))((^y.(y y))(b a)))) 8. ==[ alpha ]==> (((b a)(b a))(((b a)(b a))((^x.(x x))(b a)))) 9. ==[ beta ]==> (((b a)(b a))(((b a)(b a))((b a)(b a)))) REDUCED to normal form. ------ 105478/9919593. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 105479/9919962. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 5. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 7. ==[ beta ]==> (^y.((y y)(y y))) 8. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 105480/9920814. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((^y.a)(^z.b)) b) 4. ==[ alpha ]==> (((^x.a)(^y.b)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 105481/9921201. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((((^z.z) a)((a a)(^x1.x1)))(((^z.z) a)((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.((((^y.y) a)((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.((a ((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))) 7. ==[ beta ]==> (^x.((a ((a a)(^y.y)))(a ((a a)(^x1.x1))))) 8. ==[ alpha ]==> (^x.((a ((a a)(^y.y)))(a ((a a)(^z.z))))) REDUCED to normal form. ------ 105482/9921276. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.(^b.b))) 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 (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 105483/9921408. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.b)((^x1.x1)(^y1.y1)))((^z.b)((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (b ((^x1.b)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105484/9921870. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 105485/9923211. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 105486/9923463. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 105487/9923676. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.(a a)))) 3. ==[ beta ]==> ((b (^x1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 105488/9924147. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 105489/9924279. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105490/9924354. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 105491/9924594. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 105492/9925074. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 105493/9925407. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 105494/9925542. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.((^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. ------ 105495/9925593. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))(((^y.(y y))(^z.(^x1.x1)))((^y.(y y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(((^x2.(x2 x2))(^y2.(^z2.z2)))((^x3.(x3 x3))(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1))))(((^x2.(x2 x2))(^y2.(^z2.z2)))((^x3.(x3 x3))(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))(((^y2.(y2 y2))(^z2.(^x3.x3)))((^y3.(y3 y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2))))(((^y2.(y2 y2))(^z2.(^x3.x3)))((^y3.(y3 y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.x)((^y.(y y))(^z.(^x1.x1))))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 9. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 10. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.(x1 x1))(^y1.(^z1.z1)))((^x2.(x2 x2))(^y2.(^z2.z2))))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 13. ==[ beta ]==> ((^y.y)(((^y1.(y1 y1))(^z1.(^x2.x2)))((^y2.(y2 y2))(^z2.(^x3.x3))))) 14. ==[ alpha ]==> ((^x.x)(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 15. ==[ beta ]==> (((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 16. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 17. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 18. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 19. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 20. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 21. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 22. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 23. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 24. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105496/9925911. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^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. ------ 105497/9926037. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(y (y y)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(x (x x)))) REDUCED to normal form. ------ 105498/9926118. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z) a))) 3. ==[ beta ]==> (b (^y.((^z.z) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 105499/9926379. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.z))) REDUCED to normal form. ------ 105500/9926433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 105501/9926487. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 105502/9926541. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 105503/9926595. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 105504/9926622. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 105505/9926652. ------ 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. ------ 105506/9926661. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b) c)) 2. ==[ alpha ]==> (((^x.x) a)((^y.y) c)) 3. ==[ beta ]==> (a ((^y.y) c)) 4. ==[ alpha ]==> (a ((^x.x) c)) 5. ==[ beta ]==> (a c) REDUCED to normal form. ------ 105507/9926679. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 105508/9926706. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(a (a a)))) 3. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 105509/9926733. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 105510/9926787. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105511/9926814. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 105512/9926841. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 105513/9926868. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 105514/9926895. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 105515/9926940. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.(a a)))) REDUCED to normal form. ------ 105516/9927012. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 105517/9927039. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 105518/9927066. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 105519/9927093. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 105520/9927156. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(a b))) 3. ==[ beta ]==> (((a a) a)((^y.b)(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(a b))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 105521/9927210. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 105522/9927237. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(b a))) 3. ==[ beta ]==> ((a (a (a a)))((b a)(b a))) REDUCED to normal form. ------ 105523/9927309. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 105524/9927336. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 105525/9927363. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b b)) REDUCED to normal form. ------ 105526/9927390. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 105527/9927480. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 105528/9927507. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 105529/9927561. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 105530/9927678. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 105531/9927687. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a)) a)) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 105532/9927714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z) b)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 105533/9927732. ------ 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)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 105534/9927741. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 105535/9927759. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)((b a)((^y.y) a))) 5. ==[ beta ]==> ((b a)((^y.y) a)) 6. ==[ alpha ]==> ((b a)((^x.x) a)) 7. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 105536/9927813. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 105537/9927993. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b (^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.y))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 105538/9928146. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 105539/9928173. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.a))) REDUCED to normal form. ------ 105540/9928227. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 105541/9928308. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105542/9928335. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 105543/9928371. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b)(^a.a))) 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. ------ 105544/9928398. ------ 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.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 105545/9928479. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 105546/9928506. ------ 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. ------ 105547/9928533. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.b))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 105548/9928686. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x) a)) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 105549/9928704. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 105550/9928713. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 105551/9928731. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 105552/9928758. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))((^x1.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. ------ 105553/9928812. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 105554/9928893. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 105555/9928920. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 105556/9928938. ------ 1. ==[ start ]==> (((a a)(a b))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(a b))(c (^x.a))) REDUCED to normal form. ------ 105557/9928965. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 105558/9928992. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a (^b.b))) 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 (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 105559/9929019. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(a a))) 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. ------ 105560/9929091. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a a)(^y.(y y)))) 6. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 105561/9929100. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 105562/9929127. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 105563/9929307. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 105564/9929334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((b a) b)) 3. ==[ beta ]==> (((a a) a)((b a) b)) REDUCED to normal form. ------ 105565/9929361. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 105566/9929586. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 105567/9929838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 105568/9929982. ------ 1. ==[ start ]==> (((a b) c)((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.(x x)))) REDUCED to normal form. ------ 105569/9930009. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 105570/9930090. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(a a)))) REDUCED to normal form. ------ 105571/9930117. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 105572/9930171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105573/9930198. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 105574/9930225. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.a))((a a) c)) REDUCED to normal form. ------ 105575/9930315. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 105576/9930342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 105577/9930369. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 105578/9930648. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 105579/9930792. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 105580/9930900. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 105581/9930927. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 105582/9930981. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 105583/9931008. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b) c)) REDUCED to normal form. ------ 105584/9931125. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 105585/9931152. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 105586/9931395. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(a a)))) REDUCED to normal form. ------ 105587/9931404. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105588/9931683. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b) b)) REDUCED to normal form. ------ 105589/9931863. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 105590/9931872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 105591/9931899. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) b)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 105592/9931926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 105593/9931971. ------ 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))(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. ------ 105594/9931998. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 105595/9932043. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.b))) REDUCED to normal form. ------ 105596/9932070. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 105597/9932097. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a a))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 105598/9932124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 105599/9932151. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 105600/9932178. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 105601/9932205. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 105602/9932232. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 105603/9932277. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105604/9932286. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 105605/9932313. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 105606/9932484. ------ 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. ------ 105607/9932592. ------ 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)))((a (^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105608/9932655. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 105609/9932682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 105610/9932763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105611/9932790. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 105612/9932817. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) a)) REDUCED to normal form. ------ 105613/9932844. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 105614/9933096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 105615/9933123. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.a))) REDUCED to normal form. ------ 105616/9933150. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 105617/9933177. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^z.z))(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 105618/9933204. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 105619/9933258. ------ 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)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 105620/9933285. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^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))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 105621/9933312. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 105622/9933348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 5. ==[ beta ]==> (c ((^y.y) a)) 6. ==[ alpha ]==> (c ((^x.x) a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 105623/9933483. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 105624/9933591. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c c)) 3. ==[ beta ]==> ((^y.(^z.z))(c c)) 4. ==[ alpha ]==> ((^x.(^y.y))(c c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105625/9933627. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.(y y)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 105626/9933654. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a)) a)) REDUCED to normal form. ------ 105627/9933699. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.y)))) 5. ==[ beta ]==> (c (a (^y.y))) 6. ==[ alpha ]==> (c (a (^x.x))) REDUCED to normal form. ------ 105628/9933708. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z)) c)) REDUCED to normal form. ------ 105629/9933753. ------ 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 a)(b a))(a (a (a a)))) REDUCED to normal form. ------ 105630/9933816. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 105631/9933834. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)((^y.y) a))) 3. ==[ beta ]==> (b ((a a)((^y.y) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 105632/9933897. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 105633/9933951. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 105634/9933978. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 105635/9934068. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 105636/9934095. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^b.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. ------ 105637/9934122. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 105638/9934149. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 105639/9934176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 105640/9934203. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^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. ------ 105641/9934230. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 105642/9934257. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 105643/9934311. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 105644/9934338. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 105645/9936069. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.b))(^z.z)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105646/9942057. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a))) c) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y))) c) 3. ==[ beta ]==> ((b (a (^y.y))) c) 4. ==[ alpha ]==> ((b (a (^x.x))) c) REDUCED to normal form. ------ 105647/9942108. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(x x))((^y.y) c)) 3. ==[ beta ]==> (((^y.y) c)((^y.y) c)) 4. ==[ alpha ]==> (((^x.x) c)((^y.y) c)) 5. ==[ beta ]==> (c ((^y.y) c)) 6. ==[ alpha ]==> (c ((^x.x) c)) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 105648/9942576. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 105649/9942768. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 7. ==[ beta ]==> (^y.((a a)(a a))) 8. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 105650/9942900. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105651/9943119. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 105652/9943128. ------ 1. ==[ start ]==> (((a (a a)) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((x x)(x x)))) REDUCED to normal form. ------ 105653/9943791. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105654/9943794. ------ 1. ==[ start ]==> ((a (^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 105655/9944127. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 105656/9944565. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 105657/9944739. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 105658/9947304. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 105659/9947313. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 105660/9947751. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 105661/9948069. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((a a) a))) 3. ==[ beta ]==> ((b a)(^y.((a a) a))) 4. ==[ alpha ]==> ((b a)(^x.((a a) a))) REDUCED to normal form. ------ 105662/9948087. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 5. ==[ beta ]==> (b (^y.(^z.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 105663/9948249. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 105664/9948750. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a)) b)) 3. ==[ beta ]==> ((((a (a a)) b)((a (a a)) b))(((a (a a)) b)((a (a a)) b))) REDUCED to normal form. ------ 105665/9949194. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 105666/9949284. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.a)) REDUCED to normal form. ------ 105667/9949383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.((^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. ------ 105668/9949536. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.c)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.c)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.c)) REDUCED to normal form. ------ 105669/9949644. ------ 1. ==[ start ]==> (((a b)(a b))(^c.b)) 2. ==[ alpha ]==> (((a b)(a b))(^x.b)) REDUCED to normal form. ------ 105670/9949698. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.x1)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 105671/9949779. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.a)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 105672/9949827. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (a (((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (a (((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (a (b (a (^y.y)))) 6. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 105673/9949836. ------ 1. ==[ start ]==> ((a (a a))((^b.b) c)) 2. ==[ alpha ]==> ((a (a a))((^x.x) c)) 3. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 105674/9949854. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 105675/9949881. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 105676/9949908. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 105677/9949935. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 105678/9949962. ------ 1. ==[ start ]==> (((a a) b)((a b)(a b))) REDUCED to normal form. ------ 105679/9949989. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 105680/9950016. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(^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. ------ 105681/9950043. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(b a))) REDUCED to normal form. ------ 105682/9950097. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 105683/9950223. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 105684/9950304. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 105685/9950322. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.b))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.b))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.b))) REDUCED to normal form. ------ 105686/9950349. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 105687/9950412. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(b a))) 5. ==[ beta ]==> (((^y.(y y))(b a))((^y.(y y))(b a))) 6. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(b a))) 7. ==[ beta ]==> (((b a)(b a))((^y.(y y))(b a))) 8. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(b a))) 9. ==[ beta ]==> (((b a)(b a))((b a)(b a))) REDUCED to normal form. ------ 105688/9950439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 105689/9950493. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 105690/9950547. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105691/9950628. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 105692/9950790. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(^y1.(^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. ------ 105693/9950853. ------ 1. ==[ start ]==> (((a (a a)) b)(a ((a a)(a a)))) REDUCED to normal form. ------ 105694/9950880. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a a))) 5. ==[ beta ]==> (a (((^y.y) b)(a a))) 6. ==[ alpha ]==> (a (((^x.x) b)(a a))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 105695/9950907. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 105696/9950934. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((b a) a)) REDUCED to normal form. ------ 105697/9950961. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 105698/9950988. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 105699/9951015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 105700/9951222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105701/9951357. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((a a) a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 105702/9951438. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)((^y.(y y))((a a)(^z.z)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((a a)(^y.y)))) 9. ==[ beta ]==> ((a a)(((a a)(^y.y))((a a)(^y.y)))) 10. ==[ alpha ]==> ((a a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 105703/9951519. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.b))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 105704/9951537. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b) a)) 3. ==[ beta ]==> (((a a)((a a) a))(b a)) REDUCED to normal form. ------ 105705/9951564. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 105706/9951591. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a) c)) 3. ==[ beta ]==> ((a (a (a a)))((b a) c)) REDUCED to normal form. ------ 105707/9951708. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 105708/9951852. ------ 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. ------ 105709/9951879. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 105710/9951906. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(a (^y.y)))) REDUCED to normal form. ------ 105711/9951960. ------ 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 (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 105712/9951987. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.y))) REDUCED to normal form. ------ 105713/9952014. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((^y.a)(((a a) a)((a a) a))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105714/9952041. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 105715/9952068. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 105716/9952185. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 105717/9952212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 8. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 105718/9952239. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 105719/9952266. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 105720/9952293. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 105721/9952302. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105722/9952329. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105723/9952383. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 8. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 9. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 105724/9952464. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 105725/9952545. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105726/9952599. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 11. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 12. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 105727/9952680. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(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. ------ 105728/9952779. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 105729/9952905. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 105730/9953004. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 105731/9953139. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105732/9953220. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 105733/9953247. ------ 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))(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. ------ 105734/9953301. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 105735/9953382. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105736/9953643. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 105737/9953670. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 105738/9953814. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(a a)))) 5. ==[ beta ]==> (b (c (^z.(a a)))) 6. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 105739/9953895. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105740/9954003. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^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. ------ 105741/9954030. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 105742/9954084. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 105743/9954165. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 105744/9954372. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 105745/9954399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 105746/9954426. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b) c)) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 105747/9954453. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a) d)) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 105748/9954552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105749/9954570. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 105750/9954651. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 105751/9954732. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105752/9954840. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105753/9954867. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 105754/9954894. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105755/9954948. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (((a a)(a a))(^y.y)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 105756/9954984. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c ((a a) a))) 5. ==[ beta ]==> ((^y.b)(c ((a a) a))) 6. ==[ alpha ]==> ((^x.b)(c ((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 105757/9955029. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 105758/9955038. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 105759/9955065. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a a))) REDUCED to normal form. ------ 105760/9955092. ------ 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)(a (^z.z)))) REDUCED to normal form. ------ 105761/9955146. ------ 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))(a (a a)))) REDUCED to normal form. ------ 105762/9955263. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.x))) REDUCED to normal form. ------ 105763/9955290. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a 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. ------ 105764/9955317. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.a)) REDUCED to normal form. ------ 105765/9955344. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 105766/9955371. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 105767/9955452. ------ 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. ------ 105768/9955479. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a) b)) 3. ==[ beta ]==> ((a b)(((a a) a) b)) REDUCED to normal form. ------ 105769/9955488. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105770/9955515. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.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. ------ 105771/9955767. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 105772/9955794. ------ 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. ------ 105773/9955812. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 105774/9955893. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 105775/9955974. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)((a a) a))) 3. ==[ beta ]==> (b ((^y.y)((a a) a))) 4. ==[ alpha ]==> (b ((^x.x)((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 105776/9956082. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105777/9956118. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 105778/9956154. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) a)) 3. ==[ beta ]==> (((a a) b)((^y.a) a)) 4. ==[ alpha ]==> (((a a) b)((^x.a) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 105779/9956181. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 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. ------ 105780/9956208. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y)) c)) 3. ==[ beta ]==> ((a (b a))((^y.(y y)) c)) 4. ==[ alpha ]==> ((a (b a))((^x.(x x)) c)) 5. ==[ beta ]==> ((a (b a))(c c)) REDUCED to normal form. ------ 105781/9956316. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 105782/9956343. ------ 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)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 105783/9956370. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.a))) REDUCED to normal form. ------ 105784/9956424. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 105785/9956451. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((b (a a))((^y.y) a)) 6. ==[ alpha ]==> ((b (a a))((^x.x) a)) 7. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 105786/9956478. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a)) b)) REDUCED to normal form. ------ 105787/9956514. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105788/9956649. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 105789/9956757. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105790/9956838. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 105791/9956865. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 105792/9956874. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (a (^z.z)))) REDUCED to normal form. ------ 105793/9956901. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 105794/9956919. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((b a)(b a))(^y.(y y))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(x x))) REDUCED to normal form. ------ 105795/9956982. ------ 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. ------ 105796/9957000. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 105797/9957009. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.b))((a a) a)) REDUCED to normal form. ------ 105798/9957063. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c b)) REDUCED to normal form. ------ 105799/9957108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105800/9957144. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 105801/9957171. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 105802/9957207. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a) a)) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 105803/9957234. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 105804/9957288. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 105805/9957315. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 105806/9957342. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y)) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 105807/9957369. ------ 1. ==[ start ]==> (((a b)(a b))((a a) b)) REDUCED to normal form. ------ 105808/9957396. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 105809/9957423. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 105810/9957477. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 105811/9957504. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 105812/9957530. ------ 1. ==[ start ]==> (^a.(((a a)(a a))(a a))) 2. ==[ alpha ]==> (^x.(((x x)(x x))(x x))) REDUCED to normal form. ------ 105813/9957531. ------ 1. ==[ start ]==> (a (((a a)(a a))(a a))) REDUCED to normal form. ------ 105814/9959244. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105815/9965259. ------ 1. ==[ start ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 105816/9965265. ------ 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. ------ 105817/9965292. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)(a (^z.z)))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> ((b (a (^x.x)))(b (a (^z.z)))) 8. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 105818/9965319. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 105819/9965400. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((((^z.z)(a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.y)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 105820/9965589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a a)((a a)(a a)))) 3. ==[ eta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 105821/9965961. ------ 1. ==[ start ]==> (((a (a a)) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 105822/9966312. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 105823/9966642. ------ 1. ==[ start ]==> ((^a.((a a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a a)((^y.y) b))) 3. ==[ beta ]==> ((((a a)((^y.y) b))((a a)((^y.y) b)))((a a)((^y.y) b))) 4. ==[ alpha ]==> ((((a a)((^x.x) b))((a a)((^y.y) b)))((a a)((^z.z) b))) 5. ==[ beta ]==> ((((a a) b)((a a)((^y.y) b)))((a a)((^z.z) b))) 6. ==[ alpha ]==> ((((a a) b)((a a)((^x.x) b)))((a a)((^y.y) b))) 7. ==[ beta ]==> ((((a a) b)((a a) b))((a a)((^y.y) b))) 8. ==[ alpha ]==> ((((a a) b)((a a) b))((a a)((^x.x) b))) 9. ==[ beta ]==> ((((a a) b)((a a) b))((a a) b)) REDUCED to normal form. ------ 105824/9966975. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 105825/9966978. ------ 1. ==[ start ]==> ((a (^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 105826/9967311. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 105827/9967923. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 105828/9967932. ------ 1. ==[ start ]==> (((a b) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 105829/9968238. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 105830/9968424. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> ((((a (a a))(a b))((a (a a))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(a b))((a (a a))(a b)))(^x.x)) REDUCED to normal form. ------ 105831/9968796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105832/9969075. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(b x))) 3. ==[ eta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 105833/9969180. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(a (a a)))) 3. ==[ eta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 105834/9969831. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 105835/9970017. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x1.x1))(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 105836/9970497. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 105837/9970902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(a x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) b) a) 4. ==[ beta ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105838/9971280. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 105839/9971433. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 105840/9971442. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 105841/9971613. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((y y) y))) 3. ==[ beta ]==> (((a a) b)(^y.((y y) y))) 4. ==[ alpha ]==> (((a a) b)(^x.((x x) x))) REDUCED to normal form. ------ 105842/9971748. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 105843/9972279. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(a (a a)))) REDUCED to normal form. ------ 105844/9972378. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.d)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.d)) 3. ==[ beta ]==> (((b a)(b a))(^y.d)) 4. ==[ alpha ]==> (((b a)(b a))(^x.d)) REDUCED to normal form. ------ 105845/9972576. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 105846/9972666. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 105847/9972855. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 105848/9972936. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.b)) REDUCED to normal form. ------ 105849/9972963. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(z z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 105850/9972990. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 105851/9973002. ------ 1. ==[ start ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 105852/9973029. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 105853/9973038. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 105854/9973056. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 105855/9973110. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 105856/9973137. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 105857/9973272. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 105858/9973290. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c (^z.z))) 3. ==[ beta ]==> ((^y.y)(c (^z.z))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 105859/9973299. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.y)) b)) REDUCED to normal form. ------ 105860/9973326. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 105861/9973362. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 105862/9973371. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 105863/9973398. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 105864/9973416. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 105865/9973425. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 105866/9973443. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 105867/9973587. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 105868/9973632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(^y1.(^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. ------ 105869/9973668. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 105870/9973695. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((a a)(a a))) REDUCED to normal form. ------ 105871/9973713. ------ 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. ------ 105872/9973740. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105873/9973749. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 105874/9973776. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 105875/9973911. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 105876/9974046. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(a a))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(a a))) REDUCED to normal form. ------ 105877/9974091. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 105878/9974244. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 105879/9974271. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (a a)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a a))) 7. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 105880/9974298. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a (a a))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 105881/9974325. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (b a))) REDUCED to normal form. ------ 105882/9974352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 105883/9974379. ------ 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. ------ 105884/9974415. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.z1))) 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. ------ 105885/9974469. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)(^z.a))) 5. ==[ beta ]==> (a ((b a)(^z.a))) 6. ==[ alpha ]==> (a ((b a)(^x.a))) REDUCED to normal form. ------ 105886/9974505. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105887/9974532. ------ 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. ------ 105888/9974550. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.a))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 105889/9974577. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 105890/9974586. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 105891/9974613. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 105892/9974640. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 105893/9974667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105894/9974694. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(a (^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. ------ 105895/9974712. ------ 1. ==[ start ]==> ((a (^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 105896/9974883. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105897/9975045. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 105898/9975063. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105899/9975090. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 105900/9975297. ------ 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. ------ 105901/9975324. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(b a))) REDUCED to normal form. ------ 105902/9975351. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 105903/9975450. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 105904/9975495. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105905/9975522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 105906/9975576. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.(a a))) 8. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 105907/9975657. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 105908/9975666. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 105909/9975693. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 105910/9975711. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) b)) 5. ==[ beta ]==> ((a a)((b a) b)) REDUCED to normal form. ------ 105911/9975738. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 105912/9975747. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 105913/9975801. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 105914/9975855. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 105915/9975882. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 105916/9975909. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 105917/9975945. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (b a))) 3. ==[ beta ]==> (((a a)(a a))(b (b a))) REDUCED to normal form. ------ 105918/9975972. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 105919/9975999. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a)(a a))) 3. ==[ beta ]==> ((a ((a a) a))((b a)(a a))) REDUCED to normal form. ------ 105920/9976026. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 105921/9976053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))((a a)((^y.y) a))) 8. ==[ alpha ]==> ((a (a a))((a a)((^x.x) a))) 9. ==[ beta ]==> ((a (a a))((a a) a)) REDUCED to normal form. ------ 105922/9976080. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(a (a a)))) REDUCED to normal form. ------ 105923/9976107. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 105924/9976134. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 105925/9976161. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 105926/9976332. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.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. ------ 105927/9976341. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 105928/9976368. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 105929/9976440. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 105930/9976449. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a b)(a b))) REDUCED to normal form. ------ 105931/9976476. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 105932/9976530. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105933/9976575. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 105934/9976584. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 105935/9976611. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 105936/9976638. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 105937/9976782. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b ((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(^z.z)))) 7. ==[ beta ]==> ((^y.y)(b ((a a)(^z.z)))) 8. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 9. ==[ beta ]==> (b ((a a)(^y.y))) 10. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 105938/9976809. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (b a))) REDUCED to normal form. ------ 105939/9976836. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) 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))) REDUCED to normal form. ------ 105940/9976863. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 105941/9976890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a b) a)) REDUCED to normal form. ------ 105942/9976917. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 105943/9977088. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 105944/9977151. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 105945/9977196. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 105946/9977259. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a b))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 105947/9977277. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 105948/9977286. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 105949/9977340. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 105950/9977358. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (b (((^y.y)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 105951/9977367. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 105952/9977394. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 105953/9977538. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))(b ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))(b (a a))) REDUCED to normal form. ------ 105954/9977565. ------ 1. ==[ start ]==> (((a (a a))(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 105955/9977592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 105956/9977619. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 105957/9977646. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 105958/9977673. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a (a a)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a (a a)))) 9. ==[ beta ]==> (((a a) a)(a (a a))) REDUCED to normal form. ------ 105959/9977700. ------ 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)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 105960/9977754. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a b))) REDUCED to normal form. ------ 105961/9977844. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 105962/9977925. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 105963/9978033. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105964/9978042. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 105965/9978060. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 105966/9978069. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 105967/9978087. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 105968/9978150. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 105969/9978177. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 105970/9978231. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 105971/9978375. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 105972/9978402. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 105973/9978429. ------ 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. ------ 105974/9978636. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105975/9978681. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 105976/9978843. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) a)) 3. ==[ beta ]==> (b ((^z.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 105977/9978960. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 105978/9978987. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.a))) 3. ==[ beta ]==> ((b a)(b (^y.a))) 4. ==[ alpha ]==> ((b a)(b (^x.a))) REDUCED to normal form. ------ 105979/9979014. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 105980/9979032. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 105981/9979086. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 105982/9979122. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 105983/9979149. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 105984/9979167. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.a))) 3. ==[ beta ]==> (b ((a a)(^y.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 105985/9979176. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 105986/9979203. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 105987/9979230. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 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. ------ 105988/9979284. ------ 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 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 105989/9979311. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 105990/9979347. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a ((a a) a))) 3. ==[ beta ]==> (((a a) b)(a ((a a) a))) REDUCED to normal form. ------ 105991/9979374. ------ 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))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 105992/9979401. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b 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. ------ 105993/9979428. ------ 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) a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 105994/9979455. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (a a)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 105995/9979482. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 105996/9979707. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) c)) 5. ==[ beta ]==> (((^y.y) a) c) 6. ==[ alpha ]==> (((^x.x) a) c) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 105997/9979842. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 105998/9979950. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 105999/9979986. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 106000/9980013. ------ 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. ------ 106001/9980031. ------ 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. ------ 106002/9980058. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) b)) 5. ==[ beta ]==> (((^y.y) a) b) 6. ==[ alpha ]==> (((^x.x) a) b) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 106003/9980067. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 106004/9980094. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 106005/9980175. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 106006/9980193. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106007/9980202. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 106008/9980256. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 106009/9980301. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106010/9980310. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 106011/9980337. ------ 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))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 106012/9980364. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 106013/9980400. ------ 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. ------ 106014/9980427. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a a))) REDUCED to normal form. ------ 106015/9980454. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 106016/9980481. ------ 1. ==[ start ]==> (((a (a a))(b a))(c a)) REDUCED to normal form. ------ 106017/9980508. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b b)) 5. ==[ beta ]==> (((a a)(^y.y))(b b)) 6. ==[ alpha ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 106018/9980562. ------ 1. ==[ start ]==> (((a b)(a b))(b (a a))) REDUCED to normal form. ------ 106019/9980589. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (a (^x.x)))) REDUCED to normal form. ------ 106020/9980616. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 106021/9980670. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 106022/9980697. ------ 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))) REDUCED to normal form. ------ 106023/9980724. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a a)) REDUCED to normal form. ------ 106024/9988461. ------ 1. ==[ start ]==> ((((a a)(a a))(a a)) b) REDUCED to normal form. ------ 106025/9988485. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106026/9988566. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106027/9988728. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(b a))) 3. ==[ beta ]==> (^y.((a (a a))(b a))) 4. ==[ alpha ]==> (^x.((a (a a))(b a))) REDUCED to normal form. ------ 106028/9988800. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b (^z.(a a)))) 3. ==[ eta ]==> ((^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. ------ 106029/9988812. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)(^y.((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 106030/9989070. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))(((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.(^y1.y1))((a a)(^z1.z1)))((^x2.(^y2.y2))((a a)(^z2.z2))))) 5. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))((a a)(^z1.z1)))((^x2.(^y2.y2))((a a)(^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2))))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106031/9989421. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106032/9989853. ------ 1. ==[ start ]==> ((^a.((a a) a))(b (^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))(b (^y.y))) 3. ==[ beta ]==> (((b (^y.y))(b (^y.y)))(b (^y.y))) 4. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))(b (^z.z))) REDUCED to normal form. ------ 106033/9990207. ------ 1. ==[ start ]==> (((a a)((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 106034/9990366. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((^y.b)(^z.a)) b) 4. ==[ alpha ]==> (((^x.b)(^y.a)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 106035/9990540. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 106036/9990753. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(((a (a a))((^z.z)(a a)))((a (a a))((^z.z)(a a))))) 4. ==[ alpha ]==> (^x.(((a (a a))((^y.y)(a a)))((a (a a))((^z.z)(a a))))) 5. ==[ beta ]==> (^x.(((a (a a))(a a))((a (a a))((^z.z)(a a))))) 6. ==[ alpha ]==> (^x.(((a (a a))(a a))((a (a a))((^y.y)(a a))))) 7. ==[ beta ]==> (^x.(((a (a a))(a a))((a (a a))(a a)))) REDUCED to normal form. ------ 106037/9990855. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 106038/9990960. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(a (a a)))((^z.(a a))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(a (a a)))((^z.(a a))(a (a a))))) 5. ==[ beta ]==> (((^y.(a a))(a (a a)))((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.(a a))(a (a a)))((^y.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 106039/9991143. ------ 1. ==[ start ]==> (((a b) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 106040/9991449. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 106041/9992007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106042/9993042. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106043/9993831. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106044/9993933. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 106045/9994113. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106046/9994122. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(a z))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 106047/9994146. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106048/9994320. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z b))) 3. ==[ beta ]==> (b (^z.(z b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 106049/9994482. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.((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. ------ 106050/9994653. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 106051/9994824. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 106052/9994986. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 106053/9995121. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.((^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. ------ 106054/9995145. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))(((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1)))(((^x2.(^y2.y2))(^z2.z2))((^x3.(^y3.y3))(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.z1)))(((^x2.(^y2.y2))(^z2.z2))((^x3.(^y3.y3))(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.x1)))(((^y1.(^z1.z1))(^x2.x2))((^y2.(^z2.z2))(^x3.x3)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))(((^y1.(^z1.z1))(^x2.x2))((^y2.(^z2.z2))(^x3.x3)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(^z1.z1))((^x2.(^y2.y2))(^z2.z2)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2)))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106055/9995787. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.a))) REDUCED to normal form. ------ 106056/9995877. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.a))) REDUCED to normal form. ------ 106057/9995958. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.x))) REDUCED to normal form. ------ 106058/9996012. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 106059/9996066. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106060/9996147. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a a))) REDUCED to normal form. ------ 106061/9996174. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 106062/9996201. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 106063/9996231. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 106064/9996258. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 106065/9996267. ------ 1. ==[ start ]==> (((a a) a)((^b.b) c)) 2. ==[ alpha ]==> (((a a) a)((^x.x) c)) 3. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 106066/9996285. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 106067/9996312. ------ 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. ------ 106068/9996366. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106069/9996393. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 106070/9996420. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 106071/9996447. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 106072/9996474. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(b a))) REDUCED to normal form. ------ 106073/9996546. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 106074/9996555. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)((a a)((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 106075/9996591. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 106076/9996618. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 106077/9996645. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 106078/9996672. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 106079/9996699. ------ 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. ------ 106080/9996735. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 106081/9996762. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 106082/9996816. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.y)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 106083/9996888. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 106084/9996942. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 106085/9996969. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b b)) REDUCED to normal form. ------ 106086/9997086. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 106087/9997113. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 106088/9997167. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 106089/9997257. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)(b ((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 106090/9997311. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 7. ==[ beta ]==> (((^y.y) b)(a a)) 8. ==[ alpha ]==> (((^x.x) b)(a a)) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 106091/9997320. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 106092/9997338. ------ 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.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 106093/9997392. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 106094/9997599. ------ 1. ==[ start ]==> ((a ((a a) a))(b (^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))(b (^x.x))) REDUCED to normal form. ------ 106095/9997725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (((a a)(^y.y))(^z.(z z)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 106096/9997752. ------ 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. ------ 106097/9997806. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(^x1.b))) REDUCED to normal form. ------ 106098/9997833. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))(^z.(a a))) 8. ==[ alpha ]==> ((a (^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 106099/9997860. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 106100/9997914. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 106101/9997950. ------ 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))((^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. ------ 106102/9997977. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b)(^a.a))) 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. ------ 106103/9998004. ------ 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.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 106104/9998085. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 106105/9998112. ------ 1. ==[ start ]==> ((a (a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)(^y.a))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 106106/9998283. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> (b (a ((^z.z) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 106107/9998292. ------ 1. ==[ start ]==> (((a b) a)((^b.b) a)) 2. ==[ alpha ]==> (((a b) a)((^x.x) a)) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 106108/9998310. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((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))) REDUCED to normal form. ------ 106109/9998319. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 106110/9998337. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 106111/9998373. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1)) d)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 106112/9998391. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 106113/9998472. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 106114/9998499. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 106115/9998571. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 106116/9998598. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(a (^x.x))) REDUCED to normal form. ------ 106117/9998625. ------ 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)))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a a))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a a))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 106118/9998670. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 106119/9998679. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 106120/9998706. ------ 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 (a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 106121/9998886. ------ 1. ==[ start ]==> (((a b) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 106122/9998913. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 106123/9998940. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a) b)) REDUCED to normal form. ------ 106124/9998967. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 106125/9999192. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 106126/9999417. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 106127/9999561. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.a))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.a))) REDUCED to normal form. ------ 106128/9999588. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.(x x)))) REDUCED to normal form. ------ 106129/9999615. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 106130/9999669. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.b))) REDUCED to normal form. ------ 106131/9999696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 106132/9999777. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 106133/9999804. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 106134/9999921. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 106135/9999948. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((a (a b))((^y.b)(^y.b))) 6. ==[ alpha ]==> ((a (a b))((^x.b)(^y.b))) 7. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 106136/9999975. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 106137/10000227. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(a b))) 5. ==[ beta ]==> (b (((^z.z) a)(a b))) 6. ==[ alpha ]==> (b (((^x.x) a)(a b))) 7. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 106138/10000371. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.a))) REDUCED to normal form. ------ 106139/10000479. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.b))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 106140/10000506. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 106141/10000560. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 106142/10000587. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 106143/10000614. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b) c)) 3. ==[ beta ]==> (((a a)(^y.a))((a b) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((a b) c)) REDUCED to normal form. ------ 106144/10000704. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a a)(b a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 106145/10000731. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 106146/10000758. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 106147/10000785. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.a)(^c.(^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. ------ 106148/10000983. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106149/10001262. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 106150/10001289. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b) b)) REDUCED to normal form. ------ 106151/10001442. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 106152/10001478. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 106153/10001505. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 106154/10001550. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) 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. ------ 106155/10001577. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 106156/10001622. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.a))) REDUCED to normal form. ------ 106157/10001649. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (^z.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.b))) REDUCED to normal form. ------ 106158/10001676. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a (^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(a a)))) REDUCED to normal form. ------ 106159/10001703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a a))) 5. ==[ beta ]==> ((a b)((^y.b)(a a))) 6. ==[ alpha ]==> ((a b)((^x.b)(a a))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 106160/10001757. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 106161/10001784. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 106162/10001811. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 106163/10001856. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 106164/10001865. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a b)) REDUCED to normal form. ------ 106165/10001892. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.y))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 106166/10002063. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 106167/10002171. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106168/10002225. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((a a) a))) 5. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 106169/10002261. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.y1))) REDUCED to normal form. ------ 106170/10002342. ------ 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) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106171/10002369. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 106172/10002396. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 106173/10002423. ------ 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. ------ 106174/10002450. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 106175/10002567. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) b)(^y.a)) 6. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 106176/10002702. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 106177/10002729. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.a))) REDUCED to normal form. ------ 106178/10002756. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 106179/10002783. ------ 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 y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 106180/10002837. ------ 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.(^y1.y1))(a (a 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. ------ 106181/10002864. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((b (a a))(^y.y)) 8. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 106182/10002891. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(^a.a))) 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. ------ 106183/10003062. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 106184/10003206. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 106185/10003233. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 106186/10003287. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 106187/10003332. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b ((^y.y) a))) 3. ==[ beta ]==> (((b a)(b a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((b a)(b a))(b ((^x.x) a))) 5. ==[ beta ]==> (((b a)(b a))(b a)) REDUCED to normal form. ------ 106188/10003395. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 106189/10003413. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 106190/10003422. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 106191/10003476. ------ 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. ------ 106192/10003521. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106193/10003530. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.a))) REDUCED to normal form. ------ 106194/10003557. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a) a)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106195/10003584. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 106196/10003620. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.a)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 106197/10003647. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 106198/10003674. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^a.(^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. ------ 106199/10003701. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.a))) REDUCED to normal form. ------ 106200/10003728. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 106201/10003755. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 106202/10003782. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 106203/10003809. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 106204/10003836. ------ 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)(^x.x))(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 106205/10003890. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 106206/10003917. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 106207/10003944. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 106208/10011768. ------ 1. ==[ start ]==> ((^a.b)((^b.b) c)) 2. ==[ alpha ]==> ((^x.b)((^y.y) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 106209/10012428. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 106210/10012788. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y) a)(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.((y y)(y y)))) 5. ==[ beta ]==> (a (^y.((y y)(y y)))) 6. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 106211/10013130. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 106212/10013424. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 106213/10013778. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 106214/10013787. ------ 1. ==[ start ]==> (((a b) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 106215/10014198. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(^x1.(x1 x1)))(((^z.z)(a a))(^x1.(x1 x1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1))))) 5. ==[ beta ]==> ((((^y.y)(a a))(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(z z)))) 10. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 106216/10016178. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 106217/10016748. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106218/10016973. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 106219/10017384. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106220/10017558. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 106221/10017729. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 106222/10017747. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 106223/10018359. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^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. ------ 106224/10018383. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((((^y.y)(^z.z)) a)(((^y.y)(^z.z)) a))((((^y.y)(^z.z)) a)(((^y.y)(^z.z)) a))) 4. ==[ alpha ]==> (((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a))((((^y1.y1)(^z1.z1)) a)(((^x2.x2)(^y2.y2)) a))) 5. ==[ beta ]==> ((((^y.y) a)(((^z.z)(^x1.x1)) a))((((^y1.y1)(^z1.z1)) a)(((^x2.x2)(^y2.y2)) a))) 6. ==[ alpha ]==> ((((^x.x) a)(((^y.y)(^z.z)) a))((((^x1.x1)(^y1.y1)) a)(((^z1.z1)(^x2.x2)) a))) 7. ==[ beta ]==> ((a (((^y.y)(^z.z)) a))((((^x1.x1)(^y1.y1)) a)(((^z1.z1)(^x2.x2)) a))) 8. ==[ alpha ]==> ((a (((^x.x)(^y.y)) a))((((^z.z)(^x1.x1)) a)(((^y1.y1)(^z1.z1)) a))) 9. ==[ beta ]==> ((a ((^y.y) a))((((^z.z)(^x1.x1)) a)(((^y1.y1)(^z1.z1)) a))) 10. ==[ alpha ]==> ((a ((^x.x) a))((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 11. ==[ beta ]==> ((a a)((((^y.y)(^z.z)) a)(((^x1.x1)(^y1.y1)) a))) 12. ==[ alpha ]==> ((a a)((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1)) a))) 13. ==[ beta ]==> ((a a)(((^y.y) a)(((^z.z)(^x1.x1)) a))) 14. ==[ alpha ]==> ((a a)(((^x.x) a)(((^y.y)(^z.z)) a))) 15. ==[ beta ]==> ((a a)(a (((^y.y)(^z.z)) a))) 16. ==[ alpha ]==> ((a a)(a (((^x.x)(^y.y)) a))) 17. ==[ beta ]==> ((a a)(a ((^y.y) a))) 18. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 19. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 106225/10018746. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 106226/10019196. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.c)) REDUCED to normal form. ------ 106227/10019412. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.a)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 106228/10019439. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.a)) REDUCED to normal form. ------ 106229/10019462. ------ 1. ==[ start ]==> (^a.(^a.(b (^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(b (^z.z)))) REDUCED to normal form. ------ 106230/10019463. ------ 1. ==[ start ]==> (a (^a.(b (^a.a)))) 2. ==[ alpha ]==> (a (^x.(b (^y.y)))) REDUCED to normal form. ------ 106231/10019487. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(a a))) 3. ==[ beta ]==> (a (((a a)(a a))(a a))) REDUCED to normal form. ------ 106232/10019514. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(b (a (^x.x)))) REDUCED to normal form. ------ 106233/10019523. ------ 1. ==[ start ]==> ((a b)((^b.b) c)) 2. ==[ alpha ]==> ((a b)((^x.x) c)) 3. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 106234/10019541. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 106235/10019568. ------ 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. ------ 106236/10019595. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(^z.z))((^x1.x1)(^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. ------ 106237/10019622. ------ 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. ------ 106238/10019649. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 106239/10019676. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 106240/10019703. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 106241/10019757. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 106242/10019802. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.a)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)(b (^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 106243/10019883. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 106244/10019910. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^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. ------ 106245/10020009. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 106246/10020036. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 106247/10020072. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106248/10020099. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 106249/10020153. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106250/10020180. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 106251/10020261. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 106252/10020423. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106253/10020504. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106254/10020513. ------ 1. ==[ start ]==> (((a (a a)) b)(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)(b ((^x.x) b))) 3. ==[ beta ]==> (((a (a a)) b)(b b)) REDUCED to normal form. ------ 106255/10020540. ------ 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. ------ 106256/10020567. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 106257/10020594. ------ 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.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 106258/10020621. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.a))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.a))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.a))((b a) a)) REDUCED to normal form. ------ 106259/10020648. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 106260/10020675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 106261/10020882. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 106262/10020936. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 106263/10021017. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 106264/10021044. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106265/10021098. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 106266/10021179. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 106267/10021197. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 106268/10021224. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) a)) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 106269/10021251. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 106270/10021278. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a) c)) 3. ==[ beta ]==> (((a (a a)) a)((b a) c)) REDUCED to normal form. ------ 106271/10021368. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.b)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.b)((^y.b)(^z.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106272/10021512. ------ 1. ==[ start ]==> ((((a a) a) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 106273/10021530. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106274/10021539. ------ 1. ==[ start ]==> (((a b) a)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(a ((^x.x) b))) 3. ==[ beta ]==> (((a b) a)(a b)) REDUCED to normal form. ------ 106275/10021566. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 106276/10021620. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 106277/10021647. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(a (a a)))) REDUCED to normal form. ------ 106278/10021674. ------ 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 REDUCED to normal form. ------ 106279/10021701. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 106280/10021728. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a b))) 5. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 106281/10021872. ------ 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.(^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))) REDUCED to normal form. ------ 106282/10021899. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 106283/10021926. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 106284/10021953. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 106285/10021962. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106286/10021989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106287/10022043. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 7. ==[ beta ]==> ((^y.(^z.z))(a b)) 8. ==[ alpha ]==> ((^x.(^y.y))(a b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106288/10022124. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106289/10022178. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 106290/10022259. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(z z)))) 11. ==[ beta ]==> ((^y.(a a))(^z.(z z))) 12. ==[ alpha ]==> ((^x.(a a))(^y.(y y))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106291/10022340. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106292/10022466. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 106293/10022565. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 106294/10022799. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^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. ------ 106295/10022907. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106296/10022961. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 106297/10023357. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 106298/10023663. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 106299/10023690. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106300/10023744. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a b))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 106301/10023825. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106302/10023933. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 106303/10024086. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 106304/10024113. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b) c)) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 106305/10024212. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106306/10024311. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a a)((^z.(a a))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 106307/10024392. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106308/10024500. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1)(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. ------ 106309/10024527. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106310/10024554. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106311/10024608. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 106312/10024689. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 106313/10024698. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a b))) REDUCED to normal form. ------ 106314/10024725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 106315/10024752. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(a a))) REDUCED to normal form. ------ 106316/10024806. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 106317/10024950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.y))) 5. ==[ beta ]==> ((a b)((a b)(^y.y))) 6. ==[ alpha ]==> ((a b)((a b)(^x.x))) REDUCED to normal form. ------ 106318/10024977. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 106319/10025004. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.a)) REDUCED to normal form. ------ 106320/10025031. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 106321/10025058. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) 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. ------ 106322/10025112. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.b))) REDUCED to normal form. ------ 106323/10025139. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b) a)) 3. ==[ beta ]==> ((a b)((a b) a)) REDUCED to normal form. ------ 106324/10025148. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106325/10025310. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.b))) 3. ==[ beta ]==> (b ((^z.z)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 106326/10025427. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a (a a)))) REDUCED to normal form. ------ 106327/10025454. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 106328/10025472. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.a))) 5. ==[ beta ]==> (b (b (^y.a))) 6. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 106329/10025481. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 106330/10025499. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.b))) 3. ==[ beta ]==> ((^y.y)(a (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 106331/10025553. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 106332/10025634. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106333/10025742. ------ 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 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106334/10025778. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(c (a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(c (a (a a)))) REDUCED to normal form. ------ 106335/10025868. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 106336/10026003. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.x1))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 106337/10026030. ------ 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 a))(^y.(^z.z)))) REDUCED to normal form. ------ 106338/10026084. ------ 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 y1)))) REDUCED to normal form. ------ 106339/10026111. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 106340/10026138. ------ 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. ------ 106341/10026174. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106342/10026417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106343/10026453. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(c c)) 3. ==[ beta ]==> ((b b)(c c)) REDUCED to normal form. ------ 106344/10026498. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 106345/10026525. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((^y.(y y))(^z.z)) 6. ==[ alpha ]==> ((^x.(x x))(^y.y)) 7. ==[ beta ]==> ((^y.y)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106346/10026579. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 106347/10026642. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 106348/10026660. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 106349/10026669. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 106350/10026768. ------ 1. ==[ start ]==> (((^a.(^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 (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106351/10026777. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b c)) REDUCED to normal form. ------ 106352/10026894. ------ 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)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 106353/10026921. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^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. ------ 106354/10026948. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x) c)) 3. ==[ beta ]==> (((a (a a))(b a)) c) REDUCED to normal form. ------ 106355/10026975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 106356/10027002. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 106357/10027029. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 106358/10027056. ------ 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. ------ 106359/10027083. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 106360/10027137. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.z))) REDUCED to normal form. ------ 106361/10027164. ------ 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)) REDUCED to normal form. ------ 106362/10027191. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 106363/10027215. ------ 1. ==[ start ]==> ((^a.(b (^a.a))) a) 2. ==[ alpha ]==> ((^x.(b (^y.y))) a) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106364/10027217. ------ 1. ==[ start ]==> (^a.(a (b (^a.a)))) 2. ==[ alpha ]==> (^x.(x (b (^y.y)))) REDUCED to normal form. ------ 106365/10027218. ------ 1. ==[ start ]==> (a (a (b (^a.a)))) 2. ==[ alpha ]==> (a (a (b (^x.x)))) REDUCED to normal form. ------ 106366/10027221. ------ 1. ==[ start ]==> ((^a.a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 3. ==[ beta ]==> (^y.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 106367/10034970. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106368/10034973. ------ 1. ==[ start ]==> ((a (b (^a.a))) a) 2. ==[ alpha ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 106369/10034979. ------ 1. ==[ start ]==> ((^a.a)(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 3. ==[ beta ]==> (a (b (^y.y))) 4. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 106370/10034982. ------ 1. ==[ start ]==> ((a a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 106371/10035006. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 106372/10035033. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 106373/10035114. ------ 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 ]==> ((((a a)(^z.z))((^x1.x1)(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 106374/10035303. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.z))((^x1.x1) b))) 3. ==[ eta ]==> ((^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. ------ 106375/10035474. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 106376/10035702. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 106377/10036053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(a a)))) 5. ==[ beta ]==> (a (^y.(^z.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 106378/10036356. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a (^y.y))(a (^z.(^x1.x1))))((a (^y.y))(a (^z.(^x1.x1)))))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.(^z1.z1)))))((a (^x2.x2))(a (^y2.(^z2.z2))))) REDUCED to normal form. ------ 106379/10036689. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 106380/10037052. ------ 1. ==[ start ]==> (((a b) a)(^b.(^b.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 106381/10037673. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 106382/10037979. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 106383/10038138. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))((a a) a))(((^z.z)(^x1.x1))((a a) a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((a a) a)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)((a a) a))(((^z.z)(^x1.x1))((a a) a)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x)((a a) a))(((^y.y)(^z.z))((a a) a)))(^x1.x1)) 7. ==[ beta ]==> ((((a a) a)(((^y.y)(^z.z))((a a) a)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a) a)(((^x.x)(^y.y))((a a) a)))(^z.z)) 9. ==[ beta ]==> ((((a a) a)((^y.y)((a a) a)))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)((^x.x)((a a) a)))(^y.y)) 11. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 12. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 106384/10038537. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 106385/10038816. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(b y))) 3. ==[ eta ]==> (((a b)((^x.x) a)) b) 4. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 106386/10038894. ------ 1. ==[ start ]==> ((^a.(b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((a b)((^y.y) a))) 3. ==[ eta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 106387/10039320. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 106388/10039572. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 106389/10039731. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((((^x1.x1) a)((a a) a))(^y.(^z.z))) 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. ------ 106390/10040022. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(a a))) REDUCED to normal form. ------ 106391/10040238. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 106392/10041021. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.b))) REDUCED to normal form. ------ 106393/10041183. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 106394/10041354. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 106395/10041489. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 106396/10042236. ------ 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 y1)))) REDUCED to normal form. ------ 106397/10042317. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.((^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)))(^z.a)) REDUCED to normal form. ------ 106398/10042407. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((a (^x.x))((^y.y) b))(^x1.x1)) 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. ------ 106399/10042461. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 106400/10042542. ------ 1. ==[ start ]==> (((a b)(a b))(^a.c)) 2. ==[ alpha ]==> (((a b)(a b))(^x.c)) REDUCED to normal form. ------ 106401/10042596. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 106402/10042677. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.b)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 106403/10042704. ------ 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. ------ 106404/10042728. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106405/10042731. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 106406/10042743. ------ 1. ==[ start ]==> ((a a)(a (b (^a.a)))) 2. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 106407/10042770. ------ 1. ==[ start ]==> ((a (a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 106408/10042797. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> ((a b)(b (a (^y.y)))) 4. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 106409/10042806. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y) c)) 3. ==[ beta ]==> ((a a)((^y.y) c)) 4. ==[ alpha ]==> ((a a)((^x.x) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 106410/10042851. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(a (a a)))) REDUCED to normal form. ------ 106411/10042878. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 106412/10043013. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(b a))) REDUCED to normal form. ------ 106413/10043040. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 106414/10043067. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 106415/10043157. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> (a (b (^y.(^z.z)))) 8. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 106416/10043166. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 106417/10043184. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 106418/10043193. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 106419/10043238. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 106420/10043409. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 106421/10043427. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))(^x1.x1))) 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)) REDUCED to normal form. ------ 106422/10043436. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 106423/10043463. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 106424/10043481. ------ 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)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 106425/10043490. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 106426/10043517. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 106427/10043544. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^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. ------ 106428/10043652. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(^z.b))) 3. ==[ beta ]==> ((b b)((^y.b)(^z.b))) 4. ==[ alpha ]==> ((b b)((^x.b)(^y.b))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 106429/10043787. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 106430/10043859. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106431/10043985. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 106432/10044012. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 106433/10044039. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 106434/10044066. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 106435/10044093. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 7. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 106436/10044120. ------ 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))))) REDUCED to normal form. ------ 106437/10044210. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 106438/10044291. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 106439/10044318. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 106440/10044327. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 106441/10044372. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(a a)))) 11. ==[ beta ]==> ((a a)(^y.(a a))) 12. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 106442/10044381. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 106443/10044408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106444/10044435. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 106445/10044453. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 106446/10044624. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 106447/10044786. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 106448/10044813. ------ 1. ==[ start ]==> (((a b) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 106449/10044831. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y) a)) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 106450/10044858. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106451/10045038. ------ 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. ------ 106452/10045065. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 106453/10045092. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(b a))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(b a))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 106454/10045119. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 106455/10045236. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106456/10045263. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 106457/10045317. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 9. ==[ beta ]==> ((^y.y)(^z.b)) 10. ==[ alpha ]==> ((^x.x)(^y.b)) 11. ==[ beta ]==> (^y.b) 12. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 106458/10045407. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 106459/10045434. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 106460/10045452. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 106461/10045461. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 106462/10045479. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 106463/10045542. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106464/10045569. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((^y.b)(^z.(^x1.x1)))((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 9. ==[ beta ]==> (b ((^x1.b)(^y1.(^z1.z1)))) 10. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 106465/10045596. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 106466/10045623. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 106467/10045650. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 106468/10045713. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (b a))) REDUCED to normal form. ------ 106469/10045740. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a ((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 106470/10045767. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(a a))) REDUCED to normal form. ------ 106471/10045794. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 106472/10045821. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x) a))) 7. ==[ beta ]==> ((((a a) a) a)((a a) a)) REDUCED to normal form. ------ 106473/10045848. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 106474/10045875. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 106475/10045902. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 106476/10046073. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 106477/10046082. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 106478/10046109. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 106479/10046136. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 106480/10046154. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 106481/10046190. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 106482/10046217. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.b))((a b)(a b))) REDUCED to normal form. ------ 106483/10046235. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 106484/10046271. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106485/10046298. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(b a)) REDUCED to normal form. ------ 106486/10046316. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 106487/10046379. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 106488/10046550. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 106489/10046577. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (b a))) 3. ==[ beta ]==> (((a b) a)(a (b a))) REDUCED to normal form. ------ 106490/10046604. ------ 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))(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))) REDUCED to normal form. ------ 106491/10046631. ------ 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))(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. ------ 106492/10046658. ------ 1. ==[ start ]==> ((a (b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((a b)((^x.x) a))) 3. ==[ beta ]==> ((a (b a))((a b) a)) REDUCED to normal form. ------ 106493/10046892. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 106494/10046937. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 106495/10046964. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106496/10047000. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 106497/10047018. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.b))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.b))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.b))) REDUCED to normal form. ------ 106498/10047027. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 106499/10047081. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 106500/10047099. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y)) a)) 3. ==[ beta ]==> (b (((a a)(^y.y)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 106501/10047108. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 106502/10047135. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 106503/10047162. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 106504/10047306. ------ 1. ==[ start ]==> (((a (a a))(a b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(b (a a))) REDUCED to normal form. ------ 106505/10047333. ------ 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. ------ 106506/10047360. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 106507/10047387. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)(a (^x.x)))) REDUCED to normal form. ------ 106508/10047414. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)(((a a) a) a)) REDUCED to normal form. ------ 106509/10047441. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a a))) REDUCED to normal form. ------ 106510/10047495. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a ((a a) a))) REDUCED to normal form. ------ 106511/10047585. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 106512/10047666. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 106513/10047774. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106514/10047783. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 106515/10047801. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 106516/10047810. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 106517/10047828. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 106518/10047891. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 106519/10047918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106520/10047972. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 106521/10047999. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 106522/10048116. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 106523/10048143. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.y))) REDUCED to normal form. ------ 106524/10048170. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 106525/10048197. ------ 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. ------ 106526/10048377. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 106527/10048422. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 106528/10048449. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 106529/10048728. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 106530/10048755. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 106531/10048782. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.b))) REDUCED to normal form. ------ 106532/10048827. ------ 1. ==[ start ]==> (((^a.(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))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 106533/10048863. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106534/10048890. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 106535/10048908. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 106536/10048917. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 106537/10048944. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 106538/10049025. ------ 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 y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.a)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 106539/10049052. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 106540/10049088. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(b (^y.y))) 6. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 106541/10049115. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 106542/10049142. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((a (b a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 106543/10049169. ------ 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 a))(a (^y.y)))) REDUCED to normal form. ------ 106544/10049196. ------ 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) a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 9. ==[ beta ]==> ((a a)(a ((^y.y) a))) 10. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 106545/10049223. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 106546/10049250. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 106547/10049448. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 106548/10049583. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) b)) 3. ==[ beta ]==> (b ((^z.(z z)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 106549/10049691. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 106550/10049727. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 106551/10049754. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 106552/10049772. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 106553/10049799. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 106554/10049808. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^x1.x1))) 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. ------ 106555/10049835. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 106556/10049853. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y)) c)) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y)) c)) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x)) c)) REDUCED to normal form. ------ 106557/10049934. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106558/10049943. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 106559/10049997. ------ 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 x1)))) REDUCED to normal form. ------ 106560/10050042. ------ 1. ==[ start ]==> (((^a.(^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.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106561/10050051. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(a (^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. ------ 106562/10050078. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 106563/10050105. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 106564/10050141. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 106565/10050168. ------ 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 (^x.x)) b)(a ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 106566/10050195. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 106567/10050222. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 106568/10050276. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b b)) 3. ==[ beta ]==> ((((a a) a)(a a))(b b)) REDUCED to normal form. ------ 106569/10050303. ------ 1. ==[ start ]==> (((a b)(a b))(a c)) REDUCED to normal form. ------ 106570/10050330. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (a a))) 3. ==[ beta ]==> (((a a)((a a) a))(b (a a))) REDUCED to normal form. ------ 106571/10050357. ------ 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)))) REDUCED to normal form. ------ 106572/10050411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b a)) REDUCED to normal form. ------ 106573/10050438. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a b)) 3. ==[ beta ]==> ((b (a (^y.y)))(a b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(a b)) REDUCED to normal form. ------ 106574/10050465. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (a a))) REDUCED to normal form. ------ 106575/10050489. ------ 1. ==[ start ]==> ((^a.(b (^a.a))) b) 2. ==[ alpha ]==> ((^x.(b (^y.y))) b) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106576/10050492. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 106577/10050513. ------ 1. ==[ start ]==> ((^a.(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106578/10056174. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(a z))) 3. ==[ eta ]==> ((^x.((^y.y) b)) a) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 106579/10057173. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1))))((^y.((^z.z)(^x1.x1)))(^y.((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1))))((^x2.((^y2.y2)(^z2.z2)))(^x3.((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x2.((^y2.y2)(^z2.z2)))(^x3.((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.((^x1.x1)(^y1.y1)))(^z1.((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> ((^y.y)((^z.((^x1.x1)(^y1.y1)))(^z1.((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> ((^x.x)((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> ((^y.((^z.z)(^x1.x1)))(^y1.((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106580/10058253. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106581/10058256. ------ 1. ==[ start ]==> ((a (b (^a.a))) b) 2. ==[ alpha ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 106582/10058280. ------ 1. ==[ start ]==> ((^a.(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (b (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106583/10058283. ------ 1. ==[ start ]==> ((a (^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 106584/10058361. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106585/10058523. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (^x.((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (^x.((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (^x.((a a)(^z.z))) 8. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 106586/10059363. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 7. ==[ beta ]==> (^y.((y y)(y y))) 8. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 106587/10059687. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 106588/10060029. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.x))((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 106589/10060161. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 106590/10060362. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 106591/10060548. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(a b))(((^z.z)(^x1.x1))(a b)))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(a b))(((^x1.x1)(^y1.y1))(a b)))) 5. ==[ beta ]==> (^x.(((^z.z)(a b))(((^x1.x1)(^y1.y1))(a b)))) 6. ==[ alpha ]==> (^x.(((^y.y)(a b))(((^z.z)(^x1.x1))(a b)))) 7. ==[ beta ]==> (^x.((a b)(((^z.z)(^x1.x1))(a b)))) 8. ==[ alpha ]==> (^x.((a b)(((^y.y)(^z.z))(a b)))) 9. ==[ beta ]==> (^x.((a b)((^z.z)(a b)))) 10. ==[ alpha ]==> (^x.((a b)((^y.y)(a b)))) 11. ==[ beta ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 106592/10060677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 106593/10061271. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(^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. ------ 106594/10062360. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.((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. ------ 106595/10062612. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 106596/10062864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106597/10063626. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106598/10063755. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(y y)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 106599/10063941. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106600/10063944. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a y))) 3. ==[ eta ]==> ((a ((^x.x) b)) a) 4. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 106601/10064115. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.((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. ------ 106602/10064475. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^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. ------ 106603/10064646. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 106604/10064940. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)((^z.z)(^x1.x1)))((^y.y)((^z.z)(^x1.x1))))(((^y.y)((^z.z)(^x1.x1)))((^y.y)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1))))(((^x2.x2)((^y2.y2)(^z2.z2)))((^x3.x3)((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1))))(((^x2.x2)((^y2.y2)(^z2.z2)))((^x3.x3)((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1))))(((^z1.z1)((^x2.x2)(^y2.y2)))((^z2.z2)((^x3.x3)(^y3.y3))))) 7. ==[ beta ]==> (((^y.y)((^z.z)((^x1.x1)(^y1.y1))))(((^z1.z1)((^x2.x2)(^y2.y2)))((^z2.z2)((^x3.x3)(^y3.y3))))) 8. ==[ alpha ]==> (((^x.x)((^y.y)((^z.z)(^x1.x1))))(((^y1.y1)((^z1.z1)(^x2.x2)))((^y2.y2)((^z2.z2)(^x3.x3))))) 9. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)((^z1.z1)(^x2.x2)))((^y2.y2)((^z2.z2)(^x3.x3))))) 10. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)((^y1.y1)(^z1.z1)))((^x2.x2)((^y2.y2)(^z2.z2))))) 11. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)((^y1.y1)(^z1.z1)))((^x2.x2)((^y2.y2)(^z2.z2))))) 12. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)((^x1.x1)(^y1.y1)))((^z1.z1)((^x2.x2)(^y2.y2))))) 13. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1)(^y1.y1)))((^z1.z1)((^x2.x2)(^y2.y2))))) 14. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2))))) 15. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)((^z1.z1)(^x2.x2)))) 16. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 17. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 18. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 19. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(^y1.y1)))) 20. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 21. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 22. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 23. ==[ beta ]==> ((^y.y)(^z.z)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106605/10064943. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^x.(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 106606/10065609. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 106607/10065699. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 106608/10065780. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 106609/10065834. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 106610/10065888. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 106611/10065942. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 106612/10065969. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 106613/10065996. ------ 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. ------ 106614/10066020. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106615/10066023. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 106616/10066053. ------ 1. ==[ start ]==> ((a (^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 106617/10066080. ------ 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. ------ 106618/10066107. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 106619/10066116. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 106620/10066134. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 106621/10066188. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106622/10066215. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 106623/10066242. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 106624/10066269. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 106625/10066296. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 106626/10066377. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 106627/10066404. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 106628/10066440. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 106629/10066467. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 106630/10066494. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) REDUCED to normal form. ------ 106631/10066521. ------ 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. ------ 106632/10066584. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 106633/10066611. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 106634/10066629. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 106635/10066710. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 106636/10066737. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 106637/10066791. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a)) a)) REDUCED to normal form. ------ 106638/10066818. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 106639/10066935. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))(^c.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. ------ 106640/10066962. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 106641/10067133. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 106642/10067142. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106643/10067160. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 106644/10067169. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 106645/10067196. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 106646/10067214. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a) a)) REDUCED to normal form. ------ 106647/10067457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 106648/10067547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.x) b)((b a)(^y.a))) 5. ==[ beta ]==> (b ((b a)(^y.a))) 6. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 106649/10067574. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 106650/10067628. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(^x1.a))) REDUCED to normal form. ------ 106651/10067655. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 106652/10067682. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))(^z.(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 106653/10067772. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 106654/10067799. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 7. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 106655/10067826. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 106656/10067853. ------ 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.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 106657/10067934. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 106658/10068105. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 106659/10068132. ------ 1. ==[ start ]==> (((^a.a)(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(a ((^y.y) b))) 3. ==[ beta ]==> ((a b)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 106660/10068141. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 106661/10068159. ------ 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)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106662/10068213. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 106663/10068294. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 106664/10068321. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 106665/10068420. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 106666/10068447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(a (^b.b))) 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. ------ 106667/10068474. ------ 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)))(a a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 106668/10068492. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 106669/10068735. ------ 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. ------ 106670/10068762. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 106671/10068789. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a) b)) REDUCED to normal form. ------ 106672/10068987. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 106673/10069041. ------ 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))))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106674/10069140. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a)) d)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a)) d)) 3. ==[ beta ]==> (b ((^y.(a a)) d)) 4. ==[ alpha ]==> (b ((^x.(a a)) d)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 106675/10069239. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 106676/10069383. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 106677/10069410. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.a))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.a))) REDUCED to normal form. ------ 106678/10069437. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(y y)))) REDUCED to normal form. ------ 106679/10069491. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.a)) REDUCED to normal form. ------ 106680/10069518. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 106681/10069572. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106682/10069626. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((b a) a)) REDUCED to normal form. ------ 106683/10069653. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 106684/10069716. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 106685/10069770. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 106686/10069797. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 106687/10069824. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 9. ==[ beta ]==> ((^y.a)(^z.(a a))) 10. ==[ alpha ]==> ((^x.a)(^y.(a a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 106688/10070049. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((a a) a))) 5. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 106689/10070130. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 106690/10070193. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 106691/10070301. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 106692/10070328. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.b))) REDUCED to normal form. ------ 106693/10070382. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 106694/10070409. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 106695/10070436. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.a))((a a) b)) REDUCED to normal form. ------ 106696/10070463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) c)) REDUCED to normal form. ------ 106697/10070526. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 106698/10070580. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.b))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 106699/10070607. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 106700/10070805. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106701/10071084. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(a a)))) REDUCED to normal form. ------ 106702/10071111. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 106703/10071264. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 106704/10071327. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 106705/10071372. ------ 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)(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. ------ 106706/10071399. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 106707/10071498. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.b))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.b))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.b))) REDUCED to normal form. ------ 106708/10071525. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(a a)))) 5. ==[ beta ]==> ((a b)(a (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 106709/10071552. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 106710/10071579. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 106711/10071606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 106712/10071633. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 106713/10071678. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106714/10071687. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 106715/10071714. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a b))) 3. ==[ beta ]==> ((a b)((^y.y)(a b))) 4. ==[ alpha ]==> ((a b)((^x.x)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 106716/10071885. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 106717/10071993. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106718/10072047. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 8. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 106719/10072074. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)((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. ------ 106720/10072164. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.a))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106721/10072191. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(y y)))) REDUCED to normal form. ------ 106722/10072218. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 106723/10072245. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 106724/10072272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a) a)) REDUCED to normal form. ------ 106725/10072389. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) 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. ------ 106726/10072524. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.(x x)))) REDUCED to normal form. ------ 106727/10072551. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 106728/10072605. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(a 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. ------ 106729/10072659. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 106730/10072686. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 106731/10072713. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)((^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. ------ 106732/10072884. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 106733/10073028. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 106734/10073055. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 106735/10073109. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 106736/10073136. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 106737/10073154. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (a (^y.y)))) 3. ==[ beta ]==> (((b a)(b a))(c (a (^y.y)))) 4. ==[ alpha ]==> (((b a)(b a))(c (a (^x.x)))) REDUCED to normal form. ------ 106738/10073217. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 106739/10073235. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (b (((^y.y) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 106740/10073244. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 106741/10073352. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 106742/10073379. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 106743/10073406. ------ 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. ------ 106744/10073442. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 106745/10073469. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 106746/10073523. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 106747/10073550. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 106748/10073577. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 106749/10073604. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 106750/10073631. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 106751/10073658. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 106752/10073712. ------ 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. ------ 106753/10073739. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 106754/10073766. ------ 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. ------ 106755/10073790. ------ 1. ==[ start ]==> ((^a.(b (^a.a))) c) 2. ==[ alpha ]==> ((^x.(b (^y.y))) c) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106756/10073793. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 106757/10079484. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106758/10081563. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106759/10081566. ------ 1. ==[ start ]==> ((a (b (^a.a))) c) 2. ==[ alpha ]==> ((a (b (^x.x))) c) REDUCED to normal form. ------ 106760/10081611. ------ 1. ==[ start ]==> (((^a.a) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(b (^z.z)))) 3. ==[ beta ]==> (a (^y.(b (^z.z)))) 4. ==[ alpha ]==> (a (^x.(b (^y.y)))) REDUCED to normal form. ------ 106761/10081644. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a)) b)) 2. ==[ alpha ]==> ((^x.b)((^y.(a a)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 106762/10081962. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.((a a)(a a)))) REDUCED to normal form. ------ 106763/10082184. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.(a a)))((((a a) a)(^y.(a a)))(((a a) a)(^y.(a a))))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((((a a) a)(^y.(a a)))(((a a) a)(^z.(a a))))) REDUCED to normal form. ------ 106764/10082331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 106765/10082409. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106766/10082682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 106767/10082691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 106768/10083300. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 106769/10083681. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.(^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. ------ 106770/10083690. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 106771/10084074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))(^x1.a))(((a a)(^z.z))(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a)))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 106772/10084302. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(a (^a.(^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))))) REDUCED to normal form. ------ 106773/10085166. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 106774/10085505. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a)) c)) 3. ==[ eta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 106775/10085949. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 106776/10086435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106777/10086651. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 106778/10086876. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 106779/10087260. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106780/10087263. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.b))) 3. ==[ beta ]==> ((a b)(^y.(^z.b))) 4. ==[ alpha ]==> ((a b)(^x.(^y.b))) REDUCED to normal form. ------ 106781/10087272. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)(^y.y)) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 106782/10088259. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))(((a a)(^y.(^z.z)))((a a)(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a)(^x.(^y.y)))((a a)(^z.(^x1.x1))))(((a a)(^y1.(^z1.z1)))((a a)(^x2.(^y2.y2))))) REDUCED to normal form. ------ 106783/10088541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 106784/10088649. ------ 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))) REDUCED to normal form. ------ 106785/10088766. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(y (y y)))) REDUCED to normal form. ------ 106786/10088847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 106787/10089018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.c)) 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. ------ 106788/10089099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.c)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.c)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.c)) 5. ==[ beta ]==> (((a a)(^y.y))(^z.c)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.c)) REDUCED to normal form. ------ 106789/10089153. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106790/10089261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.x1)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 106791/10089288. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 106792/10089339. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106793/10089342. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 106794/10089390. ------ 1. ==[ start ]==> (((^a.a) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(a (b (^y.y)))) 3. ==[ beta ]==> (a (a (b (^y.y)))) 4. ==[ alpha ]==> (a (a (b (^x.x)))) REDUCED to normal form. ------ 106795/10089417. ------ 1. ==[ start ]==> (((a a) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 106796/10089426. ------ 1. ==[ start ]==> ((a b)((^c.(a a)) b)) 2. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 106797/10089444. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 106798/10089471. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 106799/10089498. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((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. ------ 106800/10089525. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 106801/10089552. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((a a) a))) REDUCED to normal form. ------ 106802/10089579. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 106803/10089606. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a) a)(a a))) REDUCED to normal form. ------ 106804/10089660. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 106805/10089705. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.z))) 3. ==[ beta ]==> ((^y.a)(c (^z.z))) 4. ==[ alpha ]==> ((^x.a)(c (^y.y))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 106806/10089732. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^y1.(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. ------ 106807/10089741. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 106808/10089813. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (^z.z))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 106809/10089885. ------ 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) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 106810/10089939. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(^y.b))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.b))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.b))) REDUCED to normal form. ------ 106811/10089966. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 106812/10090002. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106813/10090056. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 106814/10090083. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (a 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. ------ 106815/10090110. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1)((a a)(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. ------ 106816/10090164. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 106817/10090191. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 106818/10090326. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106819/10090353. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 106820/10090407. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 106821/10090416. ------ 1. ==[ start ]==> (((a (a a)) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 106822/10090443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.y) a)(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x) a)(b ((^y.y) b))) 5. ==[ beta ]==> (a (b ((^y.y) b))) 6. ==[ alpha ]==> (a (b ((^x.x) b))) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 106823/10090470. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 106824/10090497. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (a a))) REDUCED to normal form. ------ 106825/10090524. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 106826/10090551. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 106827/10090578. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> (((a a)(^y.y))(a (a a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 106828/10090785. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106829/10090839. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(a a))) 5. ==[ beta ]==> (a ((^z.z)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 106830/10090947. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106831/10091082. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 106832/10091100. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 106833/10091127. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)(^b.b))) 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))) REDUCED to normal form. ------ 106834/10091154. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b) a)) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) a)) 5. ==[ beta ]==> ((a (a (a a)))(b a)) REDUCED to normal form. ------ 106835/10091181. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 106836/10091208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a) c)) 5. ==[ beta ]==> ((a (^y.y))((b a) c)) 6. ==[ alpha ]==> ((a (^x.x))((b a) c)) REDUCED to normal form. ------ 106837/10091271. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 106838/10091352. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) IRREDUCIBLE: cycle. ------ 106839/10091415. ------ 1. ==[ start ]==> ((((a a) a) b)(c (b a))) REDUCED to normal form. ------ 106840/10091433. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106841/10091442. ------ 1. ==[ start ]==> (((a b) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 106842/10091460. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 106843/10091469. ------ 1. ==[ start ]==> (((a a)(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.b))(a b)) REDUCED to normal form. ------ 106844/10091523. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 106845/10091550. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 106846/10091577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 106847/10091604. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 106848/10091631. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 106849/10091802. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 106850/10091829. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 106851/10091856. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 106852/10091865. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106853/10091892. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106854/10091946. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 7. ==[ beta ]==> ((^y.a)((a a) a)) 8. ==[ alpha ]==> ((^x.a)((a a) a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 106855/10092027. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106856/10092081. ------ 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))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 106857/10092108. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106858/10092243. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106859/10092396. ------ 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.y1))) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 106860/10092468. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (b (((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 106861/10092783. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 106862/10092864. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(a b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(a b))) REDUCED to normal form. ------ 106863/10092945. ------ 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 ((^z.z)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 106864/10093287. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (b a))((^x.(a a)) c)) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 106865/10093458. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 106866/10093566. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.b)((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.b)((^y.y) a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 106867/10093647. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))((a a) a))) 5. ==[ beta ]==> (((a b)(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 106868/10093728. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 106869/10094016. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 106870/10094043. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b) c)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b) c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b) c)) 5. ==[ beta ]==> (((a a) a)((^y.b) c)) 6. ==[ alpha ]==> (((a a) a)((^x.b) c)) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 106871/10094115. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106872/10094214. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 106873/10094295. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106874/10094403. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106875/10094430. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 106876/10094457. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 106877/10094592. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106878/10094601. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c ((a a) a))) REDUCED to normal form. ------ 106879/10094628. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a b))) REDUCED to normal form. ------ 106880/10094655. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 106881/10094709. ------ 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)(a (^x1.x1)))) REDUCED to normal form. ------ 106882/10094880. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 106883/10094907. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 106884/10094934. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a)(a (a a)))(^y.a)) 8. ==[ alpha ]==> (((a a)(a (a a)))(^x.a)) REDUCED to normal form. ------ 106885/10094961. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 106886/10095042. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.b))) 3. ==[ beta ]==> ((a b)((a a)(^y.b))) 4. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 106887/10095051. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 106888/10095078. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 106889/10095213. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106890/10095330. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (a a)) a)) REDUCED to normal form. ------ 106891/10095357. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((b a)(a (a (a a)))) REDUCED to normal form. ------ 106892/10095375. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(^z.z)))) 5. ==[ beta ]==> (b (c (^y.(^z.z)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 106893/10095384. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 106894/10095402. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> ((^y.y)(b (^y1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 106895/10095411. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)((a a) a))) REDUCED to normal form. ------ 106896/10095537. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 106897/10095645. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106898/10095771. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a) a)) 3. ==[ beta ]==> ((a (b a))((^y.a) a)) 4. ==[ alpha ]==> ((a (b a))((^x.a) a)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 106899/10095798. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z)) b)) 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. ------ 106900/10095933. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^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. ------ 106901/10095987. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 106902/10096014. ------ 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 z)))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 106903/10096041. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 106904/10096077. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106905/10096320. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106906/10096401. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 106907/10096428. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (a a)))) 5. ==[ beta ]==> ((^y.y)(a (a a))) 6. ==[ alpha ]==> ((^x.x)(a (a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 106908/10096482. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 106909/10096545. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (a (a a)))) REDUCED to normal form. ------ 106910/10096572. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a b)(^x.b))(a (a a))) REDUCED to normal form. ------ 106911/10096626. ------ 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.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) a)) REDUCED to normal form. ------ 106912/10096671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^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. ------ 106913/10096680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c b)) REDUCED to normal form. ------ 106914/10096707. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 106915/10096770. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 106916/10096797. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((a a) c)) REDUCED to normal form. ------ 106917/10096824. ------ 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)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 106918/10096851. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 106919/10096905. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 106920/10096932. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 106921/10096959. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y)) a)) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y)) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 106922/10096986. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 106923/10097040. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 106924/10097067. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 106925/10097094. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a) a)) REDUCED to normal form. ------ 106926/10097121. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 106927/10097147. ------ 1. ==[ start ]==> (^a.(b ((a a)(a a)))) 2. ==[ alpha ]==> (^x.(b ((x x)(x x)))) REDUCED to normal form. ------ 106928/10097148. ------ 1. ==[ start ]==> (a (b ((a a)(a a)))) REDUCED to normal form. ------ 106929/10097178. ------ 1. ==[ start ]==> ((^a.(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((^y.(b (^z.z)))(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106930/10104900. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(z z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106931/10104936. ------ 1. ==[ start ]==> ((^a.a)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 106932/10104963. ------ 1. ==[ start ]==> ((^a.(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (b (^y.y)))(a (b (^y.y)))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 106933/10104966. ------ 1. ==[ start ]==> ((a (a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 106934/10104990. ------ 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. ------ 106935/10105026. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106936/10105071. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(a (a a)))) 3. ==[ beta ]==> (((b a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((b a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 106937/10105260. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^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. ------ 106938/10105431. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 106939/10105686. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a)(a a)))) REDUCED to normal form. ------ 106940/10105755. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106941/10106037. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 106942/10106313. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((((^y.y) a)(b a))(((^y.y) a)(b a)))(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((((^x.x) a)(b a))(((^y.y) a)(b a)))(((^z.z) a)(b a))) 5. ==[ beta ]==> (((a (b a))(((^y.y) a)(b a)))(((^z.z) a)(b a))) 6. ==[ alpha ]==> (((a (b a))(((^x.x) a)(b a)))(((^y.y) a)(b a))) 7. ==[ beta ]==> (((a (b a))(a (b a)))(((^y.y) a)(b a))) 8. ==[ alpha ]==> (((a (b a))(a (b a)))(((^x.x) a)(b a))) 9. ==[ beta ]==> (((a (b a))(a (b a)))(a (b a))) REDUCED to normal form. ------ 106943/10107036. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 106944/10107657. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 106945/10107963. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 106946/10108095. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((((a a) a)((^z.z)(^x1.x1)))(((a a) a)((^z.z)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((a a) a)((^x.x)(^y.y)))(((a a) a)((^z.z)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((((a a) a)(^y.y))(((a a) a)((^z.z)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((((a a) a)(^x.x))(((a a) a)(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> (((((a a) a)(^x.x))(((a a) a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 106947/10108512. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 106948/10108521. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y a))) REDUCED to normal form. ------ 106949/10108800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(a a))(a (^y.y))) b) 4. ==[ beta ]==> (((a a)(a (^y.y))) b) 5. ==[ alpha ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 106950/10108851. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(a (^z.z)))) 3. ==[ eta ]==> (b (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 106951/10109295. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^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. ------ 106952/10109304. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 106953/10109556. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 106954/10109688. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((^x1.x1)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 106955/10110006. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 106956/10110222. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 106957/10110291. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 106958/10110420. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(a b))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(a b))) 5. ==[ beta ]==> ((a b)(^y.(a b))) 6. ==[ alpha ]==> ((a b)(^x.(a b))) REDUCED to normal form. ------ 106959/10110618. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 106960/10111167. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.((a a) a))) REDUCED to normal form. ------ 106961/10111338. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((y y) y))) 3. ==[ beta ]==> ((a (b a))(^y.((y y) y))) 4. ==[ alpha ]==> ((a (b a))(^x.((x x) x))) REDUCED to normal form. ------ 106962/10111995. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^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. ------ 106963/10112004. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 106964/10112112. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 106965/10112301. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^y.a)) REDUCED to normal form. ------ 106966/10112391. ------ 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) x1))) 3. ==[ eta ]==> ((((^x.x) a)(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 106967/10112661. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.b)) REDUCED to normal form. ------ 106968/10112685. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 106969/10112688. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 106970/10112727. ------ 1. ==[ start ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 106971/10112754. ------ 1. ==[ start ]==> ((a (a a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(a (b (^x.x)))) REDUCED to normal form. ------ 106972/10112781. ------ 1. ==[ start ]==> ((a b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 106973/10112817. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 106974/10112835. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 106975/10112862. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(a (a a)))) REDUCED to normal form. ------ 106976/10112997. ------ 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 (^x.x)))((^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. ------ 106977/10113024. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(b a))) REDUCED to normal form. ------ 106978/10113051. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(a (^z.(^x1.x1))))) 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. ------ 106979/10113096. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(a a)))) REDUCED to normal form. ------ 106980/10113141. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (a (((a a)(a a))(^y.y))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 106981/10113150. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 106982/10113168. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 106983/10113177. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 106984/10113204. ------ 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. ------ 106985/10113222. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 106986/10113312. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(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. ------ 106987/10113330. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^y.(a a)))(((a a) a)(^y.(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 106988/10113357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 106989/10113393. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(b a))) 3. ==[ beta ]==> ((a b)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(b a))) 5. ==[ beta ]==> ((a b)((b a)(b a))) REDUCED to normal form. ------ 106990/10113411. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 106991/10113420. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 106992/10113438. ------ 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))) REDUCED to normal form. ------ 106993/10113447. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 106994/10113474. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 106995/10113519. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) b)) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 106996/10113528. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 106997/10113546. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 106998/10113636. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 106999/10113771. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 107000/10113798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 107001/10113825. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 107002/10113969. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^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. ------ 107003/10113996. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)((a a) a))) REDUCED to normal form. ------ 107004/10114023. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a b))) 5. ==[ beta ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 107005/10114050. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 107006/10114077. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a (a a))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 107007/10114104. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a ((a a) a))(a (b a))) REDUCED to normal form. ------ 107008/10114194. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> (a (((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.y))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 107009/10114230. ------ 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)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 107010/10114275. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 107011/10114302. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 107012/10114311. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 107013/10114338. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 107014/10114356. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.b))) 7. ==[ beta ]==> ((a a)(((a a) a)(^y.b))) 8. ==[ alpha ]==> ((a a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 107015/10114365. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 107016/10114392. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107017/10114419. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 107018/10114608. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107019/10114797. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 107020/10114824. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 107021/10114842. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 107022/10115022. ------ 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. ------ 107023/10115049. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 107024/10115076. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(a ((a a)(^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 107025/10115103. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(b a))) REDUCED to normal form. ------ 107026/10115130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a ((a a)(a (^y.(^z.z))))) 8. ==[ alpha ]==> (a ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 107027/10115175. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 107028/10115220. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107029/10115247. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 107030/10115301. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 7. ==[ beta ]==> (((a a) a)(^y.a)) 8. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 107031/10115382. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 107032/10115391. ------ 1. ==[ start ]==> (((a b) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 107033/10115418. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 107034/10115436. ------ 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. ------ 107035/10115445. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 107036/10115463. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 107037/10115472. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 107038/10115526. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107039/10115553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.(a a))(^z.(z z)))((^y.(a a))(^z.(z z)))) 8. ==[ alpha ]==> (((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(y y)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107040/10115580. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 107041/10115607. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 107042/10115634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 107043/10115697. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 107044/10115724. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (b a))) 3. ==[ beta ]==> ((a ((a a) a))(b (b a))) REDUCED to normal form. ------ 107045/10115751. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 107046/10115778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(a a))) 5. ==[ beta ]==> ((a (a a))((b a)(a a))) REDUCED to normal form. ------ 107047/10115805. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 107048/10115832. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 107049/10115859. ------ 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. ------ 107050/10115886. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 107051/10116057. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)(^z.z))) 3. ==[ beta ]==> (b ((b a)(^z.z))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 107052/10116066. ------ 1. ==[ start ]==> (((a b) c)((^d.a)(a a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 107053/10116093. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 107054/10116120. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 107055/10116138. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(y y)))) REDUCED to normal form. ------ 107056/10116165. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 107057/10116174. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 107058/10116201. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 107059/10116219. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(^y.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.b))) REDUCED to normal form. ------ 107060/10116255. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107061/10116282. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 107062/10116309. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(b a))) 3. ==[ beta ]==> (((a b)(^x.a))(b a)) REDUCED to normal form. ------ 107063/10116561. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 107064/10116588. ------ 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. ------ 107065/10116615. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 107066/10116642. ------ 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. ------ 107067/10116876. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 107068/10116921. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)(^y.a))) 3. ==[ beta ]==> ((b a)((a b)(^y.a))) 4. ==[ alpha ]==> ((b a)((a b)(^x.a))) REDUCED to normal form. ------ 107069/10116948. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 107070/10116984. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 107071/10117002. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 107072/10117011. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 107073/10117065. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107074/10117083. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 107075/10117092. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 107076/10117119. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 107077/10117146. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 107078/10117290. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (a b))) REDUCED to normal form. ------ 107079/10117317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 107080/10117344. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 107081/10117371. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 107082/10117398. ------ 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)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)((a b)(a (^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 107083/10117425. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 107084/10117479. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 107085/10117650. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (b (((a a) a)(^x1.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 107086/10117758. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107087/10117767. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 107088/10117785. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 107089/10117794. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 107090/10117812. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 107091/10117875. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 107092/10117902. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 107093/10117956. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 107094/10117983. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 107095/10118010. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 107096/10118055. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107097/10118082. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) c)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 107098/10118100. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1) a)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z) a)) 7. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 107099/10118127. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 107100/10118154. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.z))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 107101/10118181. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 107102/10118208. ------ 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. ------ 107103/10118361. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 107104/10118406. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 107105/10118433. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 107106/10118676. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107107/10118739. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 107108/10118766. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.a))) REDUCED to normal form. ------ 107109/10118811. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 107110/10118847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107111/10118874. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 107112/10118892. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (b (a (^y.(y y)))) 6. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 107113/10118901. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 107114/10118928. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107115/10118955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a a) a)) REDUCED to normal form. ------ 107116/10119000. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107117/10119009. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 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. ------ 107118/10119036. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((b (^x.x))((^z.a)(^z.a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.a))) 7. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 107119/10119072. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (a (a a)))) 3. ==[ beta ]==> (((a a) b)(c (a (a a)))) REDUCED to normal form. ------ 107120/10119099. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 107121/10119126. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a ((a a) a))) 3. ==[ beta ]==> ((a (b a))(a ((a a) a))) REDUCED to normal form. ------ 107122/10119153. ------ 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))(a a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 107123/10119180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)((a (a a))(a (^y.y)))) 8. ==[ alpha ]==> ((a a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 107124/10119207. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 107125/10119234. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 107126/10119261. ------ 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)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 107127/10119369. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c d)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c d)) 3. ==[ beta ]==> ((b (a a))(c d)) REDUCED to normal form. ------ 107128/10119432. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((^y.y)(^z.z)) a) 6. ==[ alpha ]==> (((^x.x)(^y.y)) a) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 107129/10119567. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107130/10119711. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(a a))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a a))) 5. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 107131/10119738. ------ 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. ------ 107132/10119756. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 107133/10119783. ------ 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 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. ------ 107134/10119792. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 107135/10119819. ------ 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 y1))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 107136/10119837. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a) b)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a) b)) 5. ==[ beta ]==> (((b a)(b a))(a b)) REDUCED to normal form. ------ 107137/10119900. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.(z z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 107138/10119918. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y)) a)) 3. ==[ beta ]==> (b ((^y.(y y)) a)) 4. ==[ alpha ]==> (b ((^x.(x x)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 107139/10119981. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 107140/10120026. ------ 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. ------ 107141/10120035. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 107142/10120062. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107143/10120089. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 107144/10120152. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (a (^y.y)))) REDUCED to normal form. ------ 107145/10120179. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 107146/10120206. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(a a))) REDUCED to normal form. ------ 107147/10120233. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 107148/10120287. ------ 1. ==[ start ]==> (((a b)(a b))(b b)) REDUCED to normal form. ------ 107149/10120341. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 107150/10120395. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 107151/10120422. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b a)) 3. ==[ beta ]==> ((b (a (^y.y)))(b a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(b a)) REDUCED to normal form. ------ 107152/10120449. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a b)) REDUCED to normal form. ------ 107153/10120476. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (a a))) REDUCED to normal form. ------ 107154/10128264. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107155/10128318. ------ 1. ==[ start ]==> ((^a.(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107156/10128348. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 107157/10128399. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107158/10128561. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (^x.(((a a) a)(a a))) REDUCED to normal form. ------ 107159/10128903. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(a b))) 3. ==[ beta ]==> (((^y.b)(a b))(((^y.b)(a b))((^y.b)(a b)))) 4. ==[ alpha ]==> (((^x.b)(a b))(((^y.b)(a b))((^z.b)(a b)))) 5. ==[ beta ]==> (b (((^y.b)(a b))((^z.b)(a b)))) 6. ==[ alpha ]==> (b (((^x.b)(a b))((^y.b)(a b)))) 7. ==[ beta ]==> (b (b ((^y.b)(a b)))) 8. ==[ alpha ]==> (b (b ((^x.b)(a b)))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 107160/10129059. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 107161/10129254. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107162/10129428. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 107163/10130094. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) 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. ------ 107164/10130199. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.(x1 x1))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 107165/10130427. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 107166/10130586. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (^y.((((a a) a)((a a) a))(((a a) a)((a a) a)))) 4. ==[ alpha ]==> (^x.((((a a) a)((a a) a))(((a a) a)((a a) a)))) REDUCED to normal form. ------ 107167/10130742. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 107168/10131030. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 107169/10131336. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.(^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. ------ 107170/10131894. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 107171/10132677. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 107172/10132929. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 107173/10133154. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.((^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. ------ 107174/10133664. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107175/10133820. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(x x)))) REDUCED to normal form. ------ 107176/10133979. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 107177/10134711. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 107178/10134978. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))(((^y.(^z.z))(a (a a)))((^y.(^z.z))(a (a a))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a))))(((^y1.(^z1.z1))(a (a a)))((^x2.(^y2.y2))(a (a a))))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a (a a))))(((^y1.(^z1.z1))(a (a a)))((^x2.(^y2.y2))(a (a a))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (a a))))(((^x1.(^y1.y1))(a (a a)))((^z1.(^x2.x2))(a (a a))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (a a)))(((^x1.(^y1.y1))(a (a a)))((^z1.(^x2.x2))(a (a a))))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (a a)))((^y1.(^z1.z1))(a (a a))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 11. ==[ beta ]==> (((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a)))) 12. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(a (a a)))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 15. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 16. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107179/10135152. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 107180/10135260. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 107181/10135377. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 107182/10135485. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.d)) REDUCED to normal form. ------ 107183/10135503. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(y (y y)))) 3. ==[ beta ]==> (b (^y.(y (y y)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 107184/10135764. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^b.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. ------ 107185/10135845. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.x))) REDUCED to normal form. ------ 107186/10135899. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 107187/10136007. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 107188/10136034. ------ 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. ------ 107189/10136058. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107190/10136061. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 107191/10136118. ------ 1. ==[ start ]==> ((a (^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 107192/10136145. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 107193/10136172. ------ 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. ------ 107194/10136199. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 107195/10136208. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b) c)) 2. ==[ alpha ]==> (((^x.x) b)((^y.y) c)) 3. ==[ beta ]==> (b ((^y.y) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 107196/10136253. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107197/10136280. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 107198/10136307. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 107199/10136334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 107200/10136361. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 107201/10136442. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 107202/10136469. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) 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. ------ 107203/10136532. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 107204/10136559. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 107205/10136586. ------ 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. ------ 107206/10136676. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 107207/10136694. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(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. ------ 107208/10136703. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(a b))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 107209/10136802. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 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. ------ 107210/10136829. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 107211/10136856. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.(a a)))) REDUCED to normal form. ------ 107212/10136883. ------ 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. ------ 107213/10136910. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a))(^x.x))(b b)) REDUCED to normal form. ------ 107214/10136946. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 107215/10137027. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 107216/10137054. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 107217/10137198. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) b))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 107218/10137225. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 107219/10137261. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.a))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.a))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 107220/10137279. ------ 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)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 107221/10137522. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.(^x2.x2))))) 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. ------ 107222/10137612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 107223/10137639. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)(^x.a))) REDUCED to normal form. ------ 107224/10137693. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107225/10137720. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 107226/10137747. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 107227/10137774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107228/10137837. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(b a))) 3. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 107229/10137864. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 107230/10137891. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y) b)) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x) b)) 7. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 107231/10137918. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b)(^a.a))) 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. ------ 107232/10137945. ------ 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.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 107233/10137999. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 107234/10138170. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 107235/10138197. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 107236/10138224. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 107237/10138260. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 107238/10138278. ------ 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. ------ 107239/10138314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1)) d)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1)) d)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z)) d)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 107240/10138359. ------ 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 ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 107241/10138386. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 107242/10138512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x) a)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a (b (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 107243/10138539. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 107244/10138557. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 107245/10138566. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 107246/10138773. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 107247/10138827. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107248/10138854. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 107249/10138908. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 107250/10139052. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 107251/10139079. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 107252/10139133. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 107253/10139205. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107254/10139304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 107255/10139448. ------ 1. ==[ start ]==> (((a b) c)((b a)(^a.a))) 2. ==[ alpha ]==> (((a b) c)((b a)(^x.x))) REDUCED to normal form. ------ 107256/10139475. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 107257/10139502. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.a))) REDUCED to normal form. ------ 107258/10139556. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 107259/10139583. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.b))(^z.a)) 8. ==[ alpha ]==> ((a (^x.b))(^y.a)) REDUCED to normal form. ------ 107260/10139637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107261/10139718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 107262/10139745. ------ 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)) REDUCED to normal form. ------ 107263/10139781. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 107264/10139808. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 107265/10139835. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 107266/10139862. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^c.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. ------ 107267/10139889. ------ 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 y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.b))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.b))) 9. ==[ beta ]==> ((^y.(y y))(^z.b)) 10. ==[ alpha ]==> ((^x.(x x))(^y.b)) 11. ==[ beta ]==> ((^y.b)(^y.b)) 12. ==[ alpha ]==> ((^x.b)(^y.b)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 107268/10139916. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 107269/10139943. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 107270/10140114. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107271/10140195. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 107272/10140258. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 107273/10140366. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 107274/10140393. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 107275/10140447. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 107276/10140474. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 107277/10140501. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 107278/10140528. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 107279/10140591. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 107280/10140618. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 107281/10140672. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 107282/10140699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 107283/10140870. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107284/10140951. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 107285/10141149. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 107286/10141176. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 107287/10141257. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a) c)) REDUCED to normal form. ------ 107288/10141437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((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. ------ 107289/10141446. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 107290/10141464. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 107291/10141590. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.b))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.b))) 5. ==[ beta ]==> ((a b)(b (^y.b))) 6. ==[ alpha ]==> ((a b)(b (^x.b))) REDUCED to normal form. ------ 107292/10141617. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 107293/10141644. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a a))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 107294/10141698. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 107295/10141743. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 107296/10141752. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 107297/10141779. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 107298/10141950. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 107299/10142058. ------ 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.z1)(^x2.x2))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107300/10142067. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 107301/10142112. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (b (((^y.y) a)(a (a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 7. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 107302/10142139. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 107303/10142229. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107304/10142256. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(^y.a))) REDUCED to normal form. ------ 107305/10142283. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(y y)))) REDUCED to normal form. ------ 107306/10142310. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107307/10142391. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 107308/10142418. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a)) c)) 3. ==[ beta ]==> ((b (^y.y))((a (a a)) c)) 4. ==[ alpha ]==> ((b (^x.x))((a (a a)) c)) REDUCED to normal form. ------ 107309/10142454. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 107310/10142481. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 107311/10142508. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (b a))(^y.a)) 6. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 107312/10142616. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.(x x)))) REDUCED to normal form. ------ 107313/10142643. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 107314/10142724. ------ 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 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 107315/10142751. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b (a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b (a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 107316/10142778. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 107317/10142949. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 107318/10143057. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107319/10143093. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(^y.y))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.y))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.x))) REDUCED to normal form. ------ 107320/10143120. ------ 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. ------ 107321/10143174. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 107322/10143201. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a)) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 107323/10143300. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 107324/10143309. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y)) a)) 3. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 107325/10143363. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 107326/10143417. ------ 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. ------ 107327/10143444. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107328/10143471. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 107329/10143507. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 107330/10143534. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 107331/10143561. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.a)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 107332/10143588. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.x))) REDUCED to normal form. ------ 107333/10143615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 107334/10143642. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.a))) REDUCED to normal form. ------ 107335/10143669. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 107336/10143696. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 107337/10143723. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 107338/10143777. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.z))) REDUCED to normal form. ------ 107339/10143804. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 107340/10143831. ------ 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. ------ 107341/10143858. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 107342/10151655. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107343/10151757. ------ 1. ==[ start ]==> (((a a) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 107344/10152204. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 107345/10152303. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(^y.b))) 3. ==[ beta ]==> (((a b)(^y.b))(((a b)(^y.b))((a b)(^y.b)))) 4. ==[ alpha ]==> (((a b)(^x.b))(((a b)(^y.b))((a b)(^z.b)))) REDUCED to normal form. ------ 107346/10152528. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107347/10152828. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 107348/10152837. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 107349/10153179. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (a (^z.(^x1.(z z)))) 6. ==[ alpha ]==> (a (^x.(^y.(x x)))) REDUCED to normal form. ------ 107350/10153419. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 107351/10153827. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.(^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. ------ 107352/10154193. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((b a)(^z.(^x1.x1)))((b a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((b a)(^y.(^z.z)))((b a)(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 107353/10154448. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 107354/10155042. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107355/10155624. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) b)) 3. ==[ eta ]==> (b ((^y.(^z.z)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107356/10156173. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 107357/10156797. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 107358/10157379. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 107359/10157418. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(a z1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1)))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 107360/10157796. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 107361/10158378. ------ 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 z)))) 3. ==[ beta ]==> ((((a (^y.y))(^z.(z z)))((a (^y.y))(^z.(z z))))(((a (^y.y))(^z.(z z)))((a (^y.y))(^z.(z z))))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.(x1 x1))))(((a (^y1.y1))(^z1.(z1 z1)))((a (^x2.x2))(^y2.(y2 y2))))) REDUCED to normal form. ------ 107362/10158417. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107363/10158552. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 107364/10158903. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 107365/10158912. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(y (y y)))) REDUCED to normal form. ------ 107366/10159011. ------ 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 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. ------ 107367/10159245. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.c)) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.c)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.c)) REDUCED to normal form. ------ 107368/10159407. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.z)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 107369/10159458. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107370/10159461. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 107371/10159536. ------ 1. ==[ start ]==> (((^a.a) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)(b ((a a)(a a)))) 3. ==[ beta ]==> (a (b ((a a)(a a)))) REDUCED to normal form. ------ 107372/10159563. ------ 1. ==[ start ]==> (((a a) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(a (b (^x.x)))) REDUCED to normal form. ------ 107373/10159590. ------ 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. ------ 107374/10159617. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (b (b (a (^y.y)))) 6. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 107375/10159626. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(a a))((^x.x) c)) 3. ==[ beta ]==> (((a a)(a a)) c) REDUCED to normal form. ------ 107376/10159644. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 107377/10159671. ------ 1. ==[ start ]==> (((a a) b)((b a)(a (a a)))) REDUCED to normal form. ------ 107378/10159698. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 107379/10159725. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 107380/10159752. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(a b))) REDUCED to normal form. ------ 107381/10159806. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 107382/10159887. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 107383/10159914. ------ 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. ------ 107384/10160013. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 107385/10160031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 107386/10160058. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107387/10160112. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.b))) REDUCED to normal form. ------ 107388/10160121. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(a b))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(a b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(a b))) 5. ==[ beta ]==> (((^y.b)(a b))((^y.b)(a b))) 6. ==[ alpha ]==> (((^x.b)(a b))((^y.b)(a b))) 7. ==[ beta ]==> (b ((^y.b)(a b))) 8. ==[ alpha ]==> (b ((^x.b)(a b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 107389/10160148. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 107390/10160202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 7. ==[ beta ]==> ((^y.(y y))(b a)) 8. ==[ alpha ]==> ((^x.(x x))(b a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 107391/10160229. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 107392/10160256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 107393/10160337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 107394/10160472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107395/10160607. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107396/10160616. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 107397/10160643. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 107398/10160670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (^x.a))(b (a a))) REDUCED to normal form. ------ 107399/10160697. ------ 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)))(a (^y1.y1)))) REDUCED to normal form. ------ 107400/10160724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((b a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.x)((b 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. ------ 107401/10160931. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(c (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (c (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (c (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 107402/10160985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a (^z.(a a)))) 5. ==[ beta ]==> (a (a (^z.(a a)))) 6. ==[ alpha ]==> (a (a (^x.(a a)))) REDUCED to normal form. ------ 107403/10161147. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((a a) a))) 7. ==[ beta ]==> ((a a)((^y.b)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.b)((a a) a))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 107404/10161228. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.b))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 107405/10161273. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 107406/10161300. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)(^y.y))) 3. ==[ beta ]==> ((a (a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 107407/10161327. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b) a)) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b) a)) 5. ==[ beta ]==> (((a (a a)) a)(b a)) REDUCED to normal form. ------ 107408/10161354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 107409/10161381. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a) c)) REDUCED to normal form. ------ 107410/10161417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 107411/10161588. ------ 1. ==[ start ]==> (((a b) a)(c (b a))) REDUCED to normal form. ------ 107412/10161606. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 107413/10161615. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 107414/10161633. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107415/10161669. ------ 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)))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 107416/10161696. ------ 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. ------ 107417/10161723. ------ 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)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 107418/10161750. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 107419/10161777. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 107420/10161975. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 107421/10162002. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 107422/10162038. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107423/10162092. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 107424/10162173. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1)(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. ------ 107425/10162227. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 107426/10162254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 107427/10162389. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 107428/10162569. ------ 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.y1))) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) a)) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 107429/10162614. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 107430/10162623. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 107431/10162848. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 107432/10162929. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 107433/10162956. ------ 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)(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. ------ 107434/10163010. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 107435/10163091. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 107436/10163433. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 107437/10163604. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.(a a)))) 3. ==[ beta ]==> (b (c (^z.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 107438/10163712. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 107439/10163739. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)((^z.z) a)) 6. ==[ alpha ]==> ((^x.b)((^y.y) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 107440/10163793. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 107441/10163874. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107442/10163982. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 107443/10164162. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 107444/10164189. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) b)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) b)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 107445/10164216. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 107446/10164261. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107447/10164360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.(a a)))) 5. ==[ beta ]==> ((a a)(b (^z.(a a)))) 6. ==[ alpha ]==> ((a a)(b (^x.(a a)))) REDUCED to normal form. ------ 107448/10164441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 107449/10164549. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.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. ------ 107450/10164576. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107451/10164603. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107452/10164657. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 107453/10164738. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107454/10164801. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (a b))) REDUCED to normal form. ------ 107455/10164855. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(a a))) REDUCED to normal form. ------ 107456/10165053. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 107457/10165080. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 107458/10165107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.a)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.a)) REDUCED to normal form. ------ 107459/10165161. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 107460/10165188. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 107461/10165197. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107462/10165224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(a b))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 107463/10165359. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 107464/10165476. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.z))) REDUCED to normal form. ------ 107465/10165503. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((b a)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b a)((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b a)((a (a a)) a)) REDUCED to normal form. ------ 107466/10165530. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 107467/10165557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 107468/10165602. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 107469/10165683. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (b ((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (b (((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (b (a ((^y.y) a))) 8. ==[ alpha ]==> (b (a ((^x.x) a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 107470/10165692. ------ 1. ==[ start ]==> (((a b)(^c.a))(d d)) 2. ==[ alpha ]==> (((a b)(^x.a))(d d)) REDUCED to normal form. ------ 107471/10165971. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) b)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) b)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) b)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 107472/10165998. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x)) c)) 3. ==[ beta ]==> ((((a a) a)(a b))(c c)) REDUCED to normal form. ------ 107473/10166133. ------ 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 (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107474/10166160. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b (a a))(a (^y.a))) 6. ==[ alpha ]==> ((b (a a))(a (^x.a))) REDUCED to normal form. ------ 107475/10166187. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 107476/10166223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107477/10166358. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 107478/10166466. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107479/10166547. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 107480/10166574. ------ 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))((^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. ------ 107481/10166628. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 107482/10166691. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(b a)) REDUCED to normal form. ------ 107483/10166709. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (b (^y.(y y))) 6. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 107484/10166718. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 107485/10166772. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 107486/10166817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107487/10166853. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c b)) REDUCED to normal form. ------ 107488/10166880. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b c)) REDUCED to normal form. ------ 107489/10166916. ------ 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. ------ 107490/10166943. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 107491/10166997. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) a)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 107492/10167024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 107493/10167078. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 107494/10167105. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 107495/10167132. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 107496/10167186. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 107497/10167213. ------ 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. ------ 107498/10167240. ------ 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. ------ 107499/10167267. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a) a)) REDUCED to normal form. ------ 107500/10167378. ------ 1. ==[ start ]==> ((^a.b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(b (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 107501/10175073. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107502/10175163. ------ 1. ==[ start ]==> ((^a.(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))(b ((a a)(a a)))) 3. ==[ beta ]==> ((b ((a a)(a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 107503/10175190. ------ 1. ==[ start ]==> ((^a.b)(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(a (b (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 107504/10175193. ------ 1. ==[ start ]==> ((a b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 107505/10175271. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))((^y1.y1) a))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.x1)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 107506/10175460. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(b a))) 3. ==[ eta ]==> ((^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. ------ 107507/10175631. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 107508/10175913. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 107509/10175955. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107510/10176264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 107511/10176513. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a (a a))((a a)(^y.y)))((a (a a))((a a)(^y.y))))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a (a a))((a a)(^x.x)))((a (a a))((a a)(^y.y))))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 107512/10176846. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 107513/10177587. ------ 1. ==[ start ]==> (((^a.b) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 107514/10177875. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(^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. ------ 107515/10177884. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 107516/10178190. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(y (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 107517/10178295. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> ((((a b)(a (a a)))((a b)(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(a (a a)))((a b)(a (a a))))(^x.x)) REDUCED to normal form. ------ 107518/10178478. ------ 1. ==[ start ]==> (((a b) c)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107519/10178748. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(b 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))) REDUCED to normal form. ------ 107520/10179027. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(b y))) 3. ==[ eta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 107521/10179051. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))(a a))) 3. ==[ eta ]==> (b (((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 107522/10179531. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 107523/10179600. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 107524/10179783. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 107525/10179888. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 107526/10180224. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^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. ------ 107527/10180491. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107528/10181565. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((y y) y))) REDUCED to normal form. ------ 107529/10181844. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^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. ------ 107530/10182123. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 107531/10182231. ------ 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)))) REDUCED to normal form. ------ 107532/10182330. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.d)) 3. ==[ beta ]==> (b (^y.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 107533/10182339. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 107534/10182447. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 107535/10182618. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 107536/10182807. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 107537/10182834. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 107538/10182885. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107539/10182888. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.b)) REDUCED to normal form. ------ 107540/10182981. ------ 1. ==[ start ]==> ((a (a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 107541/10183008. ------ 1. ==[ start ]==> ((a b)(a (b (^a.a)))) 2. ==[ alpha ]==> ((a b)(a (b (^x.x)))) REDUCED to normal form. ------ 107542/10183062. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 107543/10183089. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 107544/10183224. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 107545/10183251. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.y))) REDUCED to normal form. ------ 107546/10183278. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))(b a))) 3. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 107547/10183323. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c (^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.y))) REDUCED to normal form. ------ 107548/10183350. ------ 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. ------ 107549/10183395. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a))(^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. ------ 107550/10183431. ------ 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. ------ 107551/10183449. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 107552/10183539. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107553/10183557. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.b))) 3. ==[ beta ]==> ((^y.(y y))((a b)(^z.b))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(^y.b))) 5. ==[ beta ]==> (((a b)(^y.b))((a b)(^y.b))) 6. ==[ alpha ]==> (((a b)(^x.b))((a b)(^y.b))) REDUCED to normal form. ------ 107554/10183584. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 107555/10183620. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 107556/10183647. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(b a))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(b a))) REDUCED to normal form. ------ 107557/10183665. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(^z.(^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))))) 5. ==[ beta ]==> ((a (a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 107558/10183674. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 107559/10183692. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 107560/10183701. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 107561/10183728. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 107562/10183746. ------ 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. ------ 107563/10183773. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 107564/10183863. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 107565/10184025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107566/10184052. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107567/10184124. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 107568/10184196. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(a (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. ------ 107569/10184223. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(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 (^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. ------ 107570/10184250. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)((a a) a))) 5. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 107571/10184277. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a) a)(a b))) REDUCED to normal form. ------ 107572/10184304. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107573/10184331. ------ 1. ==[ start ]==> ((a ((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 107574/10184457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 107575/10184484. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 107576/10184502. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)(^y.a))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.a))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.a))) REDUCED to normal form. ------ 107577/10184529. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(z1 z1)))) 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. ------ 107578/10184538. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 107579/10184565. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 107580/10184583. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.a))) 7. ==[ beta ]==> ((a a)((a b)(^y.a))) 8. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 107581/10184592. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 107582/10184646. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 107583/10184664. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 107584/10184997. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a) b)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 107585/10185051. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 107586/10185123. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z))) b)) 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. ------ 107587/10185249. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 107588/10185276. ------ 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))(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 107589/10185303. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 107590/10185330. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 107591/10185357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(b a))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(b a))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(b a))) 7. ==[ beta ]==> (a ((a (^y.y))(b a))) 8. ==[ alpha ]==> (a ((a (^x.x))(b a))) REDUCED to normal form. ------ 107592/10185384. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 107593/10185402. ------ 1. ==[ start ]==> (((^a.b) b)(a (^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 107594/10185447. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107595/10185474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 107596/10185528. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 107597/10185609. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 107598/10185618. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) b)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b) b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a b) b)((a a)(a a))) REDUCED to normal form. ------ 107599/10185645. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 107600/10185672. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 107601/10185690. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 107602/10185699. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 107603/10185744. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a) b)) 9. ==[ beta ]==> ((^y.y)((b a) b)) 10. ==[ alpha ]==> ((^x.x)((b a) b)) 11. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 107604/10185807. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 107605/10185834. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 107606/10185978. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (b a))) REDUCED to normal form. ------ 107607/10186005. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(a (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 107608/10186032. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a)(a a))) 3. ==[ beta ]==> ((((a a) a) a)((b a)(a a))) REDUCED to normal form. ------ 107609/10186059. ------ 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))(a (^z.z)))) REDUCED to normal form. ------ 107610/10186086. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 107611/10186113. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 107612/10186293. ------ 1. ==[ start ]==> (((a b) c)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 107613/10186365. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 107614/10186392. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 107615/10186401. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 107616/10186428. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 107617/10186482. ------ 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))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107618/10186509. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 107619/10186527. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 107620/10186536. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 107621/10186563. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 107622/10186788. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) a)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) a)(c ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b) a)(c (a a))) REDUCED to normal form. ------ 107623/10186815. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 107624/10186842. ------ 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. ------ 107625/10186869. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 107626/10187148. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 107627/10187175. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 107628/10187211. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 107629/10187229. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a b)(a b))(^y.(^z.z))) 8. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 107630/10187238. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 107631/10187292. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 107632/10187310. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 107633/10187319. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 107634/10187346. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 107635/10187418. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b) c)) REDUCED to normal form. ------ 107636/10187571. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(b (a a))) REDUCED to normal form. ------ 107637/10187598. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 107638/10187625. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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. ------ 107639/10187652. ------ 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)(a (^z.z)))) REDUCED to normal form. ------ 107640/10187706. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 107641/10187877. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 107642/10187994. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 107643/10188012. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 107644/10188021. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 107645/10188039. ------ 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)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 107646/10188093. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) b)) 7. ==[ beta ]==> (((a a)(a a))((a b) b)) REDUCED to normal form. ------ 107647/10188102. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 107648/10188129. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 107649/10188183. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 107650/10188210. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 107651/10188237. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 107652/10188282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107653/10188309. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) b)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 107654/10188327. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 107655/10188354. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(b a))((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 107656/10188381. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 107657/10188408. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) 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. ------ 107658/10188435. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a b)((a (^y.y))((a a) a))) 6. ==[ alpha ]==> ((a b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 107659/10188462. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(a b))) REDUCED to normal form. ------ 107660/10188588. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 107661/10188633. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 107662/10188660. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 107663/10189074. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107664/10189101. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 107665/10189119. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 107666/10189128. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y) a))) 7. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 107667/10189155. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 107668/10189182. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 107669/10189227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107670/10189263. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 107671/10189353. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (b a))(b (^y.y))) 6. ==[ alpha ]==> ((a (b a))(b (^x.x))) REDUCED to normal form. ------ 107672/10189380. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 107673/10189407. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a a))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107674/10189434. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 107675/10189461. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)((^y.y) a))) 3. ==[ beta ]==> (((a b)((a a) a))(a ((^y.y) a))) 4. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x) a))) 5. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 107676/10189488. ------ 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)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 107677/10189515. ------ 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)(^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. ------ 107678/10189659. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 107679/10189938. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 107680/10189965. ------ 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. ------ 107681/10189983. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 107682/10190010. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.a))) 5. ==[ beta ]==> ((a (^y.y))(^z.a)) 6. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 107683/10190019. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 107684/10190046. ------ 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 (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^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. ------ 107685/10190064. ------ 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 a)(b a))((a (a a)) a)) REDUCED to normal form. ------ 107686/10190127. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 107687/10190154. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.(z z))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 107688/10190208. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 107689/10190262. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 107690/10190289. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 107691/10190316. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(a (^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. ------ 107692/10190379. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (a a))) REDUCED to normal form. ------ 107693/10190406. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a (^z.z)))) REDUCED to normal form. ------ 107694/10190433. ------ 1. ==[ start ]==> (((a (a a))(b a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(a ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 107695/10190460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 107696/10190487. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 107697/10190514. ------ 1. ==[ start ]==> (((a b)(a b))(c a)) REDUCED to normal form. ------ 107698/10190541. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b b)) 3. ==[ beta ]==> (((a a)((a a) a))(b b)) REDUCED to normal form. ------ 107699/10190622. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (a (^z.z)))) REDUCED to normal form. ------ 107700/10190649. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 107701/10190676. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b a)) REDUCED to normal form. ------ 107702/10190703. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(a b)) REDUCED to normal form. ------ 107703/10190765. ------ 1. ==[ start ]==> (^a.((^b.a)(^b.b))) 2. ==[ alpha ]==> (^x.((^y.x)(^z.z))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 107704/10190766. ------ 1. ==[ start ]==> (a ((^b.a)(^b.b))) 2. ==[ alpha ]==> (a ((^x.a)(^y.y))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107705/10198518. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107706/10198590. ------ 1. ==[ start ]==> ((^a.a)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 3. ==[ beta ]==> ((^y.a)(^z.z)) 4. ==[ alpha ]==> ((^x.a)(^y.y)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 107707/10198656. ------ 1. ==[ start ]==> (((^a.a)(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 107708/10198680. ------ 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. ------ 107709/10198842. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(a b))) 3. ==[ beta ]==> (^y.((a b)(a b))) 4. ==[ alpha ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 107710/10199184. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))((a a) a))(((^y.(a a))((a a) a))((^y.(a a))((a a) a)))) 4. ==[ alpha ]==> (((^x.(a a))((a a) a))(((^y.(a a))((a a) a))((^z.(a a))((a a) a)))) 5. ==[ beta ]==> ((a a)(((^y.(a a))((a a) a))((^z.(a a))((a a) a)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))((a a) a))((^y.(a a))((a a) a)))) 7. ==[ beta ]==> ((a a)((a a)((^y.(a a))((a a) a)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))((a a) a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 107711/10199535. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107712/10200060. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (a (^z.((^x1.x1) b))) 6. ==[ alpha ]==> (a (^x.((^y.y) b))) 7. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 107713/10200402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))((^x.x) a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.y)) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 107714/10200867. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a b)((^z.z)(^x1.x1)))((a b)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a b)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (^x.(((a b)(^z.z))((a b)((^x1.x1)(^y1.y1))))) 6. ==[ alpha ]==> (^x.(((a b)(^y.y))((a b)((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.(((a b)(^y.y))((a b)(^x1.x1)))) 8. ==[ alpha ]==> (^x.(((a b)(^y.y))((a b)(^z.z)))) REDUCED to normal form. ------ 107715/10201050. ------ 1. ==[ start ]==> (((a b)(a a))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 107716/10201074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))(a a))((^z.(^x1.(^y1.y1)))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))(a a))((^y1.(^z1.(^x2.x2)))(a a)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a))((^y1.(^z1.(^x2.x2)))(a a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107717/10201338. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 107718/10201644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.(^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. ------ 107719/10201923. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(b a))) 3. ==[ beta ]==> (b (^z.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 107720/10202985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^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. ------ 107721/10203237. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 107722/10203921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107723/10203945. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107724/10204128. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 107725/10204260. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 107726/10205019. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 107727/10205259. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.a)((^z.z) a))((^y.a)((^z.z) a)))(((^y.a)((^z.z) a))((^y.a)((^z.z) a)))) 4. ==[ alpha ]==> ((((^x.a)((^y.y) a))((^z.a)((^x1.x1) a)))(((^y1.a)((^z1.z1) a))((^x2.a)((^y2.y2) a)))) 5. ==[ beta ]==> ((a ((^z.a)((^x1.x1) a)))(((^y1.a)((^z1.z1) a))((^x2.a)((^y2.y2) a)))) 6. ==[ alpha ]==> ((a ((^x.a)((^y.y) a)))(((^z.a)((^x1.x1) a))((^y1.a)((^z1.z1) a)))) 7. ==[ beta ]==> ((a a)(((^z.a)((^x1.x1) a))((^y1.a)((^z1.z1) a)))) 8. ==[ alpha ]==> ((a a)(((^x.a)((^y.y) a))((^z.a)((^x1.x1) a)))) 9. ==[ beta ]==> ((a a)(a ((^z.a)((^x1.x1) a)))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)((^y.y) a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107728/10205793. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.d)) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.d)) REDUCED to normal form. ------ 107729/10205991. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^x.a)) REDUCED to normal form. ------ 107730/10206072. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.a))) REDUCED to normal form. ------ 107731/10206153. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 107732/10206207. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 107733/10206261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107734/10206315. ------ 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. ------ 107735/10206339. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107736/10206342. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 107737/10206417. ------ 1. ==[ start ]==> ((a a)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 107738/10206453. ------ 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. ------ 107739/10206480. ------ 1. ==[ start ]==> (((^a.a)(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(a (b (^y.y)))) 3. ==[ beta ]==> ((a a)(a (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 107740/10206507. ------ 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. ------ 107741/10206516. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a)) b)) 3. ==[ beta ]==> (b ((^y.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 107742/10206543. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 107743/10206561. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107744/10206588. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((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. ------ 107745/10206615. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 107746/10206642. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 107747/10206669. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(a b))) REDUCED to normal form. ------ 107748/10206750. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.a)((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.a)((a (a a))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 107749/10206777. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 107750/10206831. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)((a a)(a a)))) REDUCED to normal form. ------ 107751/10206867. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(^x1.x1))) REDUCED to normal form. ------ 107752/10206894. ------ 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. ------ 107753/10206930. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 107754/10207011. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 107755/10207083. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 107756/10207137. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107757/10207164. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 107758/10207218. ------ 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. ------ 107759/10207254. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^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. ------ 107760/10207281. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 107761/10207362. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 107762/10207533. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 107763/10207569. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) a)) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 107764/10207587. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(a a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 107765/10207596. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 107766/10207830. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 107767/10207884. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)((^z.z) b))) 5. ==[ beta ]==> (a ((a a)((^z.z) b))) 6. ==[ alpha ]==> (a ((a a)((^x.x) b))) 7. ==[ beta ]==> (a ((a a) b)) REDUCED to normal form. ------ 107768/10207920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> (b (((^y.y) b)(^z.z))) 6. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 7. ==[ beta ]==> (b (b (^y.y))) 8. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 107769/10207947. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 107770/10208001. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 107771/10208028. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 107772/10208055. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 107773/10208082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107774/10208109. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 107775/10208145. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 107776/10208172. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 107777/10208199. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 107778/10208226. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y) b)) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x) b)) 7. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 107779/10208253. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b)(^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. ------ 107780/10208280. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 107781/10208298. ------ 1. ==[ start ]==> (((^a.b) a)((b a) c)) 2. ==[ alpha ]==> (((^x.b) a)((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 107782/10208505. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (b a))) 3. ==[ beta ]==> ((a b)(c (b a))) REDUCED to normal form. ------ 107783/10208532. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 107784/10208568. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 107785/10208586. ------ 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)))(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 107786/10208595. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1))) b)) 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. ------ 107787/10208667. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 107788/10208694. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a b)(^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 107789/10208847. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107790/10208874. ------ 1. ==[ start ]==> (((a b)(a a))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(a (^x.x))) REDUCED to normal form. ------ 107791/10208901. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 107792/10209081. ------ 1. ==[ start ]==> (((a b) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 107793/10209162. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 107794/10209216. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 107795/10209360. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 107796/10209387. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 107797/10209414. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 107798/10209468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^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. ------ 107799/10209513. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a) b)) 2. ==[ alpha ]==> (((^x.b) c)((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 107800/10209612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 107801/10209747. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 107802/10209783. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)(^y.y))) 3. ==[ beta ]==> (((a a) b)((b a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((b a)(^x.x))) REDUCED to normal form. ------ 107803/10209810. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 107804/10209864. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 107805/10209891. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 107806/10209945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107807/10209972. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 107808/10209999. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 107809/10210053. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a) a)) REDUCED to normal form. ------ 107810/10210116. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 107811/10210143. ------ 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. ------ 107812/10210197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107813/10210224. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 107814/10210251. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 107815/10210422. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 107816/10210503. ------ 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. ------ 107817/10210674. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 107818/10210701. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 107819/10210755. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 107820/10210782. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 107821/10210809. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 107822/10210836. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 107823/10210899. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 107824/10210953. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 107825/10210980. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 107826/10211007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 107827/10211034. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 107828/10211061. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.a)(^c.(^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. ------ 107829/10211178. ------ 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)(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107830/10211259. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(a b))) 5. ==[ beta ]==> ((a a)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(a b))) REDUCED to normal form. ------ 107831/10211484. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 107832/10211565. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b) b)) REDUCED to normal form. ------ 107833/10211592. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a) c)) 5. ==[ beta ]==> ((^y.b)(((a a) a) c)) 6. ==[ alpha ]==> ((^x.b)(((a a) a) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 107834/10211745. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107835/10211754. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 107836/10211772. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(a a))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a a))) REDUCED to normal form. ------ 107837/10211898. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.a))) 5. ==[ beta ]==> ((a b)(c (^y.a))) 6. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 107838/10211925. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.b))) REDUCED to normal form. ------ 107839/10211952. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 107840/10211979. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a a))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 107841/10212051. ------ 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 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. ------ 107842/10212060. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 107843/10212087. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 107844/10212258. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (a (a a)))) 3. ==[ beta ]==> (b (d (a (a a)))) REDUCED to normal form. ------ 107845/10212366. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(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. ------ 107846/10212375. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 107847/10212402. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 107848/10212420. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a (a a))((^y.y) a))) 6. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 7. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 107849/10212447. ------ 1. ==[ start ]==> (((^a.(^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 a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(a (a a))) 6. ==[ alpha ]==> (((^x.x) a)(a (a a))) 7. ==[ beta ]==> (a (a (a a))) REDUCED to normal form. ------ 107850/10212501. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 107851/10212537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107852/10212564. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 107853/10212591. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 107854/10212618. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 107855/10212645. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 107856/10212699. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a) a)) REDUCED to normal form. ------ 107857/10212726. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.x))((^z.z) b)) 6. ==[ alpha ]==> ((b (^x.x))((^y.y) b)) 7. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 107858/10212762. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a) b)((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 107859/10212789. ------ 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 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 107860/10212816. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 107861/10212978. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 107862/10213032. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(a 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. ------ 107863/10213059. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((b (a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((b (a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 107864/10213086. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 107865/10213257. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 107866/10213365. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107867/10213428. ------ 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. ------ 107868/10213473. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c c)) 3. ==[ beta ]==> ((^y.y)(c c)) 4. ==[ alpha ]==> ((^x.x)(c c)) 5. ==[ beta ]==> (c c) REDUCED to normal form. ------ 107869/10213482. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 107870/10213509. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 107871/10213590. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y)) c)) REDUCED to normal form. ------ 107872/10213608. ------ 1. ==[ start ]==> (((^a.b)(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(b ((^y.y) a))) 3. ==[ beta ]==> (b (b ((^y.y) a))) 4. ==[ alpha ]==> (b (b ((^x.x) a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 107873/10213671. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 107874/10213716. ------ 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.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. ------ 107875/10213752. ------ 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. ------ 107876/10213779. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 107877/10213815. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x) a)) 5. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 107878/10213842. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 107879/10213869. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 107880/10213896. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.a)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 107881/10213950. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 107882/10213977. ------ 1. ==[ start ]==> (((a b)(a b))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.a))) REDUCED to normal form. ------ 107883/10214004. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 107884/10214031. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 107885/10214085. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 107886/10214112. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 107887/10214139. ------ 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. ------ 107888/10214166. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 107889/10221990. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107890/10222080. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107891/10222146. ------ 1. ==[ start ]==> (((a a)(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 107892/10222206. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((^z.z) c)(^y.y)) 4. ==[ alpha ]==> (((^x.x) c)(^y.y)) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 107893/10222497. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 107894/10222566. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 107895/10222866. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 107896/10222890. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107897/10223226. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 107898/10223781. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 107899/10223961. ------ 1. ==[ start ]==> ((^a.(a b))((b a) c)) 2. ==[ alpha ]==> ((^x.(x b))((b a) c)) 3. ==[ beta ]==> (((b a) c) b) REDUCED to normal form. ------ 107900/10224225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 107901/10224522. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(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. ------ 107902/10224555. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1)))(^y1.y1))((a (^z.(^x1.x1)))(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z)))(^x1.x1))((a (^y1.(^z1.z1)))(^x2.x2)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1))((a (^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 107903/10225413. ------ 1. ==[ start ]==> (((a b) c)(^c.(b a))) 2. ==[ alpha ]==> (((a b) c)(^x.(b a))) REDUCED to normal form. ------ 107904/10226223. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 107905/10226535. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 107906/10227402. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107907/10227411. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 x1))) REDUCED to normal form. ------ 107908/10227741. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 107909/10228347. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^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. ------ 107910/10228740. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((((^y.y) a)(^z.a))(((^y.y) a)(^z.a)))((((^y.y) a)(^z.a))(((^y.y) a)(^z.a)))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.a))(((^z.z) a)(^x1.a)))((((^y1.y1) a)(^z1.a))(((^x2.x2) a)(^y2.a)))) 5. ==[ beta ]==> (((a (^y.a))(((^z.z) a)(^x1.a)))((((^y1.y1) a)(^z1.a))(((^x2.x2) a)(^y2.a)))) 6. ==[ alpha ]==> (((a (^x.a))(((^y.y) a)(^z.a)))((((^x1.x1) a)(^y1.a))(((^z1.z1) a)(^x2.a)))) 7. ==[ beta ]==> (((a (^x.a))(a (^z.a)))((((^x1.x1) a)(^y1.a))(((^z1.z1) a)(^x2.a)))) 8. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))((((^z.z) a)(^x1.a))(((^y1.y1) a)(^z1.a)))) 9. ==[ beta ]==> (((a (^x.a))(a (^y.a)))((a (^x1.a))(((^y1.y1) a)(^z1.a)))) 10. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))((a (^z.a))(((^x1.x1) a)(^y1.a)))) 11. ==[ beta ]==> (((a (^x.a))(a (^y.a)))((a (^z.a))(a (^y1.a)))) 12. ==[ alpha ]==> (((a (^x.a))(a (^y.a)))((a (^z.a))(a (^x1.a)))) REDUCED to normal form. ------ 107911/10229058. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(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)))) REDUCED to normal form. ------ 107912/10229184. ------ 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)))) REDUCED to normal form. ------ 107913/10229382. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^x1.a)) REDUCED to normal form. ------ 107914/10229553. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.c)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 107915/10229634. ------ 1. ==[ start ]==> (((a b)(a b))(^b.c)) 2. ==[ alpha ]==> (((a b)(a b))(^x.c)) REDUCED to normal form. ------ 107916/10229796. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 107917/10229820. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107918/10229823. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 107919/10229916. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 107920/10229952. ------ 1. ==[ start ]==> (((a a) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 107921/10229979. ------ 1. ==[ start ]==> (((a a)(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 107922/10230006. ------ 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. ------ 107923/10230033. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 107924/10230042. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) c)) 3. ==[ beta ]==> ((a (a (^x.x))) c) REDUCED to normal form. ------ 107925/10230060. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 107926/10230087. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(a (a a)))) REDUCED to normal form. ------ 107927/10230114. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 107928/10230141. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((a a) a))) REDUCED to normal form. ------ 107929/10230195. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 107930/10230276. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(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. ------ 107931/10230303. ------ 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. ------ 107932/10230321. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(a a)))) 5. ==[ beta ]==> (a (b (^y.(a a)))) 6. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 107933/10230330. ------ 1. ==[ start ]==> (((a a)(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 107934/10230402. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 107935/10230420. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 107936/10230447. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 107937/10230474. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 107938/10230510. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))((a a) a))) 5. ==[ beta ]==> (((^y.(a a))((a a) a))((^y.(a a))((a a) a))) 6. ==[ alpha ]==> (((^x.(a a))((a a) a))((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107939/10230537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.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. ------ 107940/10230591. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107941/10230618. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(b a))) 5. ==[ beta ]==> ((a (a a))((b a)(b a))) REDUCED to normal form. ------ 107942/10230645. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(a (^y1.(^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. ------ 107943/10230699. ------ 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)(a a))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 107944/10230726. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 107945/10230744. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b) b)) 3. ==[ beta ]==> (((a a)(a (a a)))(b b)) REDUCED to normal form. ------ 107946/10230861. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107947/10230888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 107948/10230942. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107949/10230996. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 107950/10231005. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 107951/10231023. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107952/10231032. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 107953/10231059. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 107954/10231086. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 107955/10231113. ------ 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)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 107956/10231374. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b (^z.z))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b (^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b (^z.z))) 5. ==[ beta ]==> (a (b (^z.z))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 107957/10231455. ------ 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)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 107958/10231536. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 107959/10231617. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 107960/10231689. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 107961/10231716. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)(^b.b))) 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. ------ 107962/10231743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 107963/10231770. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 107964/10231797. ------ 1. ==[ start ]==> ((a (a b))((b a) c)) REDUCED to normal form. ------ 107965/10231887. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)(^x1.a))) IRREDUCIBLE: cycle. ------ 107966/10231968. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107967/10232004. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (b a))) REDUCED to normal form. ------ 107968/10232022. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107969/10232058. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 107970/10232085. ------ 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)))(a a))) REDUCED to normal form. ------ 107971/10232112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.a)((b a)(a (^y.y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 107972/10232139. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 107973/10232166. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 107974/10232355. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 107975/10232391. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 107976/10232400. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107977/10232481. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 7. ==[ beta ]==> ((^y.(a a))(a (a a))) 8. ==[ alpha ]==> ((^x.(a a))(a (a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107978/10232562. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 107979/10232616. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 107980/10232643. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 107981/10232697. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.z1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 12. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 107982/10232778. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 107983/10232985. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 107984/10233003. ------ 1. ==[ start ]==> (((^a.b) c)((b a)(a a))) 2. ==[ alpha ]==> (((^x.b) c)((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 107985/10233246. ------ 1. ==[ start ]==> (((a b) c)((a a)(b a))) REDUCED to normal form. ------ 107986/10233345. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a 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. ------ 107987/10233480. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 107988/10233579. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 107989/10234056. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 107990/10234101. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 107991/10234128. ------ 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))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 107992/10234182. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 107993/10234263. ------ 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) REDUCED to normal form. ------ 107994/10234371. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 107995/10234389. ------ 1. ==[ start ]==> (((a a)(b a))((a b) c)) REDUCED to normal form. ------ 107996/10234605. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 107997/10234650. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) 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. ------ 107998/10234749. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.b))) 5. ==[ beta ]==> ((a a)(c (^z.b))) 6. ==[ alpha ]==> ((a a)(c (^x.b))) REDUCED to normal form. ------ 107999/10234830. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (b ((^x1.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 108000/10234938. ------ 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 y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108001/10234965. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 108002/10234992. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108003/10235046. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.z))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.y))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 108004/10235127. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108005/10235190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c ((a a) a))) REDUCED to normal form. ------ 108006/10235235. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108007/10235244. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 108008/10235280. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 108009/10235307. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) c)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 108010/10235469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(^y.y))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 108011/10235496. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) 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. ------ 108012/10235550. ------ 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 z)))) REDUCED to normal form. ------ 108013/10235577. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 108014/10235586. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108015/10235613. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((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. ------ 108016/10235748. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 108017/10235865. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(a a))) REDUCED to normal form. ------ 108018/10235892. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 108019/10235919. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 108020/10235946. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a (a a)))) REDUCED to normal form. ------ 108021/10235991. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 108022/10236072. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108023/10236180. ------ 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)((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. ------ 108024/10236252. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a)) c)) 3. ==[ beta ]==> (((a a) b)((a (a a)) c)) REDUCED to normal form. ------ 108025/10236387. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 108026/10236414. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x)) c)) 3. ==[ beta ]==> (((a b)((a a) a))(c c)) REDUCED to normal form. ------ 108027/10236522. ------ 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)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.x1)) REDUCED to normal form. ------ 108028/10236549. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 108029/10236576. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) 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. ------ 108030/10236612. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108031/10236747. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108032/10236855. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108033/10236891. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(a (a a)))) 3. ==[ beta ]==> ((b b)((a a)(a (a a)))) REDUCED to normal form. ------ 108034/10236936. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 108035/10236963. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108036/10236972. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c c)) REDUCED to normal form. ------ 108037/10237017. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((b a)(b a))(a (a a))) REDUCED to normal form. ------ 108038/10237080. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (a (^y.y)))) REDUCED to normal form. ------ 108039/10237098. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108040/10237107. ------ 1. ==[ start ]==> (((a b)(^a.b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(b ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.b))(b a)) REDUCED to normal form. ------ 108041/10237161. ------ 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)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 108042/10237206. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 108043/10237215. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a a) a)) REDUCED to normal form. ------ 108044/10237305. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.a))) REDUCED to normal form. ------ 108045/10237332. ------ 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. ------ 108046/10237359. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z)) b)) REDUCED to normal form. ------ 108047/10237386. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a) c)) REDUCED to normal form. ------ 108048/10237413. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 108049/10237440. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 108050/10237467. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(a b))((^x.x) c)) 3. ==[ beta ]==> (((a b)(a b)) c) REDUCED to normal form. ------ 108051/10237494. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 108052/10237521. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 108053/10237575. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) b)) REDUCED to normal form. ------ 108054/10237602. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 108055/10237629. ------ 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. ------ 108056/10237656. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 108057/10241655. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(b y))) 3. ==[ eta ]==> (b (^y.(b y))) 4. ==[ alpha ]==> (b (^x.(b x))) 5. ==[ eta ]==> (b b) REDUCED to normal form. ------ 108058/10245633. ------ 1. ==[ start ]==> ((^a.b)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)(b ((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 108059/10245714. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^z.z) b)(a (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> ((b (a (^y.y)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 108060/10245903. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 108061/10246074. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 108062/10246383. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 108063/10246398. ------ 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. ------ 108064/10246734. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 108065/10246956. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))((^x1.x1)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a))))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))(((^x2.x2)(^y2.y2))((^z2.z2)(a a)))) 5. ==[ beta ]==> ((((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a))))(((^x2.x2)(^y2.y2))((^z2.z2)(a a)))) 6. ==[ alpha ]==> ((((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a))))(((^z1.z1)(^x2.x2))((^y2.y2)(a a)))) 7. ==[ beta ]==> ((((^y.y)(a a))(((^z.z)(^x1.x1))((^y1.y1)(a a))))(((^z1.z1)(^x2.x2))((^y2.y2)(a a)))) 8. ==[ alpha ]==> ((((^x.x)(a a))(((^y.y)(^z.z))((^x1.x1)(a a))))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 9. ==[ beta ]==> (((a a)(((^y.y)(^z.z))((^x1.x1)(a a))))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 10. ==[ alpha ]==> (((a a)(((^x.x)(^y.y))((^z.z)(a a))))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 11. ==[ beta ]==> (((a a)((^y.y)((^z.z)(a a))))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 12. ==[ alpha ]==> (((a a)((^x.x)((^y.y)(a a))))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 13. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 14. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 15. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 16. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(a a)))) 17. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 18. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 19. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 20. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 21. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 108066/10247085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(y y)))) 5. ==[ beta ]==> (b (^y.(^z.(y y)))) 6. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 108067/10247289. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 108068/10247733. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.(^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. ------ 108069/10248039. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 108070/10248660. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) 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. ------ 108071/10248738. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((((^z.z)(a a))((^x1.x1) a))(((^z.z)(a a))((^x1.x1) a)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))(^y1.y1)) 5. ==[ beta ]==> ((((a a)((^y.y) a))(((^z.z)(a a))((^x1.x1) a)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)((^x.x) a))(((^y.y)(a a))((^z.z) a)))(^x1.x1)) 7. ==[ beta ]==> ((((a a) a)(((^y.y)(a a))((^z.z) a)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a) a)(((^x.x)(a a))((^y.y) a)))(^z.z)) 9. ==[ beta ]==> ((((a a) a)((a a)((^y.y) a)))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)((a a)((^x.x) a)))(^y.y)) 11. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 12. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 108072/10248921. ------ 1. ==[ start ]==> (((a b) c)(^d.(^d.a))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.a))) REDUCED to normal form. ------ 108073/10248948. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 108074/10249218. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z a))) REDUCED to normal form. ------ 108075/10249494. ------ 1. ==[ start ]==> ((^a.(b a))(a (b a))) 2. ==[ alpha ]==> ((^x.(b x))(a (b a))) 3. ==[ eta ]==> (b (a (b a))) REDUCED to normal form. ------ 108076/10249497. ------ 1. ==[ start ]==> ((a (b a))(^a.(b a))) 2. ==[ alpha ]==> ((a (b a))(^x.(b x))) 3. ==[ eta ]==> ((a (b a)) b) REDUCED to normal form. ------ 108077/10250001. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 108078/10250043. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 108079/10250253. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 108080/10250331. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)((^x1.x1) a))(^y.(^z.z))) 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. ------ 108081/10250919. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 108082/10250934. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108083/10251117. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(a b))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(a b))) REDUCED to normal form. ------ 108084/10251702. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108085/10251864. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.((a a) a))) REDUCED to normal form. ------ 108086/10252035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((z z) z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((z z) z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y) y))) 7. ==[ beta ]==> ((a a)(^y.((y y) y))) 8. ==[ alpha ]==> ((a a)(^x.((x x) x))) REDUCED to normal form. ------ 108087/10252593. ------ 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. ------ 108088/10252692. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 108089/10252917. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 108090/10253088. ------ 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.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.z)) 7. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 108091/10253142. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a (^y.y)))) REDUCED to normal form. ------ 108092/10253277. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 108093/10253328. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108094/10253442. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (a ((^y.a)(^z.z))) 4. ==[ alpha ]==> (a ((^x.a)(^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108095/10253478. ------ 1. ==[ start ]==> ((a b)(b ((a a)(a a)))) REDUCED to normal form. ------ 108096/10253532. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 108097/10253559. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 108098/10253568. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108099/10253694. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 108100/10253721. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 108101/10253748. ------ 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)(^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. ------ 108102/10253847. ------ 1. ==[ start ]==> (((a a)(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 108103/10253919. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 108104/10254054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.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. ------ 108105/10254090. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 108106/10254117. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 108107/10254144. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((b a)(b a))) REDUCED to normal form. ------ 108108/10254162. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(^y1.(^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. ------ 108109/10254171. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 108110/10254198. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108111/10254225. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 108112/10254243. ------ 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. ------ 108113/10254468. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 108114/10254522. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 108115/10254549. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 108116/10254576. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(a a))) REDUCED to normal form. ------ 108117/10254666. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 108118/10254693. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 108119/10254720. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 108120/10254747. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)((a a) a))) REDUCED to normal form. ------ 108121/10254774. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a b))) 5. ==[ beta ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 108122/10254801. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a a))) 7. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 108123/10254927. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 108124/10254954. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 108125/10254972. ------ 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)))(^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)))) REDUCED to normal form. ------ 108126/10254999. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 108127/10255053. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)((a a)(^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 108128/10255062. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 108129/10255089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108130/10255134. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 108131/10255305. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 108132/10255323. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a) c)) 3. ==[ beta ]==> ((^y.b)((b a) c)) 4. ==[ alpha ]==> ((^x.b)((b a) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108133/10255467. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 108134/10255494. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 108135/10255575. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108136/10255593. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 108137/10255674. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 108138/10255719. ------ 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. ------ 108139/10255746. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 108140/10255773. ------ 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))(a b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(a b))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a b))) 9. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 108141/10255800. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))(a a))) REDUCED to normal form. ------ 108142/10255827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (a (((^y.y) a)((a a)(^z.z)))) 8. ==[ alpha ]==> (a (((^x.x) a)((a a)(^y.y)))) 9. ==[ beta ]==> (a (a ((a a)(^y.y)))) 10. ==[ alpha ]==> (a (a ((a a)(^x.x)))) REDUCED to normal form. ------ 108143/10255854. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 108144/10255872. ------ 1. ==[ start ]==> (((^a.b) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 108145/10255881. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 108146/10255917. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108147/10255944. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 108148/10255998. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 8. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 9. ==[ beta ]==> ((a a)(^y.(y y))) 10. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 108149/10256079. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 108150/10256088. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 108151/10256115. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 108152/10256142. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 108153/10256169. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 108154/10256214. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1))) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1))) a)) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) a)) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 11. ==[ beta ]==> ((a (^y.(^z.z))) a) 12. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 108155/10256223. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 108156/10256277. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 108157/10256304. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 108158/10256331. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 108159/10256475. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (b a))) 5. ==[ beta ]==> ((a (a a))(b (b a))) REDUCED to normal form. ------ 108160/10256502. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 108161/10256529. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 108162/10256556. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 108163/10256583. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 108164/10256763. ------ 1. ==[ start ]==> (((a b) c)(b (^d.a))) 2. ==[ alpha ]==> (((a b) c)(b (^x.a))) REDUCED to normal form. ------ 108165/10256790. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 108166/10256835. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 108167/10256862. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 108168/10256871. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 108169/10256898. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 108170/10256916. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 108171/10256952. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108172/10256979. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 108173/10256997. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 108174/10257006. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 108175/10257033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108176/10257060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 108177/10257312. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 108178/10257339. ------ 1. ==[ start ]==> ((a (b a))(a (b a))) REDUCED to normal form. ------ 108179/10257573. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b (^y.(^z.z)))) REDUCED to normal form. ------ 108180/10257618. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 108181/10257645. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.z))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 108182/10257681. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 108183/10257699. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 108184/10257708. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 108185/10257762. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 108186/10257780. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 108187/10257789. ------ 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) REDUCED to normal form. ------ 108188/10257816. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 108189/10257843. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 108190/10257888. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 108191/10258068. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(b (a a))) REDUCED to normal form. ------ 108192/10258095. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a ((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 108193/10258122. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 108194/10258176. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((a a) a) a)) REDUCED to normal form. ------ 108195/10258347. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 108196/10258455. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108197/10258464. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 108198/10258491. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 108199/10258509. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 108200/10258563. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) a)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) a)) 9. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 108201/10258572. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 108202/10258599. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.b)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 108203/10258653. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108204/10258680. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 108205/10258707. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 108206/10258761. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a a))) REDUCED to normal form. ------ 108207/10258779. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 108208/10258797. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(a a))) REDUCED to normal form. ------ 108209/10258824. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 108210/10258851. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z) a)) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y) a)) 9. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 108211/10258878. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 108212/10258905. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)(a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a b)(a ((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a b)(a (^y.y))) 10. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 108213/10258932. ------ 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. ------ 108214/10258959. ------ 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. ------ 108215/10259058. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 108216/10259103. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 108217/10259265. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a)) d)) 3. ==[ beta ]==> (b ((a (a a)) d)) REDUCED to normal form. ------ 108218/10259373. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108219/10259427. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (b ((^y.(^z.z)) c)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108220/10259544. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.b))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.b))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108221/10259571. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 108222/10259589. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 108223/10259598. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 108224/10259625. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(((^x1.x1) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1) a))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 108225/10259652. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 108226/10259706. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a) a)) REDUCED to normal form. ------ 108227/10259733. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 108228/10259823. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (a (a a)))) 3. ==[ beta ]==> ((a (b a))(c (a (a a)))) REDUCED to normal form. ------ 108229/10259850. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (^y.y))) REDUCED to normal form. ------ 108230/10259877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a ((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a ((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))(a ((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a ((a a) a))) 7. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 108231/10259904. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 108232/10259931. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 108233/10259958. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 108234/10259985. ------ 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))(a (a a)))) REDUCED to normal form. ------ 108235/10260129. ------ 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 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 108236/10260372. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108237/10260408. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.(y y)))) 3. ==[ beta ]==> ((b b)(b (^y.(y y)))) 4. ==[ alpha ]==> ((b b)(b (^x.(x x)))) REDUCED to normal form. ------ 108238/10260435. ------ 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. ------ 108239/10260453. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 108240/10260480. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.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. ------ 108241/10260489. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 108242/10260516. ------ 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.x2) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 108243/10260534. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 108244/10260597. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 108245/10260615. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y)) c)) 3. ==[ beta ]==> (b ((a (^y.y)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 108246/10260624. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 108247/10260732. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.a))) REDUCED to normal form. ------ 108248/10260759. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.(z z)))) REDUCED to normal form. ------ 108249/10260786. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 108250/10260822. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b c)) REDUCED to normal form. ------ 108251/10260903. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (a (^x.x)))) REDUCED to normal form. ------ 108252/10260930. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 108253/10260957. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 108254/10260984. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 108255/10261038. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 108256/10261092. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (a a))) REDUCED to normal form. ------ 108257/10261119. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 108258/10261146. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 108259/10261173. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(b a)) REDUCED to normal form. ------ 108260/10261262. ------ 1. ==[ start ]==> (^a.((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^x.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 108261/10261263. ------ 1. ==[ start ]==> (a ((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 108262/10261356. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108263/10263750. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 108264/10266621. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108265/10269015. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108266/10269108. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1)))) a) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) a) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) a) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108267/10269114. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108268/10269141. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^z.z))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108269/10269168. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 108270/10269204. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108271/10269207. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 108272/10269366. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (^x.((a a)((a a) a))) REDUCED to normal form. ------ 108273/10270287. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 108274/10270953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(a (^z.z)))(^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)) REDUCED to normal form. ------ 108275/10271004. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 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. ------ 108276/10271286. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 108277/10271391. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 5. ==[ beta ]==> (^x.(((a a)(a (a a)))(((^z.z)(a a))(a (a a))))) 6. ==[ alpha ]==> (^x.(((a a)(a (a a)))(((^y.y)(a a))(a (a a))))) 7. ==[ beta ]==> (^x.(((a a)(a (a a)))((a a)(a (a a))))) REDUCED to normal form. ------ 108278/10271598. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 108279/10271601. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.(^b.b))) 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. ------ 108280/10272195. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(^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. ------ 108281/10273788. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.(^c.(^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. ------ 108282/10274469. ------ 1. ==[ start ]==> ((^a.(^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108283/10274472. ------ 1. ==[ start ]==> ((a (^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 108284/10274679. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(x x)))) REDUCED to normal form. ------ 108285/10274784. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108286/10275066. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(z1 b))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(z1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108287/10275570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.a))) 8. ==[ alpha ]==> ((a a)(^x.(^y.a))) REDUCED to normal form. ------ 108288/10275783. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((^y.(y y))(a (^z.z)))((^y.(y y))(a (^z.z))))(((^y.(y y))(a (^z.z)))((^y.(y y))(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.(x x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(((^y1.(y1 y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 5. ==[ beta ]==> ((((a (^y.y))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(((^y1.(y1 y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 6. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((^z.(z z))(a (^x1.x1))))(((^y1.(y1 y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 7. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^x1.x1))(a (^x1.x1))))(((^y1.(y1 y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 8. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((^y1.(y1 y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 9. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((a (^z1.z1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 10. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((a (^y1.y1))(a (^z1.z1)))((^x2.(x2 x2))(a (^y2.y2))))) 11. ==[ beta ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((a (^y1.y1))(a (^z1.z1)))((a (^y2.y2))(a (^y2.y2))))) 12. ==[ alpha ]==> ((((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1))))(((a (^y1.y1))(a (^z1.z1)))((a (^x2.x2))(a (^y2.y2))))) REDUCED to normal form. ------ 108289/10276542. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.((^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)(^y.a)) REDUCED to normal form. ------ 108290/10276623. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 108291/10276704. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 108292/10276812. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 108293/10276863. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108294/10276866. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 108295/10276956. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.x2)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108296/10276968. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 108297/10276995. ------ 1. ==[ start ]==> ((a (a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 108298/10277022. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 108299/10277031. ------ 1. ==[ start ]==> (((^a.a)(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 108300/10277058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 108301/10277112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108302/10277121. ------ 1. ==[ start ]==> (((a a) b)((^b.b) c)) 2. ==[ alpha ]==> (((a a) b)((^x.x) c)) 3. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 108303/10277139. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 108304/10277166. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 108305/10277193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(^z.z))((^x1.x1)(^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. ------ 108306/10277220. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 108307/10277301. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 108308/10277328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 108309/10277382. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (a ((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 108310/10277409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 108311/10277445. ------ 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. ------ 108312/10277481. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 108313/10277508. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.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. ------ 108314/10277553. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 108315/10277634. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 108316/10277715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 108317/10277742. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 108318/10277832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 108319/10277859. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 108320/10278138. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 108321/10278174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) b)) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 108322/10278381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^y1.y1)))) 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. ------ 108323/10278435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 108324/10278498. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 108325/10278552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(^x1.a))) REDUCED to normal form. ------ 108326/10278579. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 108327/10278606. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 108328/10278633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108329/10278660. ------ 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. ------ 108330/10278696. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 108331/10278723. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^x1.x1))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 108332/10278750. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.a)(b a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.a)(b a))) 5. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 108333/10278777. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 108334/10278804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 108335/10278831. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b)(^a.a))) 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. ------ 108336/10278849. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 108337/10278858. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 108338/10279137. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 108339/10279146. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 108340/10279173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108341/10279218. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a 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. ------ 108342/10279227. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 108343/10279245. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 108344/10279425. ------ 1. ==[ start ]==> (((a b)(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 108345/10279452. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 108346/10279632. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b) b)(^y.b)) 6. ==[ alpha ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 108347/10279659. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 108348/10279686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 108349/10279767. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 108350/10279794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a) b)) 5. ==[ beta ]==> ((^y.(y y))((b a) b)) 6. ==[ alpha ]==> ((^x.(x x))((b a) b)) 7. ==[ beta ]==> (((b a) b)((b a) b)) REDUCED to normal form. ------ 108351/10279821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 108352/10279938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 108353/10279965. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 108354/10279992. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 108355/10280046. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 108356/10280064. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 108357/10280163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 108358/10280298. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 108359/10280361. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a)(^y.y))) REDUCED to normal form. ------ 108360/10280415. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.a))) REDUCED to normal form. ------ 108361/10280442. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.b))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(^y.(y y)))) REDUCED to normal form. ------ 108362/10280496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108363/10280523. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 108364/10280550. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 108365/10280694. ------ 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. ------ 108366/10280721. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 108367/10280775. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))(^c.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. ------ 108368/10280802. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a b) a)((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a b) a)((^x.b)(^y.b))) 7. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 108369/10280829. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 108370/10280973. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)((^z.z) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)((^z.z) a))) 5. ==[ beta ]==> (b ((a b)((^z.z) a))) 6. ==[ alpha ]==> (b ((a b)((^x.x) a))) 7. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 108371/10281054. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 108372/10281225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 108373/10281252. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 108374/10281306. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 108375/10281333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.b))) REDUCED to normal form. ------ 108376/10281360. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 108377/10281450. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 108378/10281477. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 108379/10281531. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 108380/10281585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 108381/10281612. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 108382/10281711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108383/10281729. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108384/10281810. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a a)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a a)(a ((a a) a))) REDUCED to normal form. ------ 108385/10282008. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 108386/10282116. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 108387/10282143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b) b)) 5. ==[ beta ]==> ((^y.b)((a b) b)) 6. ==[ alpha ]==> ((^x.b)((a b) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 108388/10282296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(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. ------ 108389/10282323. ------ 1. ==[ start ]==> ((a (^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 108390/10282503. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 108391/10282530. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 108392/10282557. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 108393/10282602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^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. ------ 108394/10282611. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 108395/10282638. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 108396/10282917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108397/10282926. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 108398/10282953. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) b)) 3. ==[ beta ]==> ((b a)((^y.a) b)) 4. ==[ alpha ]==> ((b a)((^x.a) b)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 108399/10282971. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 8. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 108400/10282980. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 108401/10282998. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 108402/10283052. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 108403/10283115. ------ 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. ------ 108404/10283142. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 108405/10283169. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 108406/10283196. ------ 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 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(z z)))) REDUCED to normal form. ------ 108407/10283277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a) a)) 3. ==[ beta ]==> ((b (^y.y))(((a a) a) a)) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 108408/10283313. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) 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. ------ 108409/10283340. ------ 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 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 108410/10283367. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 108411/10283394. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 108412/10283610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 108413/10283637. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 108414/10283673. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 108415/10283808. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c ((^z.z) a))) 3. ==[ beta ]==> (b (c ((^z.z) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 108416/10283916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108417/10284033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 108418/10284060. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 108419/10284141. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 108420/10284159. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (a (^y.y)))) 3. ==[ beta ]==> (b (c (a (^y.y)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 108421/10284168. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y)) c)) REDUCED to normal form. ------ 108422/10284222. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 108423/10284267. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 108424/10284276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 108425/10284330. ------ 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. ------ 108426/10284366. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 108427/10284393. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 108428/10284420. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 108429/10284447. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 108430/10284474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 108431/10284528. ------ 1. ==[ start ]==> (((a b)(a b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 108432/10284555. ------ 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. ------ 108433/10284582. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 108434/10284636. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 108435/10284663. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 108436/10284690. ------ 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. ------ 108437/10284717. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 108438/10284807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a a)) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108439/10285638. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108440/10290174. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108441/10292568. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108442/10292661. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1)))) b) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 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. ------ 108443/10292685. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108444/10292778. ------ 1. ==[ start ]==> (((^a.a) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> (b (^y.(b (^z.z)))) 4. ==[ alpha ]==> (b (^x.(b (^y.y)))) REDUCED to normal form. ------ 108445/10293270. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((((a a)(^x1.x1))(^y1.(^z1.z1)))(((a a)(^x2.x2))(^y2.(^z2.z2))))) REDUCED to normal form. ------ 108446/10293495. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108447/10293498. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 108448/10293849. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 108449/10293858. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((z z)(z z)))) REDUCED to normal form. ------ 108450/10294182. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z) b))) 5. ==[ beta ]==> (b (^y.((^z.z) b))) 6. ==[ alpha ]==> (b (^x.((^y.y) b))) 7. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 108451/10294386. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 108452/10294566. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (^y.(^z.z))) b) b) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 108453/10294848. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.(^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. ------ 108454/10294857. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^y.b)) REDUCED to normal form. ------ 108455/10295172. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108456/10295469. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 11. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 108457/10295775. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 108458/10296045. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(b a))) 3. ==[ beta ]==> (((a a) b)(^y.(b a))) 4. ==[ alpha ]==> (((a a) b)(^x.(b a))) REDUCED to normal form. ------ 108459/10297428. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b) c)) 3. ==[ beta ]==> (((^x1.b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 108460/10297602. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 108461/10297818. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))(^x.(a a))) REDUCED to normal form. ------ 108462/10298031. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108463/10298034. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 108464/10298346. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108465/10298628. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108466/10298637. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(z b))) REDUCED to normal form. ------ 108467/10298799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((a a) a))) 5. ==[ beta ]==> ((^y.(a a))(^z.((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108468/10299345. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))(((a (a a))(^y.(^z.z)))((a (a a))(^y.(^z.z))))) 4. ==[ alpha ]==> ((((a (a a))(^x.(^y.y)))((a (a a))(^z.(^x1.x1))))(((a (a a))(^y1.(^z1.z1)))((a (a a))(^x2.(^y2.y2))))) REDUCED to normal form. ------ 108469/10299708. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 108470/10299933. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 108471/10300014. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.((^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)))(^z.a)) REDUCED to normal form. ------ 108472/10300104. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 108473/10300266. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.c)) 3. ==[ beta ]==> (((a a)((a a) a))(^y.c)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.c)) REDUCED to normal form. ------ 108474/10300374. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.b)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.b)) REDUCED to normal form. ------ 108475/10300425. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108476/10300428. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 108477/10300518. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108478/10300548. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 108479/10300575. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108480/10300611. ------ 1. ==[ start ]==> (((a a)(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 108481/10300638. ------ 1. ==[ start ]==> (((^a.a) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(a (b (^y.y)))) 3. ==[ beta ]==> (b (a (b (^y.y)))) 4. ==[ alpha ]==> (b (a (b (^x.x)))) REDUCED to normal form. ------ 108482/10300665. ------ 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. ------ 108483/10300692. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a) b)(b (a (^x.x)))) REDUCED to normal form. ------ 108484/10300719. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 108485/10300746. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 108486/10300773. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 108487/10300827. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 108488/10300908. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(b a))) REDUCED to normal form. ------ 108489/10300935. ------ 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. ------ 108490/10300962. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 108491/10300980. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 108492/10300989. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 108493/10301052. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 108494/10301079. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 108495/10301106. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 108496/10301133. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 108497/10301169. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108498/10301250. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 108499/10301277. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 108500/10301331. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 108501/10301358. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 108502/10301376. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 108503/10301403. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b) b)) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) b)) 5. ==[ beta ]==> (((a (^x.x)) a)(b b)) REDUCED to normal form. ------ 108504/10301493. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108505/10301520. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108506/10301655. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108507/10301691. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.a))(b ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.a))(b ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 108508/10301718. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a)(a a)))) REDUCED to normal form. ------ 108509/10301745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 7. ==[ beta ]==> (((^y.y) b)(a a)) 8. ==[ alpha ]==> (((^x.x) b)(a a)) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 108510/10302006. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a (c (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 108511/10302042. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.y) b)((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.x) b)((a a)((^y.y) b))) 5. ==[ beta ]==> (b ((a a)((^y.y) b))) 6. ==[ alpha ]==> (b ((a a)((^x.x) b))) 7. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 108512/10302087. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b)(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. ------ 108513/10302114. ------ 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)))(a (^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108514/10302249. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 108515/10302267. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(a a))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 108516/10302348. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 108517/10302375. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)(^z.z))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 108518/10302402. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b) a)) 3. ==[ beta ]==> ((((a a) a)(a a))(b a)) REDUCED to normal form. ------ 108519/10302429. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 108520/10302438. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108521/10302519. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 108522/10302600. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108523/10302627. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 108524/10302690. ------ 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. ------ 108525/10302708. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 108526/10302717. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a b)) REDUCED to normal form. ------ 108527/10302744. ------ 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)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108528/10302771. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 108529/10302798. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 108530/10302987. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(b a))) 3. ==[ beta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 108531/10303032. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> ((^y.(a a))(a (^z.z))) 4. ==[ alpha ]==> ((^x.(a a))(a (^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108532/10303059. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108533/10303113. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108534/10303194. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (b ((^x1.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108535/10303248. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a a)((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> ((a a)((a a)((^x.x)(a a)))) 11. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 108536/10303275. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108537/10303329. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)((^z.z)(a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(a (^z.(^x1.x1))))) 11. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 12. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 13. ==[ beta ]==> (a (^y.(^z.z))) 14. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 108538/10303410. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108539/10303635. ------ 1. ==[ start ]==> (((^a.b) c)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 108540/10303644. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 108541/10303869. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 108542/10303878. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 108543/10303905. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(b a))) 3. ==[ beta ]==> (((a a) b)((a a)(b a))) REDUCED to normal form. ------ 108544/10304031. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 108545/10304112. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(a b))) 3. ==[ beta ]==> (b ((^z.(z z))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 108546/10304211. ------ 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. ------ 108547/10304238. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 108548/10304265. ------ 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. ------ 108549/10304688. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a (^y.y))(a a))) REDUCED to normal form. ------ 108550/10304814. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)((^y.y) a))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 108551/10304895. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (b ((^y.(y y))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 108552/10305021. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a a)(b a))((a a) b)) REDUCED to normal form. ------ 108553/10305048. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b) c)) REDUCED to normal form. ------ 108554/10305282. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108555/10305291. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b) c)) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 108556/10305462. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 108557/10305570. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108558/10305597. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.y1))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108559/10305624. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108560/10305678. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 11. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 108561/10305759. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108562/10305867. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108563/10305876. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (a b))) REDUCED to normal form. ------ 108564/10305894. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 108565/10305912. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a)) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 108566/10305939. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b) b)) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 108567/10306128. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.y))) REDUCED to normal form. ------ 108568/10306182. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.a)) REDUCED to normal form. ------ 108569/10306209. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 108570/10306218. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 108571/10306245. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.a)((^x2.x2)(^y2.y2)))) 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. ------ 108572/10306380. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108573/10306488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108574/10306497. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (a b))) REDUCED to normal form. ------ 108575/10306524. ------ 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. ------ 108576/10306551. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 108577/10306578. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a)) a)) REDUCED to normal form. ------ 108578/10306659. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a)((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((a a)((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108579/10306704. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> (b ((^y.a)(a a))) 4. ==[ alpha ]==> (b ((^x.a)(a a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108580/10306812. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108581/10306884. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a) b)((^y.y) b)) 6. ==[ alpha ]==> (((a a) b)((^x.x) b)) 7. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 108582/10307019. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) a)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 108583/10307046. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 108584/10307181. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((b (a a))(^y.y)) 8. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 108585/10307208. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 108586/10307244. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108587/10307379. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108588/10307523. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((b b)((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((b b)((a (^x.x)) a)) REDUCED to normal form. ------ 108589/10307550. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(a (a a)))) REDUCED to normal form. ------ 108590/10307568. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 108591/10307595. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^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. ------ 108592/10307649. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 108593/10307730. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108594/10307739. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (a (^y.y)))) REDUCED to normal form. ------ 108595/10307793. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 108596/10307847. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 108597/10307874. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 108598/10307937. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 108599/10307964. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 108600/10307991. ------ 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. ------ 108601/10308018. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x)) b)) REDUCED to normal form. ------ 108602/10308072. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a) a)) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 108603/10308099. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 108604/10308153. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 108605/10308207. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z)) a)) REDUCED to normal form. ------ 108606/10308234. ------ 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)) REDUCED to normal form. ------ 108607/10308261. ------ 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. ------ 108608/10308288. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) b)) 3. ==[ beta ]==> ((a (b (^x.x))) b) REDUCED to normal form. ------ 108609/10308378. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108610/10309218. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.(^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. ------ 108611/10316148. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108612/10316319. ------ 1. ==[ start ]==> ((^a.b)(c ((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(c ((^y.y) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 108613/10316376. ------ 1. ==[ start ]==> (((a a)(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 108614/10316400. ------ 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. ------ 108615/10316589. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a) a)((^z.z)(a a)))) 3. ==[ eta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 108616/10316760. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 108617/10317084. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108618/10317087. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 108619/10317447. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 108620/10317642. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(a b))) 3. ==[ beta ]==> (((((a a) a)(a b))(((a a) a)(a b)))(((a a) a)(a b))) REDUCED to normal form. ------ 108621/10317975. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(^z.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 108622/10318446. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 108623/10318542. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1)) d)((^z.(^x1.x1)) d))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z)) d)((^x1.(^y1.y1)) d))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1)) d))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1)) d))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1)) d)) 8. ==[ alpha ]==> (^x.((^y.(^z.z)) d)) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108624/10318749. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(((a a)(a (^z.(^x1.x1))))((a a)(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a (^y.(^z.z))))((a a)(a (^x1.(^y1.y1)))))) 5. ==[ beta ]==> (((a a)(a (^y.(^z.z))))((a a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 108625/10319067. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 108626/10319364. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(^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. ------ 108627/10319373. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 108628/10319424. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((((a a)(^z.z))(a (^x1.x1)))(((a a)(^z.z))(a (^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a (^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 108629/10319661. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 108630/10320180. ------ 1. ==[ start ]==> ((^a.(b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(b ((a a)(^y.y)))) 3. ==[ eta ]==> (b (b ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 108631/10320729. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 108632/10320966. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 108633/10321017. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 108634/10321416. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 108635/10321641. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 108636/10322226. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.z))) REDUCED to normal form. ------ 108637/10322415. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 108638/10322577. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 108639/10322748. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((x x) x))) REDUCED to normal form. ------ 108640/10323522. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 108641/10323630. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 108642/10323801. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)((^x.x)(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.y)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 108643/10323990. ------ 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. ------ 108644/10324014. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108645/10324017. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 108646/10324107. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.a)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108647/10324155. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 108648/10324182. ------ 1. ==[ start ]==> (((a a) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 108649/10324191. ------ 1. ==[ start ]==> ((a b)(c ((^a.a) b))) 2. ==[ alpha ]==> ((a b)(c ((^x.x) b))) 3. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 108650/10324245. ------ 1. ==[ start ]==> (((a a)(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(a (b (^x.x)))) REDUCED to normal form. ------ 108651/10324272. ------ 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. ------ 108652/10324308. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 108653/10324407. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 108654/10324434. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(a b))) REDUCED to normal form. ------ 108655/10324461. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 108656/10324560. ------ 1. ==[ start ]==> (((a a)(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 108657/10324587. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.(a a)))) REDUCED to normal form. ------ 108658/10324632. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 108659/10324740. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 108660/10324767. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 108661/10324803. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(a b))) 3. ==[ beta ]==> ((a b)((^y.b)(a b))) 4. ==[ alpha ]==> ((a b)((^x.b)(a b))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 108662/10324821. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 108663/10324857. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 108664/10324884. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((b a)(b a))) REDUCED to normal form. ------ 108665/10324911. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 108666/10324929. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 108667/10324938. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 108668/10324956. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 108669/10325046. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 108670/10325181. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 108671/10325208. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 108672/10325262. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 108673/10325289. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 108674/10325379. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^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. ------ 108675/10325406. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((b a) a)) REDUCED to normal form. ------ 108676/10325433. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 108677/10325460. ------ 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)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 108678/10325487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)((a a) a))) 5. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 108679/10325514. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(a b))) REDUCED to normal form. ------ 108680/10325640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b (^z.z))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.z))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 108681/10325685. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 108682/10325712. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 108683/10325721. ------ 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)))(a (^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 108684/10325766. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 108685/10325775. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 108686/10325802. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108687/10325829. ------ 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. ------ 108688/10325847. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 108689/10326018. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b)(^a.a))) 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. ------ 108690/10326036. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108691/10326180. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(^y.b))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 108692/10326207. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 108693/10326234. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 108694/10326288. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108695/10326315. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 108696/10326414. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 108697/10326432. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 108698/10326459. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((a b)(^y.y))) REDUCED to normal form. ------ 108699/10326486. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 108700/10326513. ------ 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))(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 108701/10326540. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> (a ((a (a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (a ((a (a a))((^x.x)(a a)))) 9. ==[ beta ]==> (a ((a (a a))(a a))) REDUCED to normal form. ------ 108702/10326567. ------ 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. ------ 108703/10326585. ------ 1. ==[ start ]==> (((^a.b) b)(c (^d.a))) 2. ==[ alpha ]==> (((^x.b) b)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 108704/10326594. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 108705/10326621. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 108706/10326657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108707/10326711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 108708/10326792. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (b (((a a) a)(^x1.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 108709/10326801. ------ 1. ==[ start ]==> (((a b) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 108710/10326828. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 108711/10326846. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a a)((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 108712/10326855. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 108713/10326873. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 108714/10326882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 108715/10326927. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.(^x1.x1))))) 11. ==[ beta ]==> ((a a)(^y.(^z.(^x1.x1)))) 12. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 108716/10326936. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 108717/10326963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.y1))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.y1))((^y.(^z.(^x1.x1)))(^y1.y1))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 9. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108718/10327008. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (b (((a a)(^z.z)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 108719/10327017. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108720/10327044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 108721/10327215. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (b a))) 3. ==[ beta ]==> ((((a a) a) a)(b (b a))) REDUCED to normal form. ------ 108722/10327233. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 108723/10327242. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 108724/10327269. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a)(a a))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a a))) REDUCED to normal form. ------ 108725/10327296. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 108726/10327476. ------ 1. ==[ start ]==> (((a b) c)(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c (^x.(^y.y)))) REDUCED to normal form. ------ 108727/10327530. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 108728/10327548. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.y))) REDUCED to normal form. ------ 108729/10327575. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 108730/10327584. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 108731/10327611. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 108732/10327629. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 108733/10327665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108734/10327692. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 108735/10327710. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(^z.b))) 3. ==[ beta ]==> (b ((a (a a))(^z.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 108736/10327719. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b)(^x.a))((a b)(a b))) REDUCED to normal form. ------ 108737/10327746. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 108738/10327773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 108739/10328052. ------ 1. ==[ start ]==> ((a (b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 108740/10328142. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a)) c)) 5. ==[ beta ]==> (b ((^z.(a a)) c)) 6. ==[ alpha ]==> (b ((^x.(a a)) c)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 108741/10328286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c (^y.(a a)))) REDUCED to normal form. ------ 108742/10328358. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 108743/10328394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 108744/10328412. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))((a b)(^y.a))) 4. ==[ alpha ]==> (((a b)(a b))((a b)(^x.a))) REDUCED to normal form. ------ 108745/10328421. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 108746/10328475. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108747/10328493. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.a))) 3. ==[ beta ]==> (b ((a (a a))(^y.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 108748/10328502. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 108749/10328529. ------ 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) REDUCED to normal form. ------ 108750/10328556. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(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. ------ 108751/10328601. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 108752/10328781. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (a b))) REDUCED to normal form. ------ 108753/10328808. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)(b ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) a)(b ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 108754/10328835. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 108755/10328889. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(a (^z.z)))) REDUCED to normal form. ------ 108756/10328898. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b) c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b) c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108757/10329168. ------ 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 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108758/10329177. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 108759/10329195. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 108760/10329204. ------ 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 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 10. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 108761/10329222. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 108762/10329276. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 108763/10329285. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 108764/10329312. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 108765/10329357. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 108766/10329366. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 108767/10329393. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 108768/10329420. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 108769/10329474. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 108770/10329510. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 108771/10329537. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(a a))) REDUCED to normal form. ------ 108772/10329564. ------ 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. ------ 108773/10329591. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a (a a))(a a))((^y.y) a)) 8. ==[ alpha ]==> (((a (a a))(a a))((^x.x) a)) 9. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 108774/10329618. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 108775/10329645. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 108776/10329672. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 108777/10329699. ------ 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. ------ 108778/10329771. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108779/10329816. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 108780/10329843. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1) a)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)(^x2.(^y2.y2)))) 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. ------ 108781/10329978. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 108782/10330095. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.b)) REDUCED to normal form. ------ 108783/10330140. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) b)) 5. ==[ beta ]==> (b ((^y.a) b)) 6. ==[ alpha ]==> (b ((^x.a) b)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 108784/10330167. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108785/10330257. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108786/10330284. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.b))) REDUCED to normal form. ------ 108787/10330302. ------ 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. ------ 108788/10330311. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 108789/10330338. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 108790/10330365. ------ 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 z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(((^x1.x1) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 108791/10330410. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108792/10330419. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 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. ------ 108793/10330446. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((a a) a))) 5. ==[ beta ]==> ((b (^x.x))((a a) a)) REDUCED to normal form. ------ 108794/10330590. ------ 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)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(b ((^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. ------ 108795/10330617. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a ((a a) a))) REDUCED to normal form. ------ 108796/10330644. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 108797/10330671. ------ 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)))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 108798/10330698. ------ 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)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 108799/10330752. ------ 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 a)((^x1.x1)(^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. ------ 108800/10330842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 108801/10330977. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a) c)) 3. ==[ beta ]==> (b (((^z.z) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 108802/10331085. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108803/10331121. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.a))) 3. ==[ beta ]==> ((b b)(c (^y.a))) 4. ==[ alpha ]==> ((b b)(c (^x.a))) REDUCED to normal form. ------ 108804/10331148. ------ 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. ------ 108805/10331193. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.y))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 108806/10331202. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 108807/10331229. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 108808/10331247. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 108809/10331310. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 108810/10331328. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a) b)) 3. ==[ beta ]==> (b (((^y.y) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 108811/10331337. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 108812/10331391. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 108813/10331436. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 108814/10331445. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.(^y1.y1)))) REDUCED to normal form. ------ 108815/10331472. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 108816/10331499. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 108817/10331562. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b c)) 3. ==[ beta ]==> (((a (^x.x)) b)(b c)) REDUCED to normal form. ------ 108818/10331616. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (a a))) REDUCED to normal form. ------ 108819/10331643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 108820/10331670. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 108821/10331697. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 108822/10331724. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 108823/10331832. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (a a))) REDUCED to normal form. ------ 108824/10331859. ------ 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. ------ 108825/10331886. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 108826/10331976. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108827/10339908. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.(^y1.y1))))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 7. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108828/10339935. ------ 1. ==[ start ]==> ((^a.b)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 108829/10339971. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108830/10340133. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^x.(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 108831/10340721. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.((a a)(a a)))) REDUCED to normal form. ------ 108832/10341747. ------ 1. ==[ start ]==> ((((a a) a)(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 108833/10341771. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b)(^a.a))) 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. ------ 108834/10342158. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))((^x1.x1) a))(((a a)(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a)))) 5. ==[ beta ]==> (^x.((((a a)(^y.y)) a)(((a a)(^x1.x1))((^y1.y1) a)))) 6. ==[ alpha ]==> (^x.((((a a)(^y.y)) a)(((a a)(^z.z))((^x1.x1) a)))) 7. ==[ beta ]==> (^x.((((a a)(^y.y)) a)(((a a)(^z.z)) a))) REDUCED to normal form. ------ 108835/10342365. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((b (^z.(^x1.(^y1.y1))))(b (^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> ((^x.x)((b (^y.(^z.(^x1.x1))))(b (^y1.(^z1.(^x2.x2)))))) 5. ==[ beta ]==> ((b (^y.(^z.(^x1.x1))))(b (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 108836/10342377. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(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. ------ 108837/10342683. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 108838/10342989. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 108839/10343556. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y a))) REDUCED to normal form. ------ 108840/10343796. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108841/10344078. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> ((b a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 108842/10344582. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 108843/10344807. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 108844/10345032. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 108845/10345236. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108846/10345257. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 108847/10345473. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(y y)))) REDUCED to normal form. ------ 108848/10345551. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 108849/10346193. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 108850/10346364. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 108851/10346526. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.x))) REDUCED to normal form. ------ 108852/10346550. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((^y.(^z.z))(a a))((^y.(^z.z))(a a)))(((^y.(^z.z))(a a))((^y.(^z.z))(a a)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a a))((^z.(^x1.x1))(a a)))(((^y1.(^z1.z1))(a a))((^x2.(^y2.y2))(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a a)))(((^y1.(^z1.z1))(a a))((^x2.(^y2.y2))(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a a)))(((^x1.(^y1.y1))(a a))((^z1.(^x2.x2))(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(a a))(((^x1.(^y1.y1))(a a))((^z1.(^x2.x2))(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a a))((^y1.(^z1.z1))(a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a)))) 11. ==[ beta ]==> (((^y.(^z.z))(a a))((^x1.(^y1.y1))(a a))) 12. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(a a))) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 15. ==[ beta ]==> ((^y.(^z.z))(a a)) 16. ==[ alpha ]==> ((^x.(^y.y))(a a)) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108853/10347138. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.d)) REDUCED to normal form. ------ 108854/10347336. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.((^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))))(^z.a)) REDUCED to normal form. ------ 108855/10347417. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 108856/10347498. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 108857/10347552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a (^x1.x1)))) REDUCED to normal form. ------ 108858/10347606. ------ 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. ------ 108859/10347630. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108860/10347723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(x2 x2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(x2 x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108861/10347789. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 108862/10347816. ------ 1. ==[ start ]==> ((a b)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 108863/10347852. ------ 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. ------ 108864/10347906. ------ 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. ------ 108865/10347915. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((a a) b)((^x.(a a)) b)) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 108866/10347933. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 108867/10347942. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x)) a) c) REDUCED to normal form. ------ 108868/10347960. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))((^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. ------ 108869/10347987. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((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. ------ 108870/10348014. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 108871/10348095. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 108872/10348122. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 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. ------ 108873/10348176. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 8. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 108874/10348203. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 108875/10348302. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 108876/10348329. ------ 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.y1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 108877/10348347. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 108878/10348428. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(^y.b))) 3. ==[ beta ]==> ((a b)((a b)(^y.b))) 4. ==[ alpha ]==> ((a b)((a b)(^x.b))) REDUCED to normal form. ------ 108879/10348455. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 108880/10348536. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 108881/10348563. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 108882/10348599. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 108883/10348653. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 108884/10348671. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z))) c)) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z))) c)) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 108885/10348680. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 108886/10348932. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b ((^z.z) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 108887/10349175. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(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. ------ 108888/10349229. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(b a))) 5. ==[ beta ]==> (a (((^z.z) a)(b a))) 6. ==[ alpha ]==> (a (((^x.x) a)(b a))) 7. ==[ beta ]==> (a (a (b a))) REDUCED to normal form. ------ 108889/10349346. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 108890/10349373. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)(^z.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)(^y.a))) REDUCED to normal form. ------ 108891/10349400. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 108892/10349427. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108893/10349454. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 108894/10349517. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 108895/10349544. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 108896/10349571. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(b a))) 3. ==[ beta ]==> (((a (a a)) a)((^y.a)(b a))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.a)(b a))) 5. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 108897/10349598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 108898/10349625. ------ 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))((^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. ------ 108899/10349643. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b) a)) 3. ==[ beta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 108900/10349652. ------ 1. ==[ start ]==> ((a (a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.y))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 108901/10349931. ------ 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. ------ 108902/10349967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) a)) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 108903/10349994. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 108904/10350012. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(a (^y.y)))) 3. ==[ beta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 108905/10350039. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 108906/10350219. ------ 1. ==[ start ]==> (((a b)(a a))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(a a))(c (^x.a))) REDUCED to normal form. ------ 108907/10350246. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 108908/10350255. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(a a))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 108909/10350426. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 108910/10350453. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) a)(^y.b)) 8. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 108911/10350480. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 108912/10350507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 108913/10350561. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 108914/10350588. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1))) a)) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z))) a)) 7. ==[ beta ]==> (((a (^y.(^z.z))) a)((a (^y.(^z.z))) a)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 108915/10350615. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a) b)) REDUCED to normal form. ------ 108916/10350642. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 108917/10350705. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 108918/10350732. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 108919/10350759. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 108920/10350786. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 108921/10350813. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 108922/10350867. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 108923/10350957. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 108924/10351092. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 108925/10351209. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 108926/10351236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.a))) REDUCED to normal form. ------ 108927/10351290. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108928/10351344. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.b))) REDUCED to normal form. ------ 108929/10351371. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 108930/10351434. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(b a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(b a)) REDUCED to normal form. ------ 108931/10351488. ------ 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. ------ 108932/10351515. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 108933/10351542. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(x1 x1)))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 9. ==[ beta ]==> ((^y.b)(^z.(z z))) 10. ==[ alpha ]==> ((^x.b)(^y.(y y))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 108934/10351596. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 108935/10351623. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 108936/10351650. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 108937/10351677. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 108938/10351767. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (b (((^z.z)(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (b ((a a)(a (^y.y)))) 8. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 108939/10351848. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 108940/10351956. ------ 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. ------ 108941/10352019. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 108942/10352046. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 108943/10352100. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 108944/10352127. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 108945/10352154. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 108946/10352181. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 108947/10352244. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 108948/10352271. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 108949/10352298. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 108950/10352325. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 108951/10352352. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 108952/10352406. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 108953/10352433. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 108954/10352505. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108955/10352523. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 108956/10352604. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.x))) REDUCED to normal form. ------ 108957/10352685. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 108958/10352802. ------ 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 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 108959/10352829. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 108960/10352910. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 108961/10352937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) a)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) a)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 108962/10352991. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a) c)) REDUCED to normal form. ------ 108963/10353117. ------ 1. ==[ start ]==> ((a (^b.b))(b (a b))) 2. ==[ alpha ]==> ((a (^x.x))(b (a b))) REDUCED to normal form. ------ 108964/10353135. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 108965/10353297. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 108966/10353324. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.b))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.b))) REDUCED to normal form. ------ 108967/10353351. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a (^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(a a)))) REDUCED to normal form. ------ 108968/10353396. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((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. ------ 108969/10353432. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 108970/10353711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(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. ------ 108971/10353747. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b) a)) 3. ==[ beta ]==> ((b a)((^y.b) a)) 4. ==[ alpha ]==> ((b a)((^x.b) a)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 108972/10353765. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a a))) 5. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 108973/10353774. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 108974/10353792. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 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. ------ 108975/10353801. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) c)) 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. ------ 108976/10353846. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 108977/10353936. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.y))) REDUCED to normal form. ------ 108978/10353963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 108979/10353990. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(^z.a))) REDUCED to normal form. ------ 108980/10354044. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.x2)))) REDUCED to normal form. ------ 108981/10354071. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 108982/10354107. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 108983/10354134. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 108984/10354161. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((a (b a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((a (b a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 108985/10354188. ------ 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 z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 108986/10354215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 108987/10354242. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.a)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.a)) REDUCED to normal form. ------ 108988/10354377. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 108989/10354404. ------ 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. ------ 108990/10354431. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 108991/10354710. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 108992/10354746. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a) c)) 3. ==[ beta ]==> ((b b)((^y.a) c)) 4. ==[ alpha ]==> ((b b)((^x.a) c)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 108993/10354791. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 108994/10354827. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 108995/10354854. ------ 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.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 108996/10354872. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c c)) 3. ==[ beta ]==> (((b a)(b a))(c c)) REDUCED to normal form. ------ 108997/10354935. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a)) a)) REDUCED to normal form. ------ 108998/10354962. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a) b)) 3. ==[ beta ]==> (((a b)(^x.b))(a b)) REDUCED to normal form. ------ 108999/10355061. ------ 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)(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. ------ 109000/10355070. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 109001/10355097. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109002/10355160. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 109003/10355187. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 109004/10355214. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 7. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 109005/10355241. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 109006/10355268. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 109007/10355295. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.a)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 109008/10355322. ------ 1. ==[ start ]==> (((a b)(a b))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.x))) REDUCED to normal form. ------ 109009/10355349. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 109010/10355376. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 109011/10355430. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 109012/10355457. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 109013/10355484. ------ 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. ------ 109014/10355511. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 109015/10355601. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(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. ------ 109016/10360104. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 109017/10363653. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 109018/10364118. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((b a)(^y.(y y)))(((b a)(^y.(y y)))((b a)(^y.(y y))))) 4. ==[ alpha ]==> (((b a)(^x.(x x)))(((b a)(^y.(y y)))((b a)(^z.(z z))))) REDUCED to normal form. ------ 109019/10364343. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109020/10364733. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((^y.y)(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 7. ==[ beta ]==> (^y.((y y)(y y))) 8. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 109021/10365234. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 109022/10365414. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b) a)) 3. ==[ beta ]==> ((((^y.y) b) a) b) 4. ==[ alpha ]==> ((((^x.x) b) a) b) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 109023/10365732. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 109024/10366047. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109025/10366623. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(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. ------ 109026/10366938. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109027/10367988. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 109028/10367991. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 109029/10368276. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^x1.(a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a)) b)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 109030/10368879. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109031/10369194. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109032/10369512. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(y b))) 3. ==[ beta ]==> ((b a)(^y.(y b))) 4. ==[ alpha ]==> ((b a)(^x.(x b))) REDUCED to normal form. ------ 109033/10369674. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((a a) a))) REDUCED to normal form. ------ 109034/10369692. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 109035/10370193. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.x1))(((^y.y)(^z.z))(^x1.x1)))((((^y.y)(^z.z))(^x1.x1))(((^y.y)(^z.z))(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))((((^x2.x2)(^y2.y2))(^z2.z2))(((^x3.x3)(^y3.y3))(^z3.z3)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1)))((((^x2.x2)(^y2.y2))(^z2.z2))(((^x3.x3)(^y3.y3))(^z3.z3)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1)))((((^z1.z1)(^x2.x2))(^y2.y2))(((^z2.z2)(^x3.x3))(^y3.y3)))) 7. ==[ beta ]==> (((^y.y)(((^z.z)(^x1.x1))(^y1.y1)))((((^z1.z1)(^x2.x2))(^y2.y2))(((^z2.z2)(^x3.x3))(^y3.y3)))) 8. ==[ alpha ]==> (((^x.x)(((^y.y)(^z.z))(^x1.x1)))((((^y1.y1)(^z1.z1))(^x2.x2))(((^y2.y2)(^z2.z2))(^x3.x3)))) 9. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))((((^y1.y1)(^z1.z1))(^x2.x2))(((^y2.y2)(^z2.z2))(^x3.x3)))) 10. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((((^x1.x1)(^y1.y1))(^z1.z1))(((^x2.x2)(^y2.y2))(^z2.z2)))) 11. ==[ beta ]==> (((^y.y)(^z.z))((((^x1.x1)(^y1.y1))(^z1.z1))(((^x2.x2)(^y2.y2))(^z2.z2)))) 12. ==[ alpha ]==> (((^x.x)(^y.y))((((^z.z)(^x1.x1))(^y1.y1))(((^z1.z1)(^x2.x2))(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.y1))(((^z1.z1)(^x2.x2))(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2)))) 15. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.x2))) 16. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 17. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 18. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 19. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.y1))) 20. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 21. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 22. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 23. ==[ beta ]==> ((^y.y)(^z.z)) 24. ==[ alpha ]==> ((^x.x)(^y.y)) 25. ==[ beta ]==> (^y.y) 26. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109036/10370583. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 109037/10371141. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.c)) REDUCED to normal form. ------ 109038/10371273. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109039/10371366. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109040/10371450. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109041/10371477. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 109042/10371513. ------ 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. ------ 109043/10371540. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 109044/10371567. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 109045/10371594. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 109046/10371621. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 109047/10371648. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(a (a a)))) REDUCED to normal form. ------ 109048/10371702. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 109049/10371783. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.y))) REDUCED to normal form. ------ 109050/10371810. ------ 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. ------ 109051/10371837. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 109052/10371864. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1)) b)) REDUCED to normal form. ------ 109053/10371891. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 109054/10371927. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((a a) a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 109055/10371954. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 109056/10371981. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 109057/10372008. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.(x x)))) REDUCED to normal form. ------ 109058/10372044. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109059/10372098. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 7. ==[ beta ]==> ((^y.b)(a b)) 8. ==[ alpha ]==> ((^x.b)(a b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 109060/10372152. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109061/10372206. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 109062/10372233. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109063/10372278. ------ 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. ------ 109064/10372305. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b) b)) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b) b)) 5. ==[ beta ]==> ((a (a (^x.x)))(b b)) REDUCED to normal form. ------ 109065/10372449. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.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. ------ 109066/10372503. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 109067/10372566. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.a))(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.a))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 109068/10372584. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 109069/10372593. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 109070/10372620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(a ((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 109071/10372656. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 109072/10372917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 109073/10372944. ------ 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. ------ 109074/10372989. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109075/10373124. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 109076/10373142. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 109077/10373169. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(a a))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a a))) REDUCED to normal form. ------ 109078/10373250. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109079/10373277. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 109080/10373304. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b) a)) 3. ==[ beta ]==> ((a (a b))(b a)) REDUCED to normal form. ------ 109081/10373313. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109082/10373475. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (b ((^z.a)(^x1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109083/10373502. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 109084/10373565. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (b a))) REDUCED to normal form. ------ 109085/10373583. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 109086/10373592. ------ 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. ------ 109087/10373619. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(a ((^z.z) b))) 5. ==[ beta ]==> ((^y.a)(a ((^z.z) b))) 6. ==[ alpha ]==> ((^x.a)(a ((^y.y) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 109088/10373646. ------ 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)))(a a))) REDUCED to normal form. ------ 109089/10373673. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 109090/10373709. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 109091/10373862. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 109092/10373907. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(a a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(a a))(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109093/10373934. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 109094/10374069. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109095/10374123. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 109096/10374150. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 109097/10374204. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 11. ==[ beta ]==> ((^y.(^z.z))(b a)) 12. ==[ alpha ]==> ((^x.(^y.y))(b a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109098/10374510. ------ 1. ==[ start ]==> (((^a.b) c)(b (b a))) 2. ==[ alpha ]==> (((^x.b) c)(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 109099/10374546. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 109100/10374753. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) c)(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b) c)(a (a a))) REDUCED to normal form. ------ 109101/10374780. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 109102/10374807. ------ 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. ------ 109103/10374825. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 109104/10374906. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 109105/10374987. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109106/10375113. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a) a)) REDUCED to normal form. ------ 109107/10375140. ------ 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. ------ 109108/10375563. ------ 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. ------ 109109/10375608. ------ 1. ==[ start ]==> (((^a.a)(b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 109110/10375689. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 109111/10375770. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109112/10375878. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 109113/10375896. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 109114/10375923. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a) b)) REDUCED to normal form. ------ 109115/10375950. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b) c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b) c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b) c)) 5. ==[ beta ]==> ((a (a a))((a b) c)) REDUCED to normal form. ------ 109116/10376157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109117/10376166. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 109118/10376337. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (b (b (^x1.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 109119/10376472. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109120/10376499. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109121/10376553. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a b))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 109122/10376634. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.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. ------ 109123/10376742. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109124/10376769. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 109125/10376814. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 109126/10376841. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 109127/10377057. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 109128/10377084. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 7. ==[ beta ]==> ((a b)(^y.a)) 8. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 109129/10377093. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109130/10377120. ------ 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 z1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 109131/10377255. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109132/10377372. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b ((a a) a))) REDUCED to normal form. ------ 109133/10377399. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (a b))) 3. ==[ beta ]==> ((b a)(a (a b))) REDUCED to normal form. ------ 109134/10377426. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 109135/10377453. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 109136/10377534. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109137/10377561. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)((a a) a))) REDUCED to normal form. ------ 109138/10377579. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.b))) 3. ==[ beta ]==> (b (a (^y.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 109139/10377687. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.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. ------ 109140/10377759. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a) a)) 3. ==[ beta ]==> (((a a) b)(((a a) a) a)) REDUCED to normal form. ------ 109141/10377786. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 109142/10377813. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a)) c)) 3. ==[ beta ]==> ((a (b a))((a (a a)) c)) REDUCED to normal form. ------ 109143/10377921. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) a)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 109144/10377948. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) b)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 109145/10378083. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^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. ------ 109146/10378119. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 109147/10378254. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109148/10378398. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> ((b b)(a (a (^y.y)))) 6. ==[ alpha ]==> ((b b)(a (a (^x.x)))) REDUCED to normal form. ------ 109149/10378425. ------ 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. ------ 109150/10378443. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 109151/10378470. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 109152/10378524. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 109153/10378605. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.y))) 5. ==[ beta ]==> (b ((^y.y)(^y.y))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109154/10378668. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 109155/10378722. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (a a))) REDUCED to normal form. ------ 109156/10378749. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 109157/10378776. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a a) a)) REDUCED to normal form. ------ 109158/10378812. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 109159/10378839. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 109160/10378866. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(^x1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.a))) REDUCED to normal form. ------ 109161/10378893. ------ 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. ------ 109162/10378920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 109163/10378974. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.a) a)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 109164/10379001. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 109165/10379082. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 109166/10379109. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 109167/10379136. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a) b)) REDUCED to normal form. ------ 109168/10379163. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 109169/10379253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109170/10379436. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^z.(b (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109171/10387050. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109172/10387329. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (b (^z.z)))(^y.y)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 109173/10387332. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 109174/10387518. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(a b))) 3. ==[ eta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 109175/10388013. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109176/10388403. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(a a)))) 7. ==[ beta ]==> (^y.(^z.(a a))) 8. ==[ alpha ]==> (^x.(^y.(a a))) REDUCED to normal form. ------ 109177/10388571. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)((a a) a))) 3. ==[ beta ]==> ((((a b)((a a) a))((a b)((a a) a)))((a b)((a a) a))) REDUCED to normal form. ------ 109178/10388904. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 109179/10389078. ------ 1. ==[ start ]==> (((^a.b) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b) a)(^z.z)) 4. ==[ alpha ]==> (((^x.b) a)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109180/10389402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.(^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. ------ 109181/10389678. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(b a))((a (^z.z))(b a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(b a))((a (^z.z))(b a)))) 5. ==[ beta ]==> (((a (^y.y))(b a))((a (^z.z))(b a))) 6. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(b a))) REDUCED to normal form. ------ 109182/10390023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.(a (^z.(^x1.x1))))(^y.(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1))))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 109183/10390329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 109184/10390353. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> ((((b a)(a a))((b a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((((b a)(a a))((b a)(a a)))(^x.x)) REDUCED to normal form. ------ 109185/10391109. ------ 1. ==[ start ]==> ((^a.(b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(c ((^y.y)(a a)))) 3. ==[ eta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 109186/10391946. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((((^x1.x1)(a a))(a a))(^y.(^z.z))) 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. ------ 109187/10392372. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109188/10392597. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.(y y))) REDUCED to normal form. ------ 109189/10393182. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.y))) 3. ==[ beta ]==> ((b a)(^y.(^z.y))) 4. ==[ alpha ]==> ((b a)(^x.(^y.x))) REDUCED to normal form. ------ 109190/10393371. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 109191/10393704. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((x x) x))) REDUCED to normal form. ------ 109192/10393839. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.((^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. ------ 109193/10394262. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 109194/10394370. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 109195/10394757. ------ 1. ==[ start ]==> (((a b)(a b))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 109196/10394892. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.c)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.c)) REDUCED to normal form. ------ 109197/10394943. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109198/10394946. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 109199/10395138. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 109200/10395165. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 109201/10395192. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109202/10395201. ------ 1. ==[ start ]==> (((a a)(a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 109203/10395228. ------ 1. ==[ start ]==> ((a (a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 109204/10395291. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 109205/10395363. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 109206/10395390. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 109207/10395417. ------ 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. ------ 109208/10395570. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 109209/10395678. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 109210/10395696. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(y y)))) 5. ==[ beta ]==> (((b a)(^y.(y y)))((b a)(^y.(y y)))) 6. ==[ alpha ]==> (((b a)(^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 109211/10395723. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 109212/10395759. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a b)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 109213/10395777. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.b))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 109214/10395786. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(a b))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 109215/10395804. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 109216/10395840. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 109217/10395867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 109218/10395885. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 109219/10395894. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 109220/10395912. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 109221/10396002. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 109222/10396137. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(^y.b))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 109223/10396191. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109224/10396245. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 109225/10396272. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109226/10396335. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 109227/10396362. ------ 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)))(a (^x1.x1)))) REDUCED to normal form. ------ 109228/10396389. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 109229/10396416. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 109230/10396443. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> ((a a)((a a)(^y.y))) 10. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 109231/10396470. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 109232/10396596. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (c (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 109233/10396623. ------ 1. ==[ start ]==> ((((a a) a) a)(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)(b (^x.x))) REDUCED to normal form. ------ 109234/10396668. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.z1))) 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. ------ 109235/10396677. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 109236/10396704. ------ 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)))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 109237/10396722. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)(^z.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.a))) 7. ==[ beta ]==> ((a a)((b a)(^y.a))) 8. ==[ alpha ]==> ((a a)((b a)(^x.a))) REDUCED to normal form. ------ 109238/10396785. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 109239/10396803. ------ 1. ==[ start ]==> ((a (^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 109240/10396974. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109241/10396992. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.b)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109242/10397136. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)(^y.a))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 109243/10397163. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 109244/10397190. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 109245/10397271. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 109246/10397298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 109247/10397343. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 109248/10397388. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a a)(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 109249/10397415. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 109250/10397442. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a b)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 109251/10397469. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 109252/10397496. ------ 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))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(a b))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(a b))) 9. ==[ beta ]==> (a ((^y.y)(a b))) 10. ==[ alpha ]==> (a ((^x.x)(a b))) 11. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 109253/10397523. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 109254/10397550. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) 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. ------ 109255/10397577. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 109256/10397667. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 7. ==[ beta ]==> ((b a)(^y.(^z.z))) 8. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 109257/10397748. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 109258/10397757. ------ 1. ==[ start ]==> (((a b) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 109259/10397802. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 109260/10397811. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 109261/10397829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 109262/10397838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a a))) REDUCED to normal form. ------ 109263/10397892. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109264/10397919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.y)(a (^z.(^x1.x1))))((^y.y)(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 11. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.y1)))) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 109265/10397946. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 109266/10397964. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 109267/10398189. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109268/10398198. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (b a))) REDUCED to normal form. ------ 109269/10398225. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 109270/10398252. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)(a a))) REDUCED to normal form. ------ 109271/10398288. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109272/10398432. ------ 1. ==[ start ]==> (((a b) c)(d (^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)(d (^x.(a a)))) REDUCED to normal form. ------ 109273/10398459. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 109274/10398531. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 109275/10398567. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 109276/10398585. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 109277/10398621. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109278/10398666. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 109279/10398675. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 109280/10398702. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 109281/10398729. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 109282/10399008. ------ 1. ==[ start ]==> ((a (b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(c ((^x.x)(a a)))) 3. ==[ beta ]==> ((a (b a))(c (a a))) REDUCED to normal form. ------ 109283/10399098. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 6. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109284/10399350. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 109285/10399368. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 109286/10399377. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 109287/10399431. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 109288/10399449. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 109289/10399458. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 109290/10399485. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 109291/10399512. ------ 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) REDUCED to normal form. ------ 109292/10399791. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(b (a a))) REDUCED to normal form. ------ 109293/10399845. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 109294/10399854. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109295/10400124. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109296/10400151. ------ 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 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 109297/10400160. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 109298/10400178. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 109299/10400232. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.b))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 109300/10400241. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a 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. ------ 109301/10400268. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109302/10400313. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 109303/10400322. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 109304/10400376. ------ 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 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 109305/10400430. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 109306/10400466. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (a b))) REDUCED to normal form. ------ 109307/10400493. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 109308/10400520. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(a a))) REDUCED to normal form. ------ 109309/10400547. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 109310/10400574. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 8. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 9. ==[ beta ]==> ((a b)((^y.y) a)) 10. ==[ alpha ]==> ((a b)((^x.x) a)) 11. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 109311/10400601. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 109312/10400628. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a b)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 109313/10400655. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))((a a) a))) REDUCED to normal form. ------ 109314/10400682. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a b))) REDUCED to normal form. ------ 109315/10400727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 109316/10400772. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 109317/10400799. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 109318/10400934. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 109319/10401051. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 109320/10401078. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.b))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.b))) 5. ==[ beta ]==> ((b a)(^y.b)) 6. ==[ alpha ]==> ((b a)(^x.b)) REDUCED to normal form. ------ 109321/10401096. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b) a)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) a)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) a)) 5. ==[ beta ]==> (b ((^y.b) a)) 6. ==[ alpha ]==> (b ((^x.b) a)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109322/10401213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109323/10401240. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.a))) REDUCED to normal form. ------ 109324/10401267. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.b))) REDUCED to normal form. ------ 109325/10401294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 109326/10401321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 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. ------ 109327/10401366. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109328/10401375. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 109329/10401402. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 109330/10401573. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.x))) REDUCED to normal form. ------ 109331/10401600. ------ 1. ==[ start ]==> (((a b)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 109332/10401627. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a a))) 9. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 109333/10401654. ------ 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 a))(a (^y.y)))) REDUCED to normal form. ------ 109334/10401708. ------ 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))(a (a a)))) REDUCED to normal form. ------ 109335/10401735. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b (a a))((a a)(^y.y))) 6. ==[ alpha ]==> ((b (a a))((a a)(^x.x))) REDUCED to normal form. ------ 109336/10401798. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 109337/10401933. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 109338/10402041. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^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. ------ 109339/10402158. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 109340/10402185. ------ 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 y1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 109341/10402203. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 109342/10402266. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 109343/10402284. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 109344/10402293. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 109345/10402347. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 109346/10402392. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 109347/10402428. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 109348/10402455. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.a))) REDUCED to normal form. ------ 109349/10402518. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c b)) 3. ==[ beta ]==> (((a (^x.x)) b)(c b)) REDUCED to normal form. ------ 109350/10402545. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b c)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b c)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b c)) REDUCED to normal form. ------ 109351/10402626. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 109352/10402653. ------ 1. ==[ start ]==> (((a b)(a b))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(a ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 109353/10402680. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a a))) REDUCED to normal form. ------ 109354/10402707. ------ 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))(^z.z))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a (^z.z)))) REDUCED to normal form. ------ 109355/10402761. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b b)) REDUCED to normal form. ------ 109356/10402788. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a c)) 3. ==[ beta ]==> ((b (a (^y.y)))(a c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(a c)) REDUCED to normal form. ------ 109357/10402815. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (a a))) REDUCED to normal form. ------ 109358/10402842. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 109359/10402932. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((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. ------ 109360/10404879. ------ 1. ==[ start ]==> ((^a.(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z) y))) 3. ==[ eta ]==> ((^x.(x b))(^z.z)) 4. ==[ alpha ]==> ((^x.(x b))(^y.y)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109361/10410738. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109362/10410945. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 109363/10411038. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109364/10411143. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.((b a)(a (a a)))) 4. ==[ alpha ]==> (^x.((b a)(a (a a)))) REDUCED to normal form. ------ 109365/10411386. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 109366/10411485. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1) a))(((^y.(^z.(^x1.x1)))((^y1.y1) a))((^y.(^z.(^x1.x1)))((^y1.y1) a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.(^z1.(^x2.x2)))((^y2.y2) a))((^z2.(^x3.(^y3.y3)))((^z3.z3) a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^y1.(^z1.(^x2.x2)))((^y2.y2) a))((^z2.(^x3.(^y3.y3)))((^z3.z3) a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))((^z1.z1) a))((^x2.(^y2.(^z2.z2)))((^x3.x3) a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109367/10411758. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.((a a)(a a)))) REDUCED to normal form. ------ 109368/10411836. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.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. ------ 109369/10412775. ------ 1. ==[ start ]==> (((^a.b) a)(^c.(^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. ------ 109370/10412781. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) b)) b) 4. ==[ alpha ]==> (((^x.x)((^y.y) b)) b) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109371/10412784. ------ 1. ==[ start ]==> ((a (a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y) x))) 3. ==[ eta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 109372/10413168. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (^y.(((b a)(a (^z.z)))((b a)(a (^z.z))))) 4. ==[ alpha ]==> (^x.(((b a)(a (^y.y)))((b a)(a (^z.z))))) REDUCED to normal form. ------ 109373/10413414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(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. ------ 109374/10414026. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(^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. ------ 109375/10414593. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(z a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y a))) REDUCED to normal form. ------ 109376/10414806. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(a a)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109377/10415376. ------ 1. ==[ start ]==> (((a a)(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 109378/10416069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109379/10416246. ------ 1. ==[ start ]==> ((^a.(^b.b))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(c ((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109380/10416294. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 109381/10416561. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109382/10416897. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(z b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(z b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(y b))) 5. ==[ beta ]==> (b (^y.(y b))) 6. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 109383/10417059. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((a a) a))) 3. ==[ beta ]==> (b (^y.((a a) a))) 4. ==[ alpha ]==> (b (^x.((a a) a))) REDUCED to normal form. ------ 109384/10417239. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((a a) a))) 3. ==[ beta ]==> (((a a) b)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 109385/10417401. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 109386/10417842. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 109387/10417950. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(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))) REDUCED to normal form. ------ 109388/10418067. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 109389/10418193. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 109390/10418292. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 109391/10418373. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 109392/10418454. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 109393/10418589. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 109394/10418640. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109395/10418643. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 109396/10418733. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.b)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109397/10418853. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 109398/10418943. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (b (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109399/10418970. ------ 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. ------ 109400/10418997. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 109401/10419006. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 109402/10419024. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 109403/10419051. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(a (a a)))) REDUCED to normal form. ------ 109404/10419132. ------ 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 REDUCED to normal form. ------ 109405/10419159. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 109406/10419213. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(b a))) 5. ==[ beta ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 109407/10419240. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 109408/10419294. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 109409/10419366. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 109410/10419384. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 109411/10419393. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 109412/10419465. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a b)((a a)(^y.a))) 6. ==[ alpha ]==> ((a b)((a a)(^x.a))) REDUCED to normal form. ------ 109413/10419492. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.b))) REDUCED to normal form. ------ 109414/10419519. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 109415/10419546. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 109416/10419600. ------ 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))(^x.x))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 109417/10419636. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 109418/10419663. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 109419/10419708. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b) b)) 3. ==[ beta ]==> ((b b)(((^y.y) b) b)) 4. ==[ alpha ]==> ((b b)(((^x.x) b) b)) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 109420/10419717. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^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. ------ 109421/10419744. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 109422/10420212. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 109423/10420266. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> (a ((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> (a ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 109424/10420347. ------ 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. ------ 109425/10420383. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 109426/10420410. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 109427/10420437. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)(^y.a))) REDUCED to normal form. ------ 109428/10420464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109429/10420491. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 109430/10420527. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 109431/10420581. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 109432/10420608. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 109433/10420635. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 109434/10420662. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 109435/10420680. ------ 1. ==[ start ]==> (((^a.b) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 109436/10420689. ------ 1. ==[ start ]==> ((a (a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((a (a b))((^y.y) b)) 4. ==[ alpha ]==> ((a (a b))((^x.x) b)) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 109437/10421031. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 109438/10421049. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 109439/10421058. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 109440/10421076. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 109441/10421292. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109442/10421319. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 109443/10421463. ------ 1. ==[ start ]==> (((a b) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 109444/10421517. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.b)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 109445/10421544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 109446/10421625. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (((a a)(^y.(^z.(^x1.x1))))((a a)(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 109447/10421652. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 109448/10421679. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 109449/10421742. ------ 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))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 109450/10421769. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 109451/10421823. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 109452/10421850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.(a a))(^y.(a a)))) 8. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(a a)))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 109453/10421877. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 109454/10421931. ------ 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))))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 109455/10421994. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 109456/10422129. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 109457/10422210. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(b a))) REDUCED to normal form. ------ 109458/10422246. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a)(^z.z))) REDUCED to normal form. ------ 109459/10422273. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 109460/10422327. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109461/10422354. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 109462/10422381. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 109463/10422408. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 109464/10422435. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(a a)))) REDUCED to normal form. ------ 109465/10422471. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 109466/10422498. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(b a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(b a)) REDUCED to normal form. ------ 109467/10422579. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 9. ==[ beta ]==> ((^y.(a a))(^z.a)) 10. ==[ alpha ]==> ((^x.(a a))(^y.a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109468/10422606. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 109469/10422633. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 109470/10422660. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))(^c.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. ------ 109471/10422687. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 109472/10422714. ------ 1. ==[ start ]==> ((a (b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 109473/10422804. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (b (((a a)(^z.z))(a a))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 109474/10422885. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 109475/10422993. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> ((b a)((a (^x.x))(a a))) REDUCED to normal form. ------ 109476/10423020. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a a)((a a)(^y.y))) 6. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 109477/10423056. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 109478/10423083. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 109479/10423137. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 109480/10423164. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 109481/10423191. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.a))) REDUCED to normal form. ------ 109482/10423218. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 109483/10423281. ------ 1. ==[ start ]==> (((a a)(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.x)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(b a))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)(b a))((a a)(^x.x))) REDUCED to normal form. ------ 109484/10423335. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 109485/10423362. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 109486/10423416. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 109487/10423443. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 109488/10423470. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.b))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 109489/10423497. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 109490/10423560. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109491/10423641. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 109492/10423722. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 109493/10423839. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.a))) REDUCED to normal form. ------ 109494/10423866. ------ 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 z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 109495/10423947. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 109496/10423974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109497/10424028. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) b)) REDUCED to normal form. ------ 109498/10424154. ------ 1. ==[ start ]==> ((a (^b.b))(c ((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(c ((a a) a))) REDUCED to normal form. ------ 109499/10424172. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 109500/10424199. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(a a))) REDUCED to normal form. ------ 109501/10424388. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.b))) REDUCED to normal form. ------ 109502/10424433. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109503/10424442. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 109504/10424469. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 109505/10424802. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (a b))) 3. ==[ beta ]==> (((^y.y) b)(a (a b))) 4. ==[ alpha ]==> (((^x.x) b)(a (a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 109506/10424811. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 109507/10424829. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) 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. ------ 109508/10424883. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 109509/10424964. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 109510/10425000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 109511/10425027. ------ 1. ==[ start ]==> ((((a 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.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 109512/10425081. ------ 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 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(y1 y1)))) REDUCED to normal form. ------ 109513/10425108. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 109514/10425144. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 109515/10425198. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 109516/10425225. ------ 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 y))(^z.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 109517/10425252. ------ 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.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 109518/10425279. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 109519/10425306. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.a)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.a)) REDUCED to normal form. ------ 109520/10425441. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 109521/10425747. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(a ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(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. ------ 109522/10425783. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y)) b)) 3. ==[ beta ]==> ((b b)((^y.(y y)) b)) 4. ==[ alpha ]==> ((b b)((^x.(x x)) b)) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 109523/10425810. ------ 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. ------ 109524/10425828. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 109525/10425855. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 109526/10425891. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 109527/10425972. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 109528/10425999. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 109529/10426053. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) c)) REDUCED to normal form. ------ 109530/10426098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109531/10426107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 109532/10426134. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 109533/10426197. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 109534/10426224. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 109535/10426251. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 109536/10426278. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 109537/10426305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 109538/10426332. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 109539/10426359. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.a)) 4. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 109540/10426413. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 109541/10426467. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 109542/10426494. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 109543/10426521. ------ 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. ------ 109544/10426548. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 109545/10426638. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a b)) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109546/10428594. ------ 1. ==[ start ]==> ((^a.(a b))(^c.(^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. ------ 109547/10434453. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109548/10434705. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109549/10434771. ------ 1. ==[ start ]==> (((a a) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 109550/10435110. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 109551/10435209. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.a))(((a (^y.(^z.z)))(^x1.a))((a (^y.(^z.z)))(^x1.a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((a (^x1.(^y1.y1)))(^z1.a))((a (^x2.(^y2.y2)))(^z2.a)))) REDUCED to normal form. ------ 109552/10435434. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109553/10436325. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 109554/10436505. ------ 1. ==[ start ]==> ((^a.(a b))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))((a a)(^y.y))) 3. ==[ beta ]==> (((a a)(^y.y)) b) 4. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 109555/10436508. ------ 1. ==[ start ]==> ((a (a b))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 109556/10436517. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.z)) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109557/10436850. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 109558/10437774. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1))) a)((^z.(^x1.(^y1.y1))) a))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z))) a)((^x1.(^y1.(^z1.z1))) a))(^x2.x2)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1))) a))(^z1.z1)) 7. ==[ beta ]==> ((^y.y)(^z1.z1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109559/10438056. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.(^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. ------ 109560/10439079. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 109561/10439100. ------ 1. ==[ start ]==> (((a a)(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 109562/10439361. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109563/10439970. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109564/10440285. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109565/10440621. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.y))) 5. ==[ beta ]==> (b (^y.(^z.y))) 6. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 109566/10440630. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 109567/10440792. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 109568/10440963. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.a))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.a))) REDUCED to normal form. ------ 109569/10441566. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 109570/10441683. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 109571/10441809. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 109572/10441917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 109573/10441926. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 (x1 x1)))) REDUCED to normal form. ------ 109574/10442097. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.a))) REDUCED to normal form. ------ 109575/10442178. ------ 1. ==[ start ]==> (((a b)(a b))(^c.c)) 2. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 109576/10442313. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 109577/10442364. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109578/10442367. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.b)) REDUCED to normal form. ------ 109579/10442457. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109580/10442595. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 109581/10442622. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 109582/10442631. ------ 1. ==[ start ]==> (((^a.a) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)(c ((^y.y) b))) 3. ==[ beta ]==> (b (c ((^y.y) b))) 4. ==[ alpha ]==> (b (c ((^x.x) b))) 5. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 109583/10442658. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(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. ------ 109584/10442685. ------ 1. ==[ start ]==> (((a a) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(a (b (^x.x)))) REDUCED to normal form. ------ 109585/10442712. ------ 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. ------ 109586/10442739. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 109587/10442766. ------ 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)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 109588/10442820. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((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. ------ 109589/10442901. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a) a)(a a))) REDUCED to normal form. ------ 109590/10442928. ------ 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. ------ 109591/10442955. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(b a))) REDUCED to normal form. ------ 109592/10442982. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 109593/10443009. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 109594/10443027. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 109595/10443072. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 109596/10443099. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 109597/10443126. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 109598/10443135. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))((^y1.y1) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109599/10443216. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((^y.(a a))((a a) a)) 8. ==[ alpha ]==> ((^x.(a a))((a a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109600/10443243. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(a b))) 3. ==[ beta ]==> ((a (a a))((^y.b)(a b))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(a b))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 109601/10443324. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(b a))) 5. ==[ beta ]==> (((a a)(a a))((b a)(b a))) REDUCED to normal form. ------ 109602/10443351. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 109603/10443369. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 109604/10443423. ------ 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. ------ 109605/10443450. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b) b)) 3. ==[ beta ]==> (((a (a a))(a a))(b b)) REDUCED to normal form. ------ 109606/10443486. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109607/10443567. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109608/10443648. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109609/10443702. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 109610/10443738. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((^z.z) b))) 5. ==[ beta ]==> ((^y.y)(b ((^z.z) b))) 6. ==[ alpha ]==> ((^x.x)(b ((^y.y) b))) 7. ==[ beta ]==> (b ((^y.y) b)) 8. ==[ alpha ]==> (b ((^x.x) b)) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109611/10443801. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 109612/10444035. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(b a))) 5. ==[ beta ]==> (b (((^y.y) a)(b a))) 6. ==[ alpha ]==> (b (((^x.x) a)(b a))) 7. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 109613/10444062. ------ 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))))) REDUCED to normal form. ------ 109614/10444080. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.y))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 109615/10444161. ------ 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)))(a (^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 109616/10444242. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 109617/10444260. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((a b)(^x.a))) REDUCED to normal form. ------ 109618/10444287. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(^z.b))) REDUCED to normal form. ------ 109619/10444314. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^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. ------ 109620/10444395. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 109621/10444422. ------ 1. ==[ start ]==> ((a (a b))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 109622/10444431. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.b)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109623/10444593. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)(^x1.a))) 3. ==[ beta ]==> (b ((^z.b)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109624/10444620. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 109625/10444647. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109626/10444737. ------ 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. ------ 109627/10444764. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 109628/10444791. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 109629/10444980. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 109630/10445025. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.a))) 3. ==[ beta ]==> ((^y.(a a))(c (^z.a))) 4. ==[ alpha ]==> ((^x.(a a))(c (^y.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109631/10445052. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 109632/10445106. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(a a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109633/10445187. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 109634/10445268. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109635/10445322. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 11. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 12. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 13. ==[ beta ]==> a REDUCED to normal form. ------ 109636/10445403. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 109637/10445628. ------ 1. ==[ start ]==> (((^a.b) c)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(c ((a a)(^y.y)))) 3. ==[ beta ]==> (b (c ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 109638/10445691. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 109639/10445871. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(a b))) REDUCED to normal form. ------ 109640/10445898. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) b)(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a a) b)(a (a a))) REDUCED to normal form. ------ 109641/10445925. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 109642/10445970. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 109643/10446105. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109644/10446258. ------ 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. ------ 109645/10446285. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 109646/10446681. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))((a a) a))) REDUCED to normal form. ------ 109647/10446726. ------ 1. ==[ start ]==> (((^a.a)(b a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c (^y.(a a)))) 3. ==[ beta ]==> ((b a)(c (^y.(a a)))) 4. ==[ alpha ]==> ((b a)(c (^x.(a a)))) REDUCED to normal form. ------ 109648/10446753. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 109649/10446807. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 109650/10446888. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (b ((^y.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109651/10446996. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 109652/10447014. ------ 1. ==[ start ]==> (((a a)(b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 109653/10447041. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 109654/10447068. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a)) b)) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a (a a))((a a) b)) REDUCED to normal form. ------ 109655/10447095. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b) c)) REDUCED to normal form. ------ 109656/10447275. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109657/10447455. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (b (c (^x1.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 109658/10447563. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109659/10447617. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109660/10447671. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a) a))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 109661/10447752. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 109662/10447860. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109663/10447887. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 109664/10447959. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 109665/10447986. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b) b)) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 109666/10448013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a) c)) 5. ==[ beta ]==> ((a b)((^y.a) c)) 6. ==[ alpha ]==> ((a b)((^x.a) c)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 109667/10448175. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)(^z.z))) REDUCED to normal form. ------ 109668/10448202. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 109669/10448211. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.a)(a (^z.z))) 6. ==[ alpha ]==> ((^x.a)(a (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 109670/10448238. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))((^y2.y2) 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. ------ 109671/10448373. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109672/10448481. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109673/10448490. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(c (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.z))) REDUCED to normal form. ------ 109674/10448517. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b ((a a) a))) 3. ==[ beta ]==> ((b a)(b ((a a) a))) REDUCED to normal form. ------ 109675/10448535. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 109676/10448544. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 109677/10448571. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(a a))) REDUCED to normal form. ------ 109678/10448652. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109679/10448679. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 109680/10448697. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.a))) 3. ==[ beta ]==> (b (b (^y.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 109681/10448706. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 109682/10448805. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109683/10448877. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.a))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.a))) REDUCED to normal form. ------ 109684/10448904. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 109685/10448931. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((a (b a))((^y.y) b)) 6. ==[ alpha ]==> ((a (b a))((^x.x) b)) 7. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 109686/10449093. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z)) b)) 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. ------ 109687/10449237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109688/10449372. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 109689/10449480. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 109690/10449516. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(a a))) 3. ==[ beta ]==> ((b b)((a (a a))(a a))) REDUCED to normal form. ------ 109691/10449543. ------ 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. ------ 109692/10449588. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 109693/10449597. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(a (a a)))) REDUCED to normal form. ------ 109694/10449642. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((b a)(b a))((a a)(a a))) REDUCED to normal form. ------ 109695/10449723. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (b ((^y.y)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 109696/10449786. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (a (^x1.x1)))) REDUCED to normal form. ------ 109697/10449831. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^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. ------ 109698/10449840. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (a (a a)))) REDUCED to normal form. ------ 109699/10449867. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 109700/10449894. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 109701/10449957. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 109702/10449984. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 109703/10450011. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.a))) REDUCED to normal form. ------ 109704/10450038. ------ 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. ------ 109705/10450065. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y)) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 109706/10450092. ------ 1. ==[ start ]==> (((a b)(a b))((a a) c)) REDUCED to normal form. ------ 109707/10450119. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a) a)) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 109708/10450146. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 109709/10450200. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 109710/10450227. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 109711/10450254. ------ 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. ------ 109712/10450281. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a) b)) REDUCED to normal form. ------ 109713/10450371. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109714/10453605. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^z.(z (^x1.(^y1.y1))))(^z.(z (^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(x1 (^y1.(^z1.z1)))))(^x2.x2)) 5. ==[ beta ]==> (((^x1.(x1 (^y1.(^z1.z1))))(^y.(^z.z)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(x (^y.(^z.z))))(^x1.(^y1.y1)))(^z1.z1)) 7. ==[ beta ]==> (((^x1.(^y1.y1))(^y.(^z.z)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 9. ==[ beta ]==> ((^y.y)(^y1.y1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109715/10455198. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^x1.((x1 x1)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^z.(^x1.x1))(^z.(^x1.x1)))(^y.y)) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> ((^y.y)(^y1.y1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109716/10458501. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((b ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((b ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 109717/10458690. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))((a a) a))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 109718/10459185. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109719/10459611. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 109720/10459743. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(a a))((^z.z)(^x1.x1)))(((^y.y)(a a))((^z.z)(^x1.x1))))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))(((^x2.x2)(a a))((^y2.y2)(^z2.z2)))) 5. ==[ beta ]==> ((((a a)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1))))(((^x2.x2)(a a))((^y2.y2)(^z2.z2)))) 6. ==[ alpha ]==> ((((a a)((^x.x)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1))))(((^z1.z1)(a a))((^x2.x2)(^y2.y2)))) 7. ==[ beta ]==> ((((a a)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1))))(((^z1.z1)(a a))((^x2.x2)(^y2.y2)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1))))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)((^z.z)(^x1.x1))))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)((^y.y)(^z.z))))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 11. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 12. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 13. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((^x1.x1)(^y1.y1)))) 14. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)((^z.z)(^x1.x1)))) 15. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 16. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 109721/10459953. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 109722/10460076. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 109723/10460268. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.(^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. ------ 109724/10460601. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 109725/10460643. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1))) b)((^z.(^x1.(^y1.y1))) b))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1))) b)((^y1.(^z1.(^x2.x2))) b))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.(^z1.(^x2.x2))) b))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109726/10460850. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((((^z.z) a)((a a)(^x1.x1)))(((^z.z) a)((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) a)((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1))))) 5. ==[ beta ]==> ((((^y.y) a)((a a)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z)))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((a a)(^z.z)))) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 109727/10461222. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 109728/10461525. ------ 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 ]==> (((a (a (^z.(^x1.x1))))(a (a (^z.(^x1.x1)))))(^y.y)) 4. ==[ alpha ]==> (((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1)))))(^y1.y1)) REDUCED to normal form. ------ 109729/10461528. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 109730/10461816. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 109731/10462830. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 109732/10463112. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109733/10463118. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 109734/10463121. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 109735/10463796. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(y y))) REDUCED to normal form. ------ 109736/10464003. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109737/10464381. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 109738/10464543. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 109739/10464570. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 109740/10464903. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((z z) z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((z z) z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((y y) y))) REDUCED to normal form. ------ 109741/10465035. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z))))(((a a)((^y.y)(^z.z)))((a a)((^y.y)(^z.z))))) 4. ==[ alpha ]==> ((((a a)((^x.x)(^y.y)))((a a)((^z.z)(^x1.x1))))(((a a)((^y1.y1)(^z1.z1)))((a a)((^x2.x2)(^y2.y2))))) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)((^z.z)(^x1.x1))))(((a a)((^y1.y1)(^z1.z1)))((a a)((^x2.x2)(^y2.y2))))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)((^y.y)(^z.z))))(((a a)((^x1.x1)(^y1.y1)))((a a)((^z1.z1)(^x2.x2))))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^z.z)))(((a a)((^x1.x1)(^y1.y1)))((a a)((^z1.z1)(^x2.x2))))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)((^z.z)(^x1.x1)))((a a)((^y1.y1)(^z1.z1))))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)((^y1.y1)(^z1.z1))))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)((^x1.x1)(^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. ------ 109742/10465461. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 109743/10465560. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(z z)))) 3. ==[ beta ]==> (b (^y.(^z.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 109744/10465569. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 109745/10465677. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 109746/10465956. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x)(a a))((a a) a))(^z.z)) 4. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.y)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 109747/10466115. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109748/10466364. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 109749/10466391. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 109750/10466427. ------ 1. ==[ start ]==> ((a (a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 109751/10466517. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 109752/10466562. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(a (a a)))) REDUCED to normal form. ------ 109753/10466589. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 109754/10466616. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 109755/10466805. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 109756/10466877. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 109757/10466895. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.a))((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.(^y1.y1)))(^z1.a))) REDUCED to normal form. ------ 109758/10466922. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 109759/10466958. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 109760/10466985. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 109761/10467003. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(^y.b))) 3. ==[ beta ]==> ((a (a a))((a b)(^y.b))) 4. ==[ alpha ]==> ((a (a a))((a b)(^x.b))) REDUCED to normal form. ------ 109762/10467012. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 109763/10467030. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 109764/10467039. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 109765/10467066. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109766/10467093. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((b a)(b a))) REDUCED to normal form. ------ 109767/10467111. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109768/10467201. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((b b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 109769/10467246. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109770/10467336. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 109771/10467363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.b))) 5. ==[ beta ]==> (a ((^y.b)(^z.b))) 6. ==[ alpha ]==> (a ((^x.b)(^y.b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 109772/10467390. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 109773/10467417. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 109774/10467471. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 109775/10467498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109776/10467534. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 109777/10467561. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (a a))) REDUCED to normal form. ------ 109778/10467588. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 109779/10467615. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 109780/10467642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 109781/10467669. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 109782/10467876. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.(a a)))) REDUCED to normal form. ------ 109783/10467903. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 109784/10467921. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 109785/10467930. ------ 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)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 109786/10468002. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 109787/10468173. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109788/10468191. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.b)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.b)((a a)(^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109789/10468272. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) c)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a) c)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a) c)) IRREDUCIBLE: cycle. ------ 109790/10468335. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 109791/10468362. ------ 1. ==[ start ]==> (((a b) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b) a)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 109792/10468389. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 109793/10468443. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109794/10468497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 109795/10468524. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109796/10468542. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109797/10468569. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 109798/10468587. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((b a)(a (^x.x)))) REDUCED to normal form. ------ 109799/10468614. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 109800/10468641. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 109801/10468668. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.x))) REDUCED to normal form. ------ 109802/10468695. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)((a a) a))) 7. ==[ beta ]==> (a (((a a) a)((a a) a))) REDUCED to normal form. ------ 109803/10468722. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 109804/10468749. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 109805/10468776. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 109806/10468866. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109807/10468947. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.(y1 y1)))) 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. ------ 109808/10468956. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 109809/10468983. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 109810/10469010. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 109811/10469028. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 109812/10469037. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 109813/10469091. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 109814/10469118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b a))) 7. ==[ beta ]==> (((^y.(^z.z))(b a))((^y.(^z.z))(b a))) 8. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 11. ==[ beta ]==> ((^y.(^z.z))(b a)) 12. ==[ alpha ]==> ((^x.(^y.y))(b a)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109815/10469145. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 109816/10469163. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 109817/10469172. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 109818/10469388. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109819/10469397. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 109820/10469424. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (b a))) 3. ==[ beta ]==> (((a a)(a a))(b (b a))) REDUCED to normal form. ------ 109821/10469451. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 109822/10469739. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109823/10469784. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 109824/10469820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109825/10469847. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 109826/10469865. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 109827/10469874. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 109828/10469901. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 109829/10469928. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a b)(a b))) REDUCED to normal form. ------ 109830/10470567. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 109831/10470576. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 109832/10470630. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 109833/10470648. ------ 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 y)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(y y)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 109834/10470657. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 109835/10470684. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 109836/10470711. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 109837/10470756. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 109838/10471044. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 109839/10471134. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a) d)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a) d)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a) d)) 5. ==[ beta ]==> ((a a)((^z.a) d)) 6. ==[ alpha ]==> ((a a)((^x.a) d)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 109840/10471323. ------ 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))((a b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109841/10471332. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 109842/10471350. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 109843/10471377. ------ 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 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 109844/10471440. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 109845/10471467. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109846/10471512. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 109847/10471521. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 109848/10471548. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 109849/10471575. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 109850/10471629. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 109851/10471692. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (a b))) REDUCED to normal form. ------ 109852/10471719. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 109853/10471746. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(a a))) REDUCED to normal form. ------ 109854/10471773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(((a a) a)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 109855/10471800. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x) a)) 7. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 109856/10471827. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 109857/10471854. ------ 1. ==[ start ]==> ((((^a.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)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) 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. ------ 109858/10471881. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))((a a) a))) REDUCED to normal form. ------ 109859/10471926. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109860/10471971. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 109861/10471998. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(^y2.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. ------ 109862/10472133. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 109863/10472250. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 109864/10472277. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 109865/10472304. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 109866/10472322. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> ((^y.y)((^y1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109867/10472376. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1)) c)) 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. ------ 109868/10472439. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 109869/10472466. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.a))) REDUCED to normal form. ------ 109870/10472493. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 109871/10472565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109872/10472574. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^z1.z1) a)((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^z1.z1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a a)) REDUCED to normal form. ------ 109873/10472601. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 109874/10472772. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (a (a a)))) REDUCED to normal form. ------ 109875/10472799. ------ 1. ==[ start ]==> (((a b)((a a) a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))(b (^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 109876/10472826. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a ((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a ((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a ((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 109877/10472853. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 109878/10472907. ------ 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)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 109879/10472934. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 109880/10472961. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a a)(^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((a a)(^x.x))) REDUCED to normal form. ------ 109881/10472997. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109882/10473132. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109883/10473321. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.a) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.a) c)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 109884/10473357. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 109885/10473384. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 109886/10473402. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(^y.y))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(^x.x))) REDUCED to normal form. ------ 109887/10473465. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 109888/10473483. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.(y y)))) 3. ==[ beta ]==> (b ((a a)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 109889/10473492. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (a a))) REDUCED to normal form. ------ 109890/10473546. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 109891/10473600. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.(y1 y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(x1 x1))) REDUCED to normal form. ------ 109892/10473690. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a a) a)) REDUCED to normal form. ------ 109893/10473771. ------ 1. ==[ start ]==> (((a (a a))(b a))(b c)) REDUCED to normal form. ------ 109894/10473852. ------ 1. ==[ start ]==> (((a b)(a b))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(b (a (^x.x)))) REDUCED to normal form. ------ 109895/10473879. ------ 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. ------ 109896/10473906. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a a))) REDUCED to normal form. ------ 109897/10473987. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b b)) 3. ==[ beta ]==> ((b (a (^y.y)))(b b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(b b)) REDUCED to normal form. ------ 109898/10474041. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (a a))) REDUCED to normal form. ------ 109899/10474131. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109900/10474211. ------ 1. ==[ start ]==> (^a.((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (^x.((^y.b)(^z.(x x)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 109901/10474212. ------ 1. ==[ start ]==> (a ((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (a ((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 109902/10477374. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.(^z1.z1))))(^z.(^x1.(^y1.(^z1.z1)))))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.(^y2.y2)))))(^z2.z2)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^z2.z2)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109903/10478967. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^x1.(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109904/10482138. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a))) a) 2. ==[ alpha ]==> (((^x.b)(^y.(a a))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 109905/10482144. ------ 1. ==[ start ]==> ((^a.a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.(a a))) 4. ==[ alpha ]==> ((^x.b)(^y.(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109906/10482318. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 109907/10482396. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (^y.((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (^x.((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (^x.((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 109908/10482639. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 109909/10482738. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^y.y)(a (^z.z)))((^y.y)(a (^z.z))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a (^x1.x1)))((^y1.y1)(a (^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a (^x1.x1)))((^y1.y1)(a (^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a (^z.z)))((^x1.x1)(a (^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))((a (^z.z))((^x1.x1)(a (^y1.y1))))) 8. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z)(a (^x1.x1))))) 9. ==[ beta ]==> ((a (^x.x))((a (^y.y))(a (^x1.x1)))) 10. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 109910/10483038. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 109911/10483089. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109912/10483389. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 109913/10484034. ------ 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 ]==> (((^y.(^z.z))(a (^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1)))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 109914/10484397. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 109915/10484421. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))(a a))((a (^z.(^x1.x1)))(a a)))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))(a a))((a (^x1.(^y1.y1)))(a a)))) REDUCED to normal form. ------ 109916/10485000. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109917/10485303. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^z.z)(^x1.(^y1.(^z1.z1))))((^z.z)(^x1.(^y1.(^z1.z1)))))(^y.y)) 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))(^y2.y2)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109918/10485306. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 109919/10485873. ------ 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. ------ 109920/10486059. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(^z.b))) 3. ==[ eta ]==> (b ((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109921/10486152. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(b z))) 3. ==[ eta ]==> (((^x.(x x))(^y.b)) b) 4. ==[ beta ]==> (((^y.b)(^y.b)) b) 5. ==[ alpha ]==> (((^x.b)(^y.b)) b) 6. ==[ beta ]==> (b b) REDUCED to normal form. ------ 109922/10486656. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 109923/10486899. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 109924/10486908. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 109925/10487574. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 109926/10487790. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 109927/10487814. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 109928/10488177. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(y1 b))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 109929/10488519. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.((a a) a))) REDUCED to normal form. ------ 109930/10488681. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 109931/10488813. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b (^y.(^z.z)))(b (^y.(^z.z))))((b (^y.(^z.z)))(b (^y.(^z.z))))) 4. ==[ alpha ]==> (((b (^x.(^y.y)))(b (^z.(^x1.x1))))((b (^y1.(^z1.z1)))(b (^x2.(^y2.y2))))) REDUCED to normal form. ------ 109932/10489347. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(z z)))) REDUCED to normal form. ------ 109933/10489455. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.d)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.d)) REDUCED to normal form. ------ 109934/10489572. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 109935/10489653. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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))(^y.a)) REDUCED to normal form. ------ 109936/10489734. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 109937/10489815. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.z))) REDUCED to normal form. ------ 109938/10489869. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(a (^y.y)))) REDUCED to normal form. ------ 109939/10489893. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109940/10490067. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 109941/10490079. ------ 1. ==[ start ]==> ((a a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 109942/10490187. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 109943/10490223. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109944/10490250. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 109945/10490277. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 109946/10490304. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 109947/10490313. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) c) REDUCED to normal form. ------ 109948/10490331. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 109949/10490412. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.a)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 109950/10490439. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 109951/10490493. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 109952/10490520. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 109953/10490574. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 109954/10490592. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a) a)(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(a a)))) REDUCED to normal form. ------ 109955/10490664. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 109956/10490673. ------ 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. ------ 109957/10490745. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 109958/10490799. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.b))) REDUCED to normal form. ------ 109959/10490826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 109960/10490916. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 109961/10490943. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 109962/10490970. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 109963/10490988. ------ 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. ------ 109964/10491024. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 109965/10491492. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 109966/10491546. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))((^y1.y1)(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. ------ 109967/10491627. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 109968/10491654. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y) b))) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 109969/10491690. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(^z.z))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 109970/10491717. ------ 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)))) REDUCED to normal form. ------ 109971/10491744. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 109972/10491771. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 109973/10491807. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 109974/10491834. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 109975/10491888. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 109976/10491915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 109977/10491942. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 109978/10491960. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 109979/10491969. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 109980/10492329. ------ 1. ==[ start ]==> (((^a.b)(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 109981/10492338. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b) a)) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 109982/10492356. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 109983/10492572. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 109984/10492599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 109985/10492743. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b) b)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 109986/10492770. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 109987/10492797. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 109988/10492824. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 109989/10492878. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a) a)(^c.(^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. ------ 109990/10492932. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 109991/10492959. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 109992/10492986. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) b)) REDUCED to normal form. ------ 109993/10493049. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 109994/10493076. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 109995/10493130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 109996/10493157. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 109997/10493184. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 109998/10493238. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 109999/10493274. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 110000/10493409. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^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. ------ 110001/10493490. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 110002/10493517. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(b a))) 3. ==[ beta ]==> ((^y.y)((a a)(b a))) 4. ==[ alpha ]==> ((^x.x)((a a)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 110003/10493553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a)(^z.z))) 3. ==[ beta ]==> ((a (^y.b))((b a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.b))((b a)(^y.y))) REDUCED to normal form. ------ 110004/10493607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110005/10493634. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 110006/10493661. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 110007/10493715. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.b))) REDUCED to normal form. ------ 110008/10493751. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 110009/10493778. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 110010/10493805. ------ 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. ------ 110011/10493886. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 110012/10493913. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 110013/10493967. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 110014/10493994. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> ((a (b a))((^y.b)(^y.b))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 110015/10494084. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 110016/10494165. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (b ((a b)((^z.z) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 110017/10494273. ------ 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. ------ 110018/10494300. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 110019/10494363. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 110020/10494417. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 110021/10494444. ------ 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 y)))) REDUCED to normal form. ------ 110022/10494471. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 110023/10494561. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 110024/10494588. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 110025/10494642. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 110026/10494669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 110027/10494723. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 110028/10494777. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 110029/10494840. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a ((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110030/10494921. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((a a)(((a a) a)((^x.x) a))) 7. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 110031/10495002. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 110032/10495119. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 110033/10495146. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 110034/10495227. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 110035/10495254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.b))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110036/10495308. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 110037/10495335. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b) b)) REDUCED to normal form. ------ 110038/10495362. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a) c)) REDUCED to normal form. ------ 110039/10495452. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 110040/10495479. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 110041/10495506. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(a a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 110042/10495722. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.(a a)))) REDUCED to normal form. ------ 110043/10495749. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(a a))) 3. ==[ beta ]==> ((a b)((^y.b)(a a))) 4. ==[ alpha ]==> ((a b)((^x.b)(a a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 110044/10496082. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y) b)(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)(b ((a a) a))) 5. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 110045/10496109. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 110046/10496118. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 110047/10496163. ------ 1. ==[ start ]==> (((^a.(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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 110048/10496244. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 110049/10496307. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 110050/10496361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(^y1.a))) REDUCED to normal form. ------ 110051/10496388. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.(z z)))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 110052/10496424. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 110053/10496451. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 110054/10496478. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 110055/10496505. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 110056/10496532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 9. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 10. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 11. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 110057/10496559. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 110058/10496586. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 110059/10496721. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.(y y)))) 3. ==[ beta ]==> ((b (a a))(c (^y.(y y)))) 4. ==[ alpha ]==> ((b (a a))(c (^x.(x x)))) REDUCED to normal form. ------ 110060/10496748. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 110061/10497027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110062/10497063. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^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)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 110063/10497090. ------ 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. ------ 110064/10497108. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 110065/10497135. ------ 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.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. ------ 110066/10497252. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 110067/10497279. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 110068/10497333. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a b)) REDUCED to normal form. ------ 110069/10497378. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 110070/10497414. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 110071/10497441. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 110072/10497477. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.a))) REDUCED to normal form. ------ 110073/10497504. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(y y)))) REDUCED to normal form. ------ 110074/10497531. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 110075/10497558. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 110076/10497585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 110077/10497612. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 110078/10497639. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 110079/10497666. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.a)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 110080/10497747. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.a))) REDUCED to normal form. ------ 110081/10497774. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 110082/10497801. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 110083/10497828. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 110084/10497918. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b a)) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110085/10497999. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110086/10505934. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a))) b) 2. ==[ alpha ]==> (((^x.b)(^y.(a a))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110087/10505958. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110088/10506039. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110089/10506132. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(b (^z.z)))) REDUCED to normal form. ------ 110090/10506543. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y) b)(^z.(^x1.x1)))((((^y.y) b)(^z.(^x1.x1)))(((^y.y) b)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((((^x1.x1) b)(^y1.(^z1.z1)))(((^x2.x2) b)(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((b (^y.(^z.z)))((((^x1.x1) b)(^y1.(^z1.z1)))(((^x2.x2) b)(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((((^z.z) b)(^x1.(^y1.y1)))(((^z1.z1) b)(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((b (^x.(^y.y)))((b (^x1.(^y1.y1)))(((^z1.z1) b)(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))((b (^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((b (^x.(^y.y)))((b (^z.(^x1.x1)))(b (^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((b (^x.(^y.y)))((b (^z.(^x1.x1)))(b (^y1.(^z1.z1))))) REDUCED to normal form. ------ 110091/10506768. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110092/10506894. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b) 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. ------ 110093/10507536. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^x1.b)) REDUCED to normal form. ------ 110094/10507659. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 110095/10507839. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 110096/10508202. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110097/10508211. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 110098/10508526. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110099/10508823. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 110100/10509399. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(b a))) REDUCED to normal form. ------ 110101/10509678. ------ 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. ------ 110102/10510209. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 110103/10510413. ------ 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. ------ 110104/10510713. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110105/10511172. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 110106/10511304. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110107/10511586. ------ 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. ------ 110108/10511619. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110109/10511793. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a z))) 3. ==[ eta ]==> (((^x.b)(^y.a)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110110/10511982. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 110111/10511991. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 b))) REDUCED to normal form. ------ 110112/10512153. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a) a))) REDUCED to normal form. ------ 110113/10512657. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 110114/10512792. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110115/10512936. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 110116/10513062. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 110117/10513287. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(z (z z)))) REDUCED to normal form. ------ 110118/10513620. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.c)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.c)) REDUCED to normal form. ------ 110119/10513698. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110120/10513791. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110121/10513872. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110122/10513902. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 110123/10513983. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 110124/10514046. ------ 1. ==[ start ]==> (((a a) b)(b ((a a)(a a)))) REDUCED to normal form. ------ 110125/10514073. ------ 1. ==[ start ]==> (((a (^a.a)) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(a (b (^y.y)))) REDUCED to normal form. ------ 110126/10514100. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 110127/10514127. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 110128/10514181. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((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. ------ 110129/10514262. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a b)(a b))) REDUCED to normal form. ------ 110130/10514289. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 110131/10514316. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 110132/10514343. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))(b a))) REDUCED to normal form. ------ 110133/10514370. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 110134/10514460. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 110135/10514487. ------ 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. ------ 110136/10514496. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a (^z.z)))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> ((a (^y.y))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 10. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 110137/10514523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 110138/10514604. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 110139/10514631. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.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. ------ 110140/10514685. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 110141/10514712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 110142/10514730. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 110143/10514757. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))(^z.z))) REDUCED to normal form. ------ 110144/10514811. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a)) a)) REDUCED to normal form. ------ 110145/10514838. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 110146/10514847. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110147/10514874. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^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. ------ 110148/10514982. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.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. ------ 110149/10515189. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 110150/10515396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))((a a)(^y.y)))) 6. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 110151/10515423. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(b a))) 3. ==[ beta ]==> ((((a a) a) a)(a (b a))) REDUCED to normal form. ------ 110152/10515468. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.y)(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110153/10515477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a) b)) REDUCED to normal form. ------ 110154/10515522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a a))) 7. ==[ beta ]==> ((a a)((^y.y)(a a))) 8. ==[ alpha ]==> ((a a)((^x.x)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110155/10515603. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 110156/10515621. ------ 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)))) 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. ------ 110157/10515648. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.a))) REDUCED to normal form. ------ 110158/10515675. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a) a)(^x.b))) REDUCED to normal form. ------ 110159/10515702. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)(^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. ------ 110160/10515783. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 110161/10515792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110162/10515873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) IRREDUCIBLE: cycle. ------ 110163/10515954. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110164/10515981. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 110165/10516098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (b a))) 5. ==[ beta ]==> ((^y.a)(c (b a))) 6. ==[ alpha ]==> ((^x.a)(c (b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110166/10516125. ------ 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. ------ 110167/10516143. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110168/10516152. ------ 1. ==[ start ]==> (((a b)(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y) b))) 3. ==[ beta ]==> (((a b)(^x.x))(a b)) REDUCED to normal form. ------ 110169/10516188. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 110170/10516341. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 110171/10516413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 110172/10516467. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (^y1.y1))) 5. ==[ beta ]==> ((^y.y)(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(a (^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 110173/10516548. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110174/10516602. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 110175/10516629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110176/10516683. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 11. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 12. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 13. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 14. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 15. ==[ beta ]==> ((a a)((^y.y)(a a))) 16. ==[ alpha ]==> ((a a)((^x.x)(a a))) 17. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110177/10516764. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 110178/10516989. ------ 1. ==[ start ]==> (((^a.b) c)(d ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(d ((^y.y)(a a)))) 3. ==[ beta ]==> (b (d ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (d ((^x.x)(a a)))) 5. ==[ beta ]==> (b (d (a a))) REDUCED to normal form. ------ 110179/10517232. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b) c)((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a b) c)((^x.x)((a a) a))) 5. ==[ beta ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 110180/10517259. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(a b))) 3. ==[ beta ]==> (((a a) b)((a (a a))(a b))) REDUCED to normal form. ------ 110181/10517286. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 110182/10517340. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(b a))) REDUCED to normal form. ------ 110183/10517466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(a (a a)))) 3. ==[ beta ]==> (b ((^z.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110184/10517565. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 110185/10517646. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a) a)) REDUCED to normal form. ------ 110186/10517673. ------ 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)))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z)) b)) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) b)) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 9. ==[ beta ]==> (((a a)(^y.y)) b) 10. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 110187/10518042. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.z))) 7. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 110188/10518150. ------ 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. ------ 110189/10518249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.b)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110190/10518357. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 110191/10518375. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 110192/10518429. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y)) a)) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y)) a)) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 110193/10518456. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a b))((a a) b)) REDUCED to normal form. ------ 110194/10518483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b) c)) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b) c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b) c)) 5. ==[ beta ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 110195/10518636. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110196/10518924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(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. ------ 110197/10518951. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 110198/10518978. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110199/10519032. ------ 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 z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 10. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 11. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 12. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 13. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 14. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 15. ==[ beta ]==> (((a a)(a a))(^y.y)) 16. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 110200/10519113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^x1.x1)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110201/10519221. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110202/10519248. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 110203/10519347. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) a)) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 110204/10519374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b) b)) 5. ==[ beta ]==> ((a b)((^y.b) b)) 6. ==[ alpha ]==> ((a b)((^x.b) b)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 110205/10519527. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110206/10519563. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)(^y.y))) 3. ==[ beta ]==> ((a b)((a b)(^y.y))) 4. ==[ alpha ]==> ((a b)((a b)(^x.x))) REDUCED to normal form. ------ 110207/10519572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110208/10519734. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a b))) 3. ==[ beta ]==> (b ((^z.z)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 110209/10519842. ------ 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 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110210/10519878. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b a)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b a)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b a)(c (^y.y))) 6. ==[ alpha ]==> ((b a)(c (^x.x))) REDUCED to normal form. ------ 110211/10519896. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110212/10519905. ------ 1. ==[ start ]==> (((a a)(^b.b))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(b ((a a) a))) REDUCED to normal form. ------ 110213/10519923. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.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. ------ 110214/10519932. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a b))) REDUCED to normal form. ------ 110215/10520013. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110216/10520040. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (a (a a)))) REDUCED to normal form. ------ 110217/10520058. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 110218/10520067. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 110219/10520094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 110220/10520166. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110221/10520238. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 110222/10520292. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a) a)) 3. ==[ beta ]==> ((a (b a))(((a a) a) a)) REDUCED to normal form. ------ 110223/10520319. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 110224/10520598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.a))) 3. ==[ beta ]==> ((^y.y)(a (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 110225/10520733. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110226/10520841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110227/10520877. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)(a (^y.y))) 6. ==[ alpha ]==> ((b b)(a (^x.x))) REDUCED to normal form. ------ 110228/10520904. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(a a))) REDUCED to normal form. ------ 110229/10520949. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 110230/10520958. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 110231/10520985. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(a (a a)))) REDUCED to normal form. ------ 110232/10521003. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 110233/10521066. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c c)) REDUCED to normal form. ------ 110234/10521084. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110235/10521192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.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. ------ 110236/10521201. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(b a)) REDUCED to normal form. ------ 110237/10521228. ------ 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. ------ 110238/10521255. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 110239/10521345. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 110240/10521372. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 110241/10521399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 110242/10521426. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a) a)) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a) a)) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 110243/10521453. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) b)) REDUCED to normal form. ------ 110244/10521507. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 110245/10521588. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 110246/10521615. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 110247/10521642. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 110248/10521732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110249/10521813. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 110250/10529583. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110251/10529757. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a))) c) 2. ==[ alpha ]==> (((^x.b)(^y.(a a))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 110252/10530033. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z) c)) 3. ==[ beta ]==> (^y.((^z.z) c)) 4. ==[ alpha ]==> (^x.((^y.y) c)) 5. ==[ beta ]==> (^x.c) REDUCED to normal form. ------ 110253/10530105. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ eta ]==> ((^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. ------ 110254/10530693. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 110255/10531053. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 110256/10531158. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((((a a)(^y.y))(a (a a)))(((a a)(^y.y))(a (a a))))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((((a a)(^x.x))(a (a a)))(((a a)(^y.y))(a (a a))))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 110257/10531491. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 110258/10532043. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 110259/10532058. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z) a)) 3. ==[ beta ]==> (^y.(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (^x.(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (^x.(a ((^z.z) a))) 6. ==[ alpha ]==> (^x.(a ((^y.y) a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 110260/10532265. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a (a a))((^z.z)(a a)))((a (a a))((^z.z)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((a (a a))((^y.y)(a a)))((a (a a))((^z.z)(a a))))) 5. ==[ beta ]==> (((a (a a))((^y.y)(a a)))((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(a a))((a (a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (((a (a a))(a a))((a (a a))((^x.x)(a a)))) 9. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 110261/10532655. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 110262/10532664. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 110263/10532940. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (b a))) 3. ==[ beta ]==> (((b (b a))(b (b a)))(^y.y)) 4. ==[ alpha ]==> (((b (b a))(b (b a)))(^x.x)) REDUCED to normal form. ------ 110264/10533258. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 110265/10534245. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 110266/10534533. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((b ((^x1.x1)(a a)))(^y.(^z.z))) 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. ------ 110267/10535004. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (b (^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 110268/10535013. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 110269/10535238. ------ 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)(y y)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 110270/10535625. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 110271/10535823. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) REDUCED to normal form. ------ 110272/10536012. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.b))) REDUCED to normal form. ------ 110273/10536345. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((y y) y))) REDUCED to normal form. ------ 110274/10536450. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a (^y.y))(a (a a)))((a (^y.y))(a (a a))))(((a (^y.y))(a (a a)))((a (^y.y))(a (a a))))) 4. ==[ alpha ]==> ((((a (^x.x))(a (a a)))((a (^y.y))(a (a a))))(((a (^z.z))(a (a a)))((a (^x1.x1))(a (a a))))) REDUCED to normal form. ------ 110275/10536624. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 110276/10536768. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 110277/10537119. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 110278/10537209. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.((^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)(^y.a)) REDUCED to normal form. ------ 110279/10537398. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 110280/10537530. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110281/10537533. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.c)) REDUCED to normal form. ------ 110282/10537623. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.y1)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.x2)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110283/10537704. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 110284/10537752. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (a ((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (a ((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 110285/10537833. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110286/10537860. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110287/10537887. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 110288/10537986. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.a))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.a)) c) REDUCED to normal form. ------ 110289/10538004. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 110290/10538031. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(a (a a)))) REDUCED to normal form. ------ 110291/10538058. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 110292/10538247. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (((a a) a)((a (^x.x)) b)) REDUCED to normal form. ------ 110293/10538274. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 110294/10538337. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y) b)(^z.(^x1.x1)))(((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 9. ==[ beta ]==> ((b (^x.(^y.y)))(b (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 110295/10538364. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 110296/10538418. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 110297/10538454. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 110298/10538472. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.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. ------ 110299/10538481. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) b) REDUCED to normal form. ------ 110300/10538535. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 110301/10538643. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((b b)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> ((b b)((a a)(a a))) REDUCED to normal form. ------ 110302/10538688. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110303/10538778. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 110304/10538805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 110305/10538832. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 110306/10538886. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 110307/10538940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 110308/10538976. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^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. ------ 110309/10539003. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 110310/10539030. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 110311/10539057. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 110312/10539084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 6. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 7. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 110313/10539111. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 110314/10539318. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 110315/10539363. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.z))) 7. ==[ beta ]==> ((a a)(((^y.y) b)(^z.z))) 8. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.y))) 9. ==[ beta ]==> ((a a)(b (^y.y))) 10. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 110316/10539372. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 110317/10539399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a (^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110318/10539444. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 110319/10539615. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110320/10539633. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110321/10539714. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1))) b)) IRREDUCIBLE: cycle. ------ 110322/10539777. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 110323/10539804. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 110324/10539831. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 110325/10539885. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110326/10539966. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110327/10539993. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 110328/10540011. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 110329/10540029. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 110330/10540056. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 110331/10540083. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 110332/10540110. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 110333/10540137. ------ 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 b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((a b)((^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. ------ 110334/10540164. ------ 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. ------ 110335/10540191. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(a b))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(a b))) 5. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 110336/10540218. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 110337/10540389. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 110338/10540398. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 110339/10540425. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 110340/10540443. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((a b)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 110341/10540452. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 110342/10540470. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 110343/10540479. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 110344/10540524. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(a a)))) 9. ==[ beta ]==> ((^y.y)((a (a a))(^z.(a a)))) 10. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 11. ==[ beta ]==> ((a (a a))(^y.(a a))) 12. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 110345/10540533. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 110346/10540560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.a)((a a)(^z.z)))((^y.a)((a a)(^z.z)))) 8. ==[ alpha ]==> (((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 9. ==[ beta ]==> (a ((^z.a)((a a)(^x1.x1)))) 10. ==[ alpha ]==> (a ((^x.a)((a a)(^y.y)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110347/10540587. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 110348/10540605. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 110349/10540614. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 110350/10540641. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 110351/10540830. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (b ((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110352/10540893. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (b a))) REDUCED to normal form. ------ 110353/10540929. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110354/10541208. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 110355/10541226. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((b a)(^x.x))) REDUCED to normal form. ------ 110356/10541262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110357/10541289. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 110358/10541307. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(^z.(z z)))) 3. ==[ beta ]==> (b ((a b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 110359/10541316. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 110360/10541370. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 110361/10541820. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a)) c)) 3. ==[ beta ]==> (b ((^z.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110362/10541991. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 110363/10542072. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 110364/10542090. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 110365/10542099. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 110366/10542126. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 110367/10542153. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 110368/10542198. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 110369/10542477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110370/10542486. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 110371/10542576. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b) c)) 5. ==[ beta ]==> ((a a)((^z.b) c)) 6. ==[ alpha ]==> ((a a)((^x.b) c)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 110372/10542765. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110373/10542774. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 110374/10542792. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 110375/10542801. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 110376/10542819. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 110377/10542873. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 110378/10542882. ------ 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 y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 10. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 110379/10542909. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((a a) a))) 5. ==[ beta ]==> ((^y.b)((^z.a)((a a) a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110380/10542954. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((a a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 110381/10542963. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 110382/10542990. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 110383/10543017. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 110384/10543071. ------ 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 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 110385/10543134. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c ((a a) a))) REDUCED to normal form. ------ 110386/10543161. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b (a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b (a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (a b))) REDUCED to normal form. ------ 110387/10543188. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 110388/10543215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(a a))) 5. ==[ beta ]==> ((a b)((a b)(a a))) REDUCED to normal form. ------ 110389/10543242. ------ 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. ------ 110390/10543269. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z) a))) 7. ==[ beta ]==> (((a b)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a b)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 110391/10543296. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 110392/10543323. ------ 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) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(^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. ------ 110393/10543368. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(b (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110394/10543377. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(a b))) REDUCED to normal form. ------ 110395/10543413. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 110396/10543440. ------ 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.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z1.(^x2.x2)))) 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. ------ 110397/10543575. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.b))) 3. ==[ beta ]==> (b ((a a)(^z.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 110398/10543692. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 110399/10543719. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 110400/10543746. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 110401/10543773. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.b)) REDUCED to normal form. ------ 110402/10543908. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 110403/10543935. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 110404/10543962. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.b))) REDUCED to normal form. ------ 110405/10544007. ------ 1. ==[ start ]==> (((^a.(^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.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110406/10544016. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 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. ------ 110407/10544043. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(((^z.z) a)((^z.z) a))) 6. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)((^z.z) a))) 7. ==[ beta ]==> ((b (^x.x))(a ((^z.z) a))) 8. ==[ alpha ]==> ((b (^x.x))(a ((^y.y) a))) 9. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 110408/10544241. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (a (a a)))) REDUCED to normal form. ------ 110409/10544268. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 110410/10544295. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 110411/10544349. ------ 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 (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 110412/10544376. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((b (a a))(a ((^y.y) a))) 6. ==[ alpha ]==> ((b (a a))(a ((^x.x) a))) 7. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 110413/10544403. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 110414/10544574. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 110415/10544718. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 110416/10544763. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)(a a))(b b)) REDUCED to normal form. ------ 110417/10544790. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a) c)) 3. ==[ beta ]==> ((^y.y)((^x1.a) c)) 4. ==[ alpha ]==> ((^x.x)((^y.a) c)) 5. ==[ beta ]==> ((^y.a) c) 6. ==[ alpha ]==> ((^x.a) c) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110418/10544799. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.a))) REDUCED to normal form. ------ 110419/10544826. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 110420/10544907. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 110421/10544925. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 110422/10544934. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 110423/10544988. ------ 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 x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 110424/10545042. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.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. ------ 110425/10545069. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 110426/10545132. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 110427/10545159. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a) a)) REDUCED to normal form. ------ 110428/10545213. ------ 1. ==[ start ]==> (((a (a a))(b a))(c b)) REDUCED to normal form. ------ 110429/10545240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b c)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b c)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b c)) 5. ==[ beta ]==> (((a a)(^y.y))(b c)) 6. ==[ alpha ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 110430/10545294. ------ 1. ==[ start ]==> (((a b)(a b))(c (a a))) REDUCED to normal form. ------ 110431/10545321. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a) a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (a (^x.x)))) REDUCED to normal form. ------ 110432/10545348. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 110433/10545402. ------ 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)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(a (^z.z)))) REDUCED to normal form. ------ 110434/10545429. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c a)) 3. ==[ beta ]==> ((b (a (^y.y)))(c a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(c a)) REDUCED to normal form. ------ 110435/10545456. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b b)) REDUCED to normal form. ------ 110436/10545483. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(a c)) REDUCED to normal form. ------ 110437/10545573. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110438/10545654. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110439/10545680. ------ 1. ==[ start ]==> (^a.((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (^x.((^y.(x x))(^z.b))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 110440/10545681. ------ 1. ==[ start ]==> (a ((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (a ((^x.(a a))(^y.b))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 110441/10547961. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1) b))(^z.((^x1.x1) b)))) 4. ==[ alpha ]==> (^x.((^y.((^z.z) b))(^x1.((^y1.y1) b)))) 5. ==[ beta ]==> (^x.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 110442/10551354. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110443/10553433. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110444/10553640. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((^y.(a a))(^z.b)) 4. ==[ alpha ]==> ((^x.(a a))(^y.b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110445/10553667. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^z.(a a)))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (b ((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110446/10553694. ------ 1. ==[ start ]==> ((^a.b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 110447/10553775. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^z.a)(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((^x.a)(^y.y))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 110448/10553841. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 110449/10553892. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (^x.(b (a (^z.z)))) 6. ==[ alpha ]==> (^x.(b (a (^y.y)))) REDUCED to normal form. ------ 110450/10554135. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 110451/10554552. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.(^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. ------ 110452/10554561. ------ 1. ==[ start ]==> (((a (a a))(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 110453/10554912. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 110454/10555530. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(b a))) 3. ==[ beta ]==> (((^y.a)(b a)) b) 4. ==[ alpha ]==> (((^x.a)(b a)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 110455/10555917. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a ((^z.z) b))) 3. ==[ beta ]==> (^y.((a ((^z.z) b))(a ((^z.z) b)))) 4. ==[ alpha ]==> (^x.((a ((^y.y) b))(a ((^z.z) b)))) 5. ==[ beta ]==> (^x.((a b)(a ((^z.z) b)))) 6. ==[ alpha ]==> (^x.((a b)(a ((^y.y) b)))) 7. ==[ beta ]==> (^x.((a b)(a b))) REDUCED to normal form. ------ 110456/10555920. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 110457/10556217. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(^y1.(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 110458/10556523. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 110459/10556838. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 110460/10557396. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(x a))) REDUCED to normal form. ------ 110461/10557555. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.a))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110462/10557918. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 110463/10558179. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 110464/10558392. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110465/10558872. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 110466/10559097. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 110467/10559310. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110468/10559313. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 110469/10560042. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((a a) a))) 3. ==[ beta ]==> ((a (b a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (b a))(^x.((a a) a))) REDUCED to normal form. ------ 110470/10560204. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.a))) REDUCED to normal form. ------ 110471/10560348. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110472/10560753. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(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)))) REDUCED to normal form. ------ 110473/10560978. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.d)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.d)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.d)) REDUCED to normal form. ------ 110474/10561095. ------ 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 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 110475/10561176. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^x.a)) REDUCED to normal form. ------ 110476/10561257. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 110477/10561338. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 110478/10561389. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110479/10561392. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 110480/10561563. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 110481/10561602. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110482/10561629. ------ 1. ==[ start ]==> ((a (a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 110483/10561656. ------ 1. ==[ start ]==> ((a b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 110484/10561710. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 110485/10561737. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 110486/10561773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(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. ------ 110487/10561800. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 110488/10561827. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 110489/10561854. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 110490/10561935. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 110491/10561962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 110492/10562016. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (a (((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 110493/10562043. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 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. ------ 110494/10562097. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.(x x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 110495/10562142. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 110496/10562187. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 110497/10562268. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a b)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 110498/10562295. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 110499/10562349. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(^z.b))) REDUCED to normal form. ------ 110500/10562376. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 110501/10562439. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a a)(a (a a)))((b a)(b a))) REDUCED to normal form. ------ 110502/10562466. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 110503/10562493. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 110504/10562511. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)(^y.(a a)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 110505/10562520. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 110506/10562844. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 110507/10563015. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 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. ------ 110508/10563069. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a) a)(a b))) 5. ==[ beta ]==> (a (((a a) a)(a b))) REDUCED to normal form. ------ 110509/10563150. ------ 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))) 5. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 110510/10563177. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(a (^z1.(^x2.x2))))) 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. ------ 110511/10563240. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 110512/10563267. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110513/10563294. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 110514/10563357. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 110515/10563384. ------ 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. ------ 110516/10563438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 110517/10563465. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 110518/10563492. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(b a))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 110519/10563852. ------ 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. ------ 110520/10563879. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(a a)))(a b)) REDUCED to normal form. ------ 110521/10564095. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110522/10564122. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 110523/10564176. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((a a)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 110524/10564266. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 110525/10564293. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 110526/10564320. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 110527/10564347. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)(^z.a))) REDUCED to normal form. ------ 110528/10564401. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 110529/10564482. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 110530/10564509. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 110531/10564572. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 110532/10564599. ------ 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 z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 110533/10564626. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 110534/10564680. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 110535/10564707. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 110536/10564734. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 110537/10564797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 110538/10564932. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((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. ------ 110539/10565013. ------ 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. ------ 110540/10565040. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 110541/10565130. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110542/10565157. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(^y.a))) REDUCED to normal form. ------ 110543/10565184. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 110544/10565211. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 110545/10565274. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a b)(a b))) REDUCED to normal form. ------ 110546/10565301. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 110547/10565328. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 110548/10565355. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(b a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(b a)) REDUCED to normal form. ------ 110549/10565436. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 110550/10565463. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 110551/10565517. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 110552/10565607. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(b ((a a)(^z.z)))) 5. ==[ beta ]==> (b (b ((a a)(^z.z)))) 6. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 110553/10565688. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(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. ------ 110554/10565796. ------ 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. ------ 110555/10565823. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a b))) 5. ==[ beta ]==> (((^y.y) a)(a b)) 6. ==[ alpha ]==> (((^x.x) a)(a b)) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 110556/10565877. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))((a a)((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 110557/10565940. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 110558/10565967. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 110559/10565994. ------ 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 z)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 110560/10566021. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 110561/10566084. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 110562/10566111. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 110563/10566138. ------ 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. ------ 110564/10566165. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 110565/10566192. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 110566/10566219. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 110567/10566246. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 110568/10566273. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 110569/10566354. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 110570/10566363. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110571/10566444. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((a b)(a (^x.x)))) REDUCED to normal form. ------ 110572/10566525. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 110573/10566642. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.z))) REDUCED to normal form. ------ 110574/10566669. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 110575/10566750. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 110576/10566777. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110577/10566831. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 110578/10566858. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 110579/10566885. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b) b)) REDUCED to normal form. ------ 110580/10566975. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 110581/10567002. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 110582/10567029. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 110583/10567056. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 110584/10567245. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.b))) REDUCED to normal form. ------ 110585/10567272. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(a a)))) 3. ==[ beta ]==> ((a b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 110586/10567605. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (c (^y.y))) 8. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 110587/10567632. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 110588/10567686. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 110589/10567722. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110590/10567767. ------ 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. ------ 110591/10567884. ------ 1. ==[ start ]==> (((a (^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.(^y2.y2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.z1))) REDUCED to normal form. ------ 110592/10567911. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 110593/10567947. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 110594/10567974. ------ 1. ==[ start ]==> (((a (^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))((^z1.z1)(^x2.x2)))) 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. ------ 110595/10568001. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((a (b a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 110596/10568055. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 110597/10568082. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 110598/10568109. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 110599/10568136. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 110600/10568307. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 110601/10568550. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110602/10568613. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 110603/10568631. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 110604/10568658. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 110605/10568667. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 110606/10568712. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((a a)(a (a a)))) REDUCED to normal form. ------ 110607/10568775. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 110608/10568793. ------ 1. ==[ start ]==> (((^a.b)(a b))(c c)) 2. ==[ alpha ]==> (((^x.b)(a b))(c c)) 3. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 110609/10568802. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 110610/10568856. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 110611/10568910. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1)) c)) REDUCED to normal form. ------ 110612/10568964. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a a)) REDUCED to normal form. ------ 110613/10569027. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.a))) REDUCED to normal form. ------ 110614/10569054. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(z z)))) REDUCED to normal form. ------ 110615/10569081. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(a a))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 110616/10569108. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 110617/10569135. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 7. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 110618/10569162. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 110619/10569189. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 110620/10569216. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 110621/10569270. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 110622/10569297. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 110623/10569324. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 110624/10569351. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 110625/10569441. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110626/10569522. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 110627/10571838. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110628/10577310. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110629/10577535. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110630/10577736. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 110631/10578120. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(^y.y))((((a a)(a a))(^y.y))(((a a)(a a))(^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((((a a)(a a))(^y.y))(((a a)(a a))(^z.z)))) REDUCED to normal form. ------ 110632/10578345. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110633/10578471. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110634/10579803. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110635/10579806. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 110636/10580724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 110637/10581003. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(b a))) 3. ==[ beta ]==> ((a (^y.b))(^z.(b a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(b a))) REDUCED to normal form. ------ 110638/10581021. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 110639/10581813. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 110640/10581990. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 110641/10582881. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110642/10583208. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 110643/10583928. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.a))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.a))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 110644/10584540. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 110645/10584891. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 110646/10585224. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.c)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.c)) REDUCED to normal form. ------ 110647/10585275. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110648/10585278. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 110649/10585449. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110650/10585506. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 110651/10585533. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110652/10585641. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110653/10585650. ------ 1. ==[ start ]==> (((a a) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)(c ((^x.x) b))) 3. ==[ beta ]==> (((a a) b)(c b)) REDUCED to normal form. ------ 110654/10585677. ------ 1. ==[ start ]==> (((a (^a.a)) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 110655/10585704. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 110656/10585731. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a))(a a))) REDUCED to normal form. ------ 110657/10585767. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y) c)) 3. ==[ beta ]==> (((a a)(a (^x.x))) c) REDUCED to normal form. ------ 110658/10585785. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 110659/10585866. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)((a a) a))) REDUCED to normal form. ------ 110660/10585893. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a b)(a b))) 3. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 110661/10585920. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 110662/10585947. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 110663/10585974. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 110664/10586091. ------ 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. ------ 110665/10586127. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^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. ------ 110666/10586235. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110667/10586316. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110668/10586361. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 110669/10586388. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 110670/10586442. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 110671/10586451. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110672/10586478. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110673/10586586. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110674/10586613. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.b))) 5. ==[ beta ]==> ((^y.b)(^z.b)) 6. ==[ alpha ]==> ((^x.b)(^y.b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110675/10586667. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 110676/10586820. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b) 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. ------ 110677/10587000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 9. ==[ beta ]==> (b ((^y.y)(a a))) 10. ==[ alpha ]==> (b ((^x.x)(a a))) 11. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110678/10587027. ------ 1. ==[ start ]==> ((((a a) a) a)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 110679/10587081. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 110680/10587108. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a a)((^z.z) b))) 3. ==[ beta ]==> ((a (^y.(y y)))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y) b))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a) b)) REDUCED to normal form. ------ 110681/10587225. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a) a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 110682/10587252. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 110683/10587279. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((a b)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 110684/10587306. ------ 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. ------ 110685/10587333. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 110686/10587396. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.b)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110687/10587477. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(^x1.x1))) IRREDUCIBLE: cycle. ------ 110688/10587558. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110689/10587585. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 110690/10587612. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110691/10587666. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 110692/10587747. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 110693/10587756. ------ 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. ------ 110694/10587774. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 110695/10587792. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(a b))((^x.x) a)) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 110696/10587819. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.(^x1.x1))) b)) 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. ------ 110697/10587945. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 110698/10588071. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 110699/10588206. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110700/10588233. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110701/10588287. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110702/10588368. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110703/10588440. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a) b)) 3. ==[ beta ]==> (((a a)(a a))((b a) b)) REDUCED to normal form. ------ 110704/10588467. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 110705/10588692. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 110706/10588836. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) c)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.x))) REDUCED to normal form. ------ 110707/10588863. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a a) b)((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)((a a) a))) 7. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 110708/10588890. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(a b))) REDUCED to normal form. ------ 110709/10588944. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 110710/10588971. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(b a))) 3. ==[ beta ]==> ((a (^y.b))((a a)(b a))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(b a))) REDUCED to normal form. ------ 110711/10588989. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 110712/10589070. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110713/10589169. ------ 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. ------ 110714/10589196. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(a a)))) REDUCED to normal form. ------ 110715/10589223. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 110716/10589277. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a) a)) 7. ==[ beta ]==> ((^y.y)((b a) a)) 8. ==[ alpha ]==> ((^x.x)((b a) a)) 9. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 110717/10589304. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 110718/10589331. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a)) c)) 5. ==[ beta ]==> (((a b) a)((a a) c)) REDUCED to normal form. ------ 110719/10589502. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110720/10589646. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 110721/10589754. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a (^y.y))(a a))) REDUCED to normal form. ------ 110722/10589772. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 110723/10589781. ------ 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. ------ 110724/10589853. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 110725/10589961. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 110726/10589979. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a a)(b a))(a (^y.b))) 4. ==[ alpha ]==> (((a a)(b a))(a (^x.b))) REDUCED to normal form. ------ 110727/10590006. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 110728/10590060. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 110729/10590087. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 110730/10590114. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a b) c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b) c)) REDUCED to normal form. ------ 110731/10590258. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110732/10590555. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 110733/10590582. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110734/10590636. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 110735/10590717. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110736/10590852. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 110737/10590978. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) a)) 5. ==[ beta ]==> ((a b)((^y.(a a)) a)) 6. ==[ alpha ]==> ((a b)((^x.(a a)) a)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 110738/10591005. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 110739/10591032. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) c)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 110740/10591131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110741/10591176. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 110742/10591203. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110743/10591338. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110744/10591446. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110745/10591500. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110746/10591509. ------ 1. ==[ start ]==> (((a a)(^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(c (^y.y))) REDUCED to normal form. ------ 110747/10591536. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b ((a a) a))) REDUCED to normal form. ------ 110748/10591617. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 110749/10591644. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (a a)) a)) REDUCED to normal form. ------ 110750/10591671. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (a (a a)))) REDUCED to normal form. ------ 110751/10591698. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 110752/10591725. ------ 1. ==[ start ]==> ((((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) a))) REDUCED to normal form. ------ 110753/10591842. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(x x)))) REDUCED to normal form. ------ 110754/10591869. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 110755/10591896. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(^y.a))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.a))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.a))) REDUCED to normal form. ------ 110756/10591923. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 110757/10591950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z)) b)) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y)) b)) 9. ==[ beta ]==> ((a a)((^y.y) b)) 10. ==[ alpha ]==> ((a a)((^x.x) b)) 11. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 110758/10591977. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a)) c)) REDUCED to normal form. ------ 110759/10592112. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1)) b)) 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. ------ 110760/10592139. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y)) c)) 3. ==[ beta ]==> ((b (a a))((^y.(y y)) c)) 4. ==[ alpha ]==> ((b (a a))((^x.(x x)) c)) 5. ==[ beta ]==> ((b (a a))(c c)) REDUCED to normal form. ------ 110761/10592202. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 110762/10592337. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110763/10592445. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 110764/10592481. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (a (a a)))) 3. ==[ beta ]==> ((b b)(b (a (a a)))) REDUCED to normal form. ------ 110765/10592508. ------ 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. ------ 110766/10592562. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 110767/10592589. ------ 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.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 110768/10592607. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.(y y)))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.(x x)))) REDUCED to normal form. ------ 110769/10592688. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110770/10592697. ------ 1. ==[ start ]==> (((a b)(^a.b))(c c)) 2. ==[ alpha ]==> (((a b)(^x.b))(c c)) REDUCED to normal form. ------ 110771/10592796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110772/10592805. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (a (^x1.x1)))) REDUCED to normal form. ------ 110773/10592832. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 110774/10592859. ------ 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. ------ 110775/10592895. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a) b)) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 110776/10592922. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z)) c)) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 110777/10592976. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 110778/10593003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 110779/10593030. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.a))) REDUCED to normal form. ------ 110780/10593057. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) a)) 3. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 110781/10593084. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y)) b)) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y)) b)) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x)) b)) REDUCED to normal form. ------ 110782/10593165. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 110783/10593192. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) c)) 5. ==[ beta ]==> ((b (a (^x.x))) c) REDUCED to normal form. ------ 110784/10593219. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 110785/10593246. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 110786/10593336. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110787/10593417. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110788/10599135. ------ 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. ------ 110789/10601691. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.((^z.(a a)) b)) 4. ==[ alpha ]==> (^x.((^y.(a a)) b)) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 110790/10601763. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b a)(a (a a)))) 3. ==[ eta ]==> ((^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. ------ 110791/10602258. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110792/10602738. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 110793/10602816. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)((^y.y) a))) 3. ==[ beta ]==> ((((b a)((^y.y) a))((b a)((^y.y) a)))((b a)((^y.y) a))) 4. ==[ alpha ]==> ((((b a)((^x.x) a))((b a)((^y.y) a)))((b a)((^z.z) a))) 5. ==[ beta ]==> ((((b a) a)((b a)((^y.y) a)))((b a)((^z.z) a))) 6. ==[ alpha ]==> ((((b a) a)((b a)((^x.x) a)))((b a)((^y.y) a))) 7. ==[ beta ]==> ((((b a) a)((b a) a))((b a)((^y.y) a))) 8. ==[ alpha ]==> ((((b a) a)((b a) a))((b a)((^x.x) a))) 9. ==[ beta ]==> ((((b a) a)((b a) a))((b a) a)) REDUCED to normal form. ------ 110794/10603080. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 110795/10603149. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)(^z.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 110796/10603737. ------ 1. ==[ start ]==> (((a a)(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 110797/10603923. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(a b))(((^z.z)(^x1.x1))(a b)))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(a b))(((^x1.x1)(^y1.y1))(a b)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(a b))(((^x1.x1)(^y1.y1))(a b))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b))) 7. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a b))) 8. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a b))) 9. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 10. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 11. ==[ beta ]==> ((a b)((^y.y)(a b))) 12. ==[ alpha ]==> ((a b)((^x.x)(a b))) 13. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 110798/10604349. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 110799/10606698. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 110800/10606923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(y y)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(x x)))) 7. ==[ beta ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 110801/10607109. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110802/10607112. ------ 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))) REDUCED to normal form. ------ 110803/10608108. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((((^y.y) a)((^z.z) a))(((^y.y) a)((^z.z) a)))((((^y.y) a)((^z.z) a))(((^y.y) a)((^z.z) a)))) 4. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a)))((((^y1.y1) a)((^z1.z1) a))(((^x2.x2) a)((^y2.y2) a)))) 5. ==[ beta ]==> (((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))((((^y1.y1) a)((^z1.z1) a))(((^x2.x2) a)((^y2.y2) a)))) 6. ==[ alpha ]==> (((a ((^x.x) a))(((^y.y) a)((^z.z) a)))((((^x1.x1) a)((^y1.y1) a))(((^z1.z1) a)((^x2.x2) a)))) 7. ==[ beta ]==> (((a a)(((^y.y) a)((^z.z) a)))((((^x1.x1) a)((^y1.y1) a))(((^z1.z1) a)((^x2.x2) a)))) 8. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))((((^z.z) a)((^x1.x1) a))(((^y1.y1) a)((^z1.z1) a)))) 9. ==[ beta ]==> (((a a)(a ((^y.y) a)))((((^z.z) a)((^x1.x1) a))(((^y1.y1) a)((^z1.z1) a)))) 10. ==[ alpha ]==> (((a a)(a ((^x.x) a)))((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 11. ==[ beta ]==> (((a a)(a a))((((^y.y) a)((^z.z) a))(((^x1.x1) a)((^y1.y1) a)))) 12. ==[ alpha ]==> (((a a)(a a))((((^x.x) a)((^y.y) a))(((^z.z) a)((^x1.x1) a)))) 13. ==[ beta ]==> (((a a)(a a))((a ((^y.y) a))(((^z.z) a)((^x1.x1) a)))) 14. ==[ alpha ]==> (((a a)(a a))((a ((^x.x) a))(((^y.y) a)((^z.z) a)))) 15. ==[ beta ]==> (((a a)(a a))((a a)(((^y.y) a)((^z.z) a)))) 16. ==[ alpha ]==> (((a a)(a a))((a a)(((^x.x) a)((^y.y) a)))) 17. ==[ beta ]==> (((a a)(a a))((a a)(a ((^y.y) a)))) 18. ==[ alpha ]==> (((a a)(a a))((a a)(a ((^x.x) a)))) 19. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 110804/10608453. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 110805/10608696. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 110806/10608804. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 110807/10609137. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 110808/10609188. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110809/10609362. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 110810/10609437. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.b))) 3. ==[ beta ]==> (a ((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (a ((^x.(a a))(^y.b))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 110811/10609464. ------ 1. ==[ start ]==> (((a a) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 110812/10609545. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 110813/10609572. ------ 1. ==[ start ]==> (((a a) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 110814/10609671. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 110815/10609689. ------ 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 (^x.x)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 110816/10609716. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 110817/10609743. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((b a)(a (a a)))) 3. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 110818/10609932. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 110819/10609959. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 110820/10609986. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 110821/10610022. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(^y.y))) 5. ==[ beta ]==> ((((a a)(a a))(^y.y))(((a a)(a a))(^y.y))) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 110822/10610049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^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. ------ 110823/10610085. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 110824/10610103. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 110825/10610130. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 110826/10610166. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 110827/10610193. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 110828/10610211. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 110829/10610238. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 110830/10610328. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z) b))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 110831/10610373. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110832/10610400. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110833/10610517. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 110834/10610544. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 110835/10610571. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 110836/10610598. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110837/10610688. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b b)) REDUCED to normal form. ------ 110838/10610715. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 110839/10610742. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (a a))) REDUCED to normal form. ------ 110840/10610769. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 110841/10610796. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)((^x.x) a))) 3. ==[ beta ]==> ((a ((a a) a))((b a) a)) REDUCED to normal form. ------ 110842/10611003. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 110843/10611030. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.(y y)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 110844/10611057. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 110845/10611084. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110846/10611111. ------ 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)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 110847/10611129. ------ 1. ==[ start ]==> ((a (^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((b a)(^y.a))) REDUCED to normal form. ------ 110848/10611300. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 110849/10611399. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b) a)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b) a)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b) a)) IRREDUCIBLE: cycle. ------ 110850/10611489. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 110851/10611516. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 110852/10611570. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 110853/10611597. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 110854/10611624. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 110855/10611678. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 110856/10611714. ------ 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. ------ 110857/10611741. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 110858/10611768. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 110859/10611795. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 110860/10611822. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(a (a a)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(a (a a)))) 9. ==[ beta ]==> (a ((a a)(a (a a)))) REDUCED to normal form. ------ 110861/10611849. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 110862/10611876. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 110863/10611903. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 7. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 110864/10612074. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 110865/10612128. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 110866/10612137. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 110867/10612155. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 110868/10612164. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 110869/10612209. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(^z1.b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.b))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 11. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 13. ==[ beta ]==> ((^y.y)(^z.b)) 14. ==[ alpha ]==> ((^x.x)(^y.b)) 15. ==[ beta ]==> (^y.b) 16. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 110870/10612218. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110871/10612245. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(z z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(y y))((^z.z)(a a)))) 7. ==[ beta ]==> (((^y.(y y))((^z.z)(a a)))((^y.(y y))((^z.z)(a a)))) 8. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 10. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 11. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a)))) 12. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 13. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 14. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 15. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 16. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 17. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 18. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 19. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 110872/10612272. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 110873/10612299. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110874/10612326. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 110875/10612515. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110876/10612866. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 110877/10612992. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.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. ------ 110878/10613001. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 110879/10613028. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 110880/10613505. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) b)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110881/10613676. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c (^y.(a a)))) REDUCED to normal form. ------ 110882/10613703. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 110883/10613757. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110884/10613775. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 110885/10613784. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 110886/10613811. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 110887/10614162. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110888/10614261. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a a)((^z.(a a)) b)) 6. ==[ alpha ]==> ((a a)((^x.(a a)) b)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110889/10614477. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 110890/10614486. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 110891/10614504. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 110892/10614558. ------ 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 y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.(z z)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(z z)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(y y)))) 11. ==[ beta ]==> (((a a)(a a))(^y.(y y))) 12. ==[ alpha ]==> (((a a)(a a))(^x.(x x))) REDUCED to normal form. ------ 110893/10614567. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 110894/10614594. ------ 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 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 110895/10614639. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 110896/10614648. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110897/10614675. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 110898/10614702. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 110899/10614873. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (a b))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a b))) REDUCED to normal form. ------ 110900/10614900. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 110901/10614927. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(a a))) REDUCED to normal form. ------ 110902/10614954. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 110903/10614981. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a (a a)))((^y.y) a)) 8. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) a)) 9. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 110904/10615008. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 110905/10615053. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110906/10615062. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 110907/10615089. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(a b))) 3. ==[ beta ]==> ((a b)((a a)(a b))) REDUCED to normal form. ------ 110908/10615125. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 110909/10615260. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 110910/10615377. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 110911/10615404. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b a)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 110912/10615431. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 110913/10615503. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 110914/10615593. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.(y y)))) REDUCED to normal form. ------ 110915/10615620. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.(^x1.x1)))) REDUCED to normal form. ------ 110916/10615647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.a))) REDUCED to normal form. ------ 110917/10615692. ------ 1. ==[ start ]==> (((^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.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. ------ 110918/10615728. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 110919/10615980. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (^y.y))) REDUCED to normal form. ------ 110920/10616034. ------ 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)(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 110921/10616061. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((b (a a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 110922/10616088. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) 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. ------ 110923/10616259. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 110924/10616367. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110925/10616403. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 110926/10616430. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(^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. ------ 110927/10616448. ------ 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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 110928/10616475. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) b)) 5. ==[ beta ]==> ((^y.(y y)) b) 6. ==[ alpha ]==> ((^x.(x x)) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 110929/10616592. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 110930/10616610. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 110931/10616619. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 110932/10616673. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a a))) REDUCED to normal form. ------ 110933/10616718. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110934/10616727. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 110935/10616754. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 110936/10616781. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.(z z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(y y))) REDUCED to normal form. ------ 110937/10616817. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 110938/10616844. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 110939/10616871. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 110940/10616952. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b c)) 3. ==[ beta ]==> ((((a a) a)(a a))(b c)) REDUCED to normal form. ------ 110941/10617033. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a (^z.z)))) REDUCED to normal form. ------ 110942/10617087. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a a))) REDUCED to normal form. ------ 110943/10617114. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 110944/10617168. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(b b)) REDUCED to normal form. ------ 110945/10617258. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110946/10617339. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 110947/10618341. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110948/10625406. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^z.b))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.b))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 110949/10625433. ------ 1. ==[ start ]==> ((^a.b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 110950/10625514. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^z.(z z))(^x1.(^y1.(^z1.z1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 7. ==[ beta ]==> ((^y.(^z.z))(^x2.x2)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110951/10625607. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 110952/10625631. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a))(a a))) 3. ==[ beta ]==> (^y.(((a a)(a a))(a a))) 4. ==[ alpha ]==> (^x.(((a a)(a a))(a a))) REDUCED to normal form. ------ 110953/10625874. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (a a))(b a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 110954/10626324. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110955/10626327. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 110956/10626678. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 110957/10627269. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))((a a)(^z.z))) b) 4. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y))) b) 5. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y))) b) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 110958/10627656. ------ 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. ------ 110959/10627677. ------ 1. ==[ start ]==> (((a a)(a b))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 110960/10628538. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.a)(^x1.(^y1.y1)))((^z.a)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((a a)(^x1.x1)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 110961/10629162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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)) REDUCED to normal form. ------ 110962/10629294. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 110963/10629945. ------ 1. ==[ start ]==> (((a (a a))(a b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 110964/10630131. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^x1.a)(^y1.b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> (a (^z.(^x1.x1))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 110965/10630863. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 110966/10631049. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 110967/10631061. ------ 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)) REDUCED to normal form. ------ 110968/10631466. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(z b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(z b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 110969/10631808. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.((a a) a))) REDUCED to normal form. ------ 110970/10632411. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 110971/10632636. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 110972/10632861. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 110973/10632942. ------ 1. ==[ start ]==> (((a b)(a b))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 110974/10633104. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.x))) REDUCED to normal form. ------ 110975/10633128. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 110976/10633221. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(x2 (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(x2 (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 110977/10633302. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 110978/10633395. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 110979/10633422. ------ 1. ==[ start ]==> ((a b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 110980/10633503. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 110981/10633566. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 110982/10633593. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 110983/10633620. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 110984/10633656. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z) c)) 3. ==[ beta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 110985/10633701. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.a)((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.a)((b a)(a (a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 110986/10633728. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 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. ------ 110987/10633782. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(a b))) 3. ==[ beta ]==> (((^y.y) a)((a b)(a b))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(a b))) 5. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 110988/10633809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 110989/10633863. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))(b a))) REDUCED to normal form. ------ 110990/10633935. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 110991/10634034. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 110992/10634061. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 110993/10634088. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 110994/10634115. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.a))) REDUCED to normal form. ------ 110995/10634142. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 110996/10634169. ------ 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. ------ 110997/10634205. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 110998/10634232. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(z z))(b a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(b a))) 5. ==[ beta ]==> (((a (^x.x)) a)((b a)(b a))) REDUCED to normal form. ------ 110999/10634259. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 111000/10634277. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 111001/10634286. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 111002/10634313. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111003/10634610. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 111004/10634637. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 111005/10634781. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(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. ------ 111006/10634835. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a b)((a a) a))) 5. ==[ beta ]==> (a ((a b)((a a) a))) REDUCED to normal form. ------ 111007/10634916. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) a)((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 111008/10634943. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) 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. ------ 111009/10634997. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a a)((^z.z) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a a)((^z.z) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a a)((^z.z) b))) 5. ==[ beta ]==> ((a ((^y.y) a))((a a)((^z.z) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a a)((^y.y) b))) 7. ==[ beta ]==> ((a a)((a a)((^y.y) b))) 8. ==[ alpha ]==> ((a a)((a a)((^x.x) b))) 9. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 111010/10635033. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b)(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111011/10635060. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 111012/10635150. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 111013/10635177. ------ 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. ------ 111014/10635231. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 111015/10635249. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 111016/10635258. ------ 1. ==[ start ]==> ((a (a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 111017/10635411. ------ 1. ==[ start ]==> ((((a a) a) b)((b a) c)) REDUCED to normal form. ------ 111018/10635618. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 111019/10635645. ------ 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. ------ 111020/10635663. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 111021/10635861. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111022/10635888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 111023/10635942. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(b a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 7. ==[ beta ]==> ((a (^y.y))(b a)) 8. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 111024/10636032. ------ 1. ==[ start ]==> (((a b) b)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 111025/10636059. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 111026/10636086. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 111027/10636113. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 111028/10636167. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 111029/10636194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))(^z.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(a a)))) 7. ==[ beta ]==> (((a (a a))(^y.(a a)))((a (a a))(^y.(a a)))) 8. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 111030/10636221. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 111031/10636275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 111032/10636311. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 111033/10636392. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 111034/10636419. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 111035/10636473. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 111036/10636500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 111037/10636527. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 111038/10636563. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 111039/10636698. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 111040/10636779. ------ 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. ------ 111041/10636806. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 7. ==[ beta ]==> (a ((^y.y)(a a))) 8. ==[ alpha ]==> (a ((^x.x)(a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 111042/10636860. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(b a))) REDUCED to normal form. ------ 111043/10636896. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111044/10636923. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 111045/10636950. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 111046/10636977. ------ 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 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(z z)))) REDUCED to normal form. ------ 111047/10637004. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 111048/10637040. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 111049/10637067. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a b)(a b))) REDUCED to normal form. ------ 111050/10637094. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 111051/10637121. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 111052/10637148. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(b a))) 7. ==[ beta ]==> ((^y.y)((^z.z)(b a))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 9. ==[ beta ]==> ((^y.y)(b a)) 10. ==[ alpha ]==> ((^x.x)(b a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111053/10637202. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 111054/10637229. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 111055/10637256. ------ 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 z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 111056/10637283. ------ 1. ==[ start ]==> ((a (b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 111057/10637373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c ((^z.z)(a a)))) 5. ==[ beta ]==> (b (c ((^z.z)(a a)))) 6. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 7. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 111058/10637454. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 111059/10637562. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((b a)((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((b a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((b a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 111060/10637589. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))((a 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. ------ 111061/10637643. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 111062/10637706. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 111063/10637733. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 111064/10637760. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 111065/10637787. ------ 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 x1)))) REDUCED to normal form. ------ 111066/10637850. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a a)(b a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 111067/10637877. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 111068/10637904. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 111069/10637931. ------ 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. ------ 111070/10637985. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 111071/10638012. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 111072/10638066. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 111073/10638120. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 111074/10638210. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 111075/10638291. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 111076/10638399. ------ 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)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111077/10638435. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 111078/10638516. ------ 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 x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(z z))) 6. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 111079/10638543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a (a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 111080/10638597. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 111081/10638624. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 111082/10638651. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) a)) REDUCED to normal form. ------ 111083/10638741. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 111084/10638768. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 111085/10638795. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 111086/10638822. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 111087/10638849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 111088/10639038. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.b))) 3. ==[ beta ]==> ((a b)(b (^y.b))) 4. ==[ alpha ]==> ((a b)(b (^x.b))) REDUCED to normal form. ------ 111089/10639047. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 111090/10639326. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1) c)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) c)) 5. ==[ beta ]==> (((a (^x.(^y.y))) b) c) REDUCED to normal form. ------ 111091/10639452. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a b))) REDUCED to normal form. ------ 111092/10639488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.a) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111093/10639515. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 111094/10639533. ------ 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. ------ 111095/10639542. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y)) d)) 3. ==[ beta ]==> (((a b)(^x.a))(d d)) REDUCED to normal form. ------ 111096/10639650. ------ 1. ==[ start ]==> (((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.y1))) REDUCED to normal form. ------ 111097/10639677. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 111098/10639713. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) b)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> (((a a) b)(a ((^y.y) a))) 8. ==[ alpha ]==> (((a a) b)(a ((^x.x) a))) 9. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 111099/10639740. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 111100/10639767. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 111101/10639794. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 111102/10639848. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 111103/10639875. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.a))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.a)(^y.a))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 111104/10639902. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 111105/10639929. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 111106/10640073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 111107/10640208. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c d)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 111108/10640397. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 111109/10640424. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((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. ------ 111110/10640433. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 111111/10640460. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a) c)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a) c)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 111112/10640478. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 111113/10640541. ------ 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. ------ 111114/10640568. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 111115/10640622. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 111116/10640676. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a b)) REDUCED to normal form. ------ 111117/10640703. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z)) c)) REDUCED to normal form. ------ 111118/10640793. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.(^z.z)))) REDUCED to normal form. ------ 111119/10640820. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.a))) REDUCED to normal form. ------ 111120/10640847. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(x x)))) REDUCED to normal form. ------ 111121/10640874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 111122/10640901. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 111123/10640928. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 111124/10640955. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 111125/10640982. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 111126/10641063. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 111127/10641090. ------ 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. ------ 111128/10641117. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 111129/10641207. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111130/10641288. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 111131/10649583. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 111132/10650165. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111133/10650303. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111134/10650987. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^y.b)) REDUCED to normal form. ------ 111135/10651056. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 111136/10651236. ------ 1. ==[ start ]==> ((^a.(a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.z))) b) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 111137/10651329. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(x x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) 5. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.z)) 6. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.z)) IRREDUCIBLE: cycle. ------ 111138/10651623. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2)))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3)))))) 5. ==[ beta ]==> (^x.((^z.z)((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3)))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2)))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111139/10653810. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111140/10653912. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 111141/10654701. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111142/10655055. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 111143/10655433. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 111144/10655622. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111145/10656378. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 111146/10656909. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 111147/10657071. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.c)) REDUCED to normal form. ------ 111148/10657095. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111149/10657188. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111150/10657269. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 111151/10657380. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111152/10657407. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 111153/10657488. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111154/10657515. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 111155/10657551. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 111156/10657578. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (b (^z.z)))) REDUCED to normal form. ------ 111157/10657632. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 111158/10657641. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x))(a a)) c) REDUCED to normal form. ------ 111159/10657713. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 111160/10657740. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 111161/10657767. ------ 1. ==[ start ]==> (((a a)(^b.a))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.a))((a b)(a b))) REDUCED to normal form. ------ 111162/10657794. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a a))) REDUCED to normal form. ------ 111163/10657821. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 111164/10657929. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 111165/10657974. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111166/10658028. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111167/10658136. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.b)(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(a b))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 111168/10658163. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 111169/10658235. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 111170/10658262. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 111171/10658298. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111172/10658379. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111173/10658460. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111174/10658694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) b)) 5. ==[ beta ]==> ((a a)((^y.y) b)) 6. ==[ alpha ]==> ((a a)((^x.x) b)) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 111175/10658847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a b))) 5. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 111176/10658874. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(a a))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a a))) 7. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 111177/10658928. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (b a))) REDUCED to normal form. ------ 111178/10658955. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 111179/10658973. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b (^z.z))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b (^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b (^z.z))) 5. ==[ beta ]==> ((a ((^y.y) a))(b (^z.z))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b (^y.y))) 7. ==[ beta ]==> ((a a)(b (^y.y))) 8. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 111180/10658982. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))((a a) b)) REDUCED to normal form. ------ 111181/10659054. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 111182/10659072. ------ 1. ==[ start ]==> (((a a)((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((b a)(^x.a))) REDUCED to normal form. ------ 111183/10659099. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 111184/10659126. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 111185/10659153. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((a b)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((a b)(^x.a))) REDUCED to normal form. ------ 111186/10659180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 111187/10659207. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(a a))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a a))) REDUCED to normal form. ------ 111188/10659234. ------ 1. ==[ start ]==> ((a (a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 111189/10659243. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111190/10659324. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)((^x1.x1) b))) IRREDUCIBLE: cycle. ------ 111191/10659432. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 111192/10659459. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111193/10659603. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (b a))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (b a))) REDUCED to normal form. ------ 111194/10659621. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 111195/10659666. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 111196/10659693. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111197/10659792. ------ 1. ==[ start ]==> (((^a.b) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 111198/10659918. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (^y1.a))) 5. ==[ beta ]==> ((^y.y)(c (^y1.a))) 6. ==[ alpha ]==> ((^x.x)(c (^y.a))) 7. ==[ beta ]==> (c (^y.a)) 8. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 111199/10659999. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(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. ------ 111200/10660080. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a 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. ------ 111201/10660215. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111202/10660287. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 111203/10660314. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a) b)) REDUCED to normal form. ------ 111204/10660683. ------ 1. ==[ start ]==> (((a b) c)((a b)(a (a a)))) REDUCED to normal form. ------ 111205/10660710. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 111206/10660737. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 111207/10660791. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (a a))) REDUCED to normal form. ------ 111208/10660818. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 111209/10660917. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111210/10661043. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.b))) REDUCED to normal form. ------ 111211/10661070. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((a (a b))(a (^y.(a a)))) 6. ==[ alpha ]==> ((a (a b))(a (^x.(a a)))) REDUCED to normal form. ------ 111212/10661151. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a) a)) REDUCED to normal form. ------ 111213/10661178. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 111214/10661349. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111215/10661493. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a b) a)) REDUCED to normal form. ------ 111216/10661601. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (a b))) REDUCED to normal form. ------ 111217/10661619. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c (^y.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(c (^y.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(c (^x.(a a)))) REDUCED to normal form. ------ 111218/10661628. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 111219/10661700. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111220/10661808. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 111221/10661826. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 111222/10661853. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 111223/10661880. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 111224/10661907. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 111225/10661934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 111226/10661961. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a)) b)) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a) b)) REDUCED to normal form. ------ 111227/10661988. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b) c)) REDUCED to normal form. ------ 111228/10662105. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111229/10662375. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111230/10662384. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 111231/10662429. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111232/10662564. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)((a a) a))) 3. ==[ beta ]==> (b ((^x1.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111233/10662672. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111234/10662699. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 111235/10662852. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 111236/10662879. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b) b)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 111237/10662978. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111238/10663023. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.b))) 3. ==[ beta ]==> ((^y.y)(b (^z.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 111239/10663050. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a (^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 111240/10663185. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111241/10663347. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 7. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 8. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 111242/10663374. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 111243/10663428. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.b)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.b)) REDUCED to normal form. ------ 111244/10663464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(a a))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(a a))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111245/10663491. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 111246/10663518. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a)) a)) REDUCED to normal form. ------ 111247/10663545. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a (a a)))) REDUCED to normal form. ------ 111248/10663572. ------ 1. ==[ start ]==> ((((a 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))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 111249/10663617. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111250/10663689. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(^y.a))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.a))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.a))) REDUCED to normal form. ------ 111251/10663716. ------ 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) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 111252/10663743. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 111253/10663797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a) a)) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a) a)) 7. ==[ beta ]==> ((a a)(((a a) a) a)) REDUCED to normal form. ------ 111254/10663824. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) b)) 5. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 111255/10663851. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a)) c)) REDUCED to normal form. ------ 111256/10663986. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 111257/10664049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 111258/10664184. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111259/10664292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111260/10664328. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c ((^y.y) a))) 3. ==[ beta ]==> ((b b)(c ((^y.y) a))) 4. ==[ alpha ]==> ((b b)(c ((^x.x) a))) 5. ==[ beta ]==> ((b b)(c a)) REDUCED to normal form. ------ 111261/10664355. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (a (a a)))) REDUCED to normal form. ------ 111262/10664373. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 111263/10664409. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a a))) REDUCED to normal form. ------ 111264/10664436. ------ 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.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 111265/10664454. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.a))) REDUCED to normal form. ------ 111266/10664535. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(a a))) 3. ==[ beta ]==> (b ((^y.(y y))(a a))) 4. ==[ alpha ]==> (b ((^x.(x x))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 111267/10664643. ------ 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 y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111268/10664679. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (a (^z.z)))) REDUCED to normal form. ------ 111269/10664706. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(b a)) REDUCED to normal form. ------ 111270/10664742. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x)) a)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a a)) REDUCED to normal form. ------ 111271/10664769. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) b)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 111272/10664850. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 111273/10664877. ------ 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. ------ 111274/10664904. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 111275/10664931. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a) a)) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a) a)) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a) a)) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 111276/10664958. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z)) b)) REDUCED to normal form. ------ 111277/10665012. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 111278/10665039. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 111279/10665093. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 111280/10665183. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111281/10665264. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 111282/10673664. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ eta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 111283/10673934. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(((a a)((a a)(a a)))((a a)((a a)(a a))))) REDUCED to normal form. ------ 111284/10674159. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111285/10674297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111286/10674666. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 111287/10674717. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a (^y.(^z.z)))(a (^x1.x1)))((a (^y.(^z.z)))(a (^x1.x1))))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1))))((a (^x2.(^y2.y2)))(a (^z2.z2)))) REDUCED to normal form. ------ 111288/10675050. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 111289/10675665. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^y.b)) REDUCED to normal form. ------ 111290/10675824. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((((a a) a)((a a) a))(((a a) a)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)((a a) a))(((a a) a)((a a) a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 111291/10676871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111292/10677804. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111293/10678626. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 111294/10678695. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111295/10678851. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(x x)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 111296/10679010. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111297/10679625. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.b))) REDUCED to normal form. ------ 111298/10679958. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 111299/10680009. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((((a (a a))(a (^y.y)))((a (a a))(a (^y.y))))(((a (a a))(a (^y.y)))((a (a a))(a (^y.y))))) 4. ==[ alpha ]==> ((((a (a a))(a (^x.x)))((a (a a))(a (^y.y))))(((a (a a))(a (^z.z)))((a (a a))(a (^x1.x1))))) REDUCED to normal form. ------ 111300/10680516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 111301/10680741. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(x (x x)))) REDUCED to normal form. ------ 111302/10680822. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.a)) REDUCED to normal form. ------ 111303/10681011. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))((^z.z) a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.x1)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 111304/10681089. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111305/10681263. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 111306/10681392. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 111307/10681419. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 111308/10681446. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111309/10681500. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 111310/10681527. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 111311/10681617. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 111312/10681644. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (a (^y.y)))) REDUCED to normal form. ------ 111313/10681671. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 111314/10681860. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))(b a))) 3. ==[ beta ]==> (((a a) a)((a (a a))(b a))) REDUCED to normal form. ------ 111315/10681887. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 111316/10681914. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 111317/10681932. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 111318/10681941. ------ 1. ==[ start ]==> ((a (a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 111319/10681977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a 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. ------ 111320/10682013. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 111321/10682031. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 111322/10682040. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 111323/10682058. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((a (a a))((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 111324/10682085. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 111325/10682094. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))((^y1.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. ------ 111326/10682121. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 111327/10682139. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.b))) REDUCED to normal form. ------ 111328/10682148. ------ 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. ------ 111329/10682166. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 111330/10682256. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 111331/10682301. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((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. ------ 111332/10682328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 111333/10682391. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 111334/10682445. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 111335/10682472. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 111336/10682499. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 111337/10682553. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 111338/10682643. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z) b))) 3. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y) b))) 5. ==[ beta ]==> ((a a)(b ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 111339/10682670. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 111340/10682697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 111341/10682724. ------ 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)))) REDUCED to normal form. ------ 111342/10682985. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b (^y.y))) REDUCED to normal form. ------ 111343/10683039. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 111344/10683057. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 111345/10683228. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111346/10683246. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111347/10683327. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)(^z.z))) IRREDUCIBLE: cycle. ------ 111348/10683390. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 111349/10683408. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 111350/10683444. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 111351/10683498. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 111352/10683552. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 111353/10683642. ------ 1. ==[ start ]==> (((a a)(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 111354/10683669. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a b)) REDUCED to normal form. ------ 111355/10683696. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111356/10683723. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(a (^x.x)))) REDUCED to normal form. ------ 111357/10683750. ------ 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) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (a (((a a)(^y.y))((^z.z) a))) 8. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y) a))) 9. ==[ beta ]==> (a (((a a)(^x.x)) a)) REDUCED to normal form. ------ 111358/10683777. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 111359/10683804. ------ 1. ==[ start ]==> (((a b)(a a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))((a b)(^y.y))) 4. ==[ alpha ]==> (((a b)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 111360/10683831. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 111361/10684002. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 111362/10684011. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 111363/10684056. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 111364/10684065. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 111365/10684083. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 111366/10684092. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 111367/10684146. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 111368/10684173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(a b))) 7. ==[ beta ]==> (((^y.(^z.z))(a b))((^y.(^z.z))(a b))) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 11. ==[ beta ]==> ((^y.(^z.z))(a b)) 12. ==[ alpha ]==> ((^x.(^y.y))(a b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111369/10684200. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a a))) REDUCED to normal form. ------ 111370/10684218. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 111371/10684227. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 111372/10684254. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 111373/10684443. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111374/10684821. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.z)))) REDUCED to normal form. ------ 111375/10684875. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111376/10684920. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 111377/10684929. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 111378/10684956. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 111379/10684983. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 111380/10685631. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c (^y.(a a)))) REDUCED to normal form. ------ 111381/10685703. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))(^z.z))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.z))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 111382/10685712. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 111383/10685739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 111384/10685766. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 111385/10685811. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 111386/10686189. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((a a)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 111387/10686270. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (b ((^x1.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111388/10686387. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(a a)))) REDUCED to normal form. ------ 111389/10686432. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.z)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.y)) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 111390/10686486. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)(^z.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)(^z.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)(^y.a))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)(^y.a))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 111391/10686495. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 111392/10686522. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 111393/10686567. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 111394/10686576. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 111395/10686603. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 111396/10686630. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 111397/10686675. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111398/10686684. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 111399/10686702. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a) c)) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a) c)) REDUCED to normal form. ------ 111400/10686828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (a b))) 3. ==[ beta ]==> (((^y.y)(a b))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (a b))) 5. ==[ beta ]==> ((a b)(b (a b))) REDUCED to normal form. ------ 111401/10686855. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 111402/10686882. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 111403/10686909. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 111404/10686936. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z) a)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y) a)) 9. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 111405/10686990. ------ 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) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a (^z.z))) REDUCED to normal form. ------ 111406/10687017. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((a b)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 111407/10687188. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 111408/10687296. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111409/10687305. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 111410/10687332. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 111411/10687359. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 111412/10687386. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 111413/10687512. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111414/10687629. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.b))) REDUCED to normal form. ------ 111415/10687656. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 111416/10687962. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 111417/10687989. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((b (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 111418/10688016. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 111419/10688187. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 111420/10688295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111421/10688331. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 111422/10688358. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 111423/10688403. ------ 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 ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111424/10688457. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.a) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.a) c)) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 111425/10688520. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 111426/10688538. ------ 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. ------ 111427/10688547. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a b)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 111428/10688601. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 111429/10688646. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111430/10688655. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 111431/10688682. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 111432/10688709. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 111433/10688745. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (a (a a)))) REDUCED to normal form. ------ 111434/10688772. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 111435/10688799. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 111436/10688826. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(b a))((a a) a)) REDUCED to normal form. ------ 111437/10688907. ------ 1. ==[ start ]==> (((a b)(a b))(b c)) REDUCED to normal form. ------ 111438/10689015. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 111439/10689042. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 111440/10689069. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 111441/10689096. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(c a)) REDUCED to normal form. ------ 111442/10689186. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111443/10689267. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 111444/10689603. ------ 1. ==[ start ]==> ((^a.(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(b (^z.z)))) REDUCED to normal form. ------ 111445/10697100. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111446/10697415. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 111447/10697613. ------ 1. ==[ start ]==> ((^a.(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(a (b (^z.z)))) 3. ==[ beta ]==> (^y.(a (b (^z.z)))) 4. ==[ alpha ]==> (^x.(a (b (^y.y)))) REDUCED to normal form. ------ 111448/10697616. ------ 1. ==[ start ]==> ((a (^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 111449/10697856. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 111450/10697955. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b (^y.(a a)))) 3. ==[ beta ]==> ((b (^y.(a a)))((b (^y.(a a)))(b (^y.(a a))))) 4. ==[ alpha ]==> ((b (^x.(a a)))((b (^y.(a a)))(b (^z.(a a))))) REDUCED to normal form. ------ 111451/10698306. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111452/10698687. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 111453/10699251. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 111454/10699638. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (b a))) 3. ==[ beta ]==> (^y.((c (b a))(c (b a)))) 4. ==[ alpha ]==> (^x.((c (b a))(c (b a)))) REDUCED to normal form. ------ 111455/10699686. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(^z.z))) REDUCED to normal form. ------ 111456/10700307. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 111457/10700520. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^z.(z z))(^x1.(a a)))((^z.(z z))(^x1.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.(a a))))(^y1.y1)) 5. ==[ beta ]==> ((((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.(a a))))(^y1.y1)) 7. ==[ beta ]==> (((a a)((^z.(z z))(^x1.(a a))))(^y1.y1)) 8. ==[ alpha ]==> (((a a)((^x.(x x))(^y.(a a))))(^z.z)) 9. ==[ beta ]==> (((a a)((^y.(a a))(^y.(a a))))(^z.z)) 10. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(a a))))(^z.z)) 11. ==[ beta ]==> (((a a)(a a))(^z.z)) 12. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 111458/10701171. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(x a))) REDUCED to normal form. ------ 111459/10701276. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(^z.(z z)))) 3. ==[ eta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111460/10701450. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(b z))) 3. ==[ eta ]==> (((^x.b)(^y.(y y))) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111461/10701954. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 111462/10702206. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((a a)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 111463/10702647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 111464/10702872. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 111465/10703031. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111466/10703817. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a) a))) 7. ==[ beta ]==> ((a a)(^y.((a a) a))) 8. ==[ alpha ]==> ((a a)(^x.((a a) a))) REDUCED to normal form. ------ 111467/10703979. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 111468/10704420. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111469/10704762. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(y y)))) REDUCED to normal form. ------ 111470/10704870. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 111471/10704951. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))(^x.a)) REDUCED to normal form. ------ 111472/10705032. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.a))) REDUCED to normal form. ------ 111473/10705110. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111474/10705113. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 111475/10705431. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 111476/10705602. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(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. ------ 111477/10705629. ------ 1. ==[ start ]==> ((a (^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(a (b (^y.y)))) REDUCED to normal form. ------ 111478/10705665. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111479/10705710. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.a)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.a)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 111480/10705737. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((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. ------ 111481/10705791. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (a (((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 111482/10705818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 111483/10705872. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 111484/10705971. ------ 1. ==[ start ]==> ((a (a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 111485/10705980. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((a a)((a a)(a a)))) 5. ==[ beta ]==> (((a a)((a a)(a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 111486/10706043. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 111487/10706070. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 111488/10706097. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 111489/10706124. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 111490/10706178. ------ 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. ------ 111491/10706241. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 111492/10706268. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a (a (^x.x)))((b a)(b a))) REDUCED to normal form. ------ 111493/10706286. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((b b)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((b b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 111494/10706295. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 111495/10706322. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111496/10706421. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 111497/10706646. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 111498/10706673. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 111499/10706790. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^y1.y1) 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. ------ 111500/10706844. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (a (((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a ((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> (a ((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 111501/10706925. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 111502/10706952. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((a a)(^y1.y1)))) 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. ------ 111503/10707006. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a)((a (^y.y))(a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 111504/10707069. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 111505/10707105. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 111506/10707186. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 111507/10707213. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 111508/10707258. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 111509/10707267. ------ 1. ==[ start ]==> ((a (a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 111510/10707420. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 111511/10707447. ------ 1. ==[ start ]==> (((a b) a)((b a) c)) REDUCED to normal form. ------ 111512/10707654. ------ 1. ==[ start ]==> ((a (^b.(a a)))(c (b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(c (b a))) REDUCED to normal form. ------ 111513/10707672. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 111514/10707699. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 111515/10707870. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)((a a) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111516/10707897. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 111517/10707951. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 111518/10708041. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 111519/10708068. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 111520/10708095. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 111521/10708122. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(^z.(z z)))) REDUCED to normal form. ------ 111522/10708176. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 111523/10708203. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(^x1.b))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.b))(((^y.y)(^z.z))(^x1.b))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 9. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b))) 10. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 11. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.b))) 12. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.b))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 111524/10708230. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 111525/10708257. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 111526/10708320. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 111527/10708347. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 111528/10708428. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 111529/10708455. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 111530/10708482. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 111531/10708509. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 111532/10708536. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 111533/10708572. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(c ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(c ((a a)(^y.y)))) 5. ==[ beta ]==> (c ((a a)(^y.y))) 6. ==[ alpha ]==> (c ((a a)(^x.x))) REDUCED to normal form. ------ 111534/10708707. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^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. ------ 111535/10708716. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a)) d)) 2. ==[ alpha ]==> (((a b) c)((^x.(a a)) d)) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 111536/10708788. ------ 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. ------ 111537/10708815. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(a b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 111538/10708869. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 111539/10708932. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a)(^y.y))) REDUCED to normal form. ------ 111540/10708959. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 111541/10708986. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 111542/10709013. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a b)(^z.(z z)))) REDUCED to normal form. ------ 111543/10709076. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 111544/10709103. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(a b))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(a b))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(a b))) 5. ==[ beta ]==> ((a (a b))((a b)(a b))) REDUCED to normal form. ------ 111545/10709130. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) a) REDUCED to normal form. ------ 111546/10709157. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 10. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111547/10709184. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(b a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(b a)) REDUCED to normal form. ------ 111548/10709265. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 111549/10709292. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 111550/10709463. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 111551/10709526. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 111552/10709571. ------ 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. ------ 111553/10709598. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111554/10709652. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(a b))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a b))) 5. ==[ beta ]==> (((a b)(a b))(a (a b))) REDUCED to normal form. ------ 111555/10709742. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 111556/10709769. ------ 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)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 111557/10709796. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b)(^x1.a))) REDUCED to normal form. ------ 111558/10709859. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 111559/10709886. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 111560/10709913. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(a b))) 5. ==[ beta ]==> ((a (a a))((^y.a)(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(a b))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 111561/10709940. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 111562/10709967. ------ 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. ------ 111563/10710021. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 111564/10710048. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 111565/10710219. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 111566/10710300. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 111567/10710408. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111568/10710435. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 111569/10710525. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 111570/10710552. ------ 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 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 111571/10710606. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a (^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 111572/10710633. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 111573/10710660. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.(a a)))) REDUCED to normal form. ------ 111574/10710714. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b) b)) REDUCED to normal form. ------ 111575/10710777. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 111576/10710804. ------ 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 z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 111577/10710831. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 111578/10710858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 111579/10710885. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 111580/10711047. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.a))) 3. ==[ beta ]==> ((a b)(c (^y.a))) 4. ==[ alpha ]==> ((a b)(c (^x.a))) REDUCED to normal form. ------ 111581/10711056. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 111582/10711083. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 111583/10711218. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d e)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d e)) 3. ==[ beta ]==> (b (d e)) REDUCED to normal form. ------ 111584/10711335. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a) b)) REDUCED to normal form. ------ 111585/10711362. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((b a)((^y.y) c)) 6. ==[ alpha ]==> ((b a)((^x.x) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 111586/10711461. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b ((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b ((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 111587/10711497. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b) a)) 5. ==[ beta ]==> ((^y.(a a))((^z.b) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.b) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111588/10711524. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 111589/10711542. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 111590/10711551. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 111591/10711650. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111592/10711686. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)(^z.z))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 111593/10711722. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 111594/10711749. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a a)) REDUCED to normal form. ------ 111595/10711776. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 111596/10711803. ------ 1. ==[ start ]==> (((a (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))((^x1.x1)(^y1.y1)))) 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. ------ 111597/10711830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a a)((^y.y)((a a) a))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a) a))) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 111598/10711857. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 111599/10711884. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 111600/10711911. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.a))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.a)(^z.a))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 111601/10711938. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 111602/10712082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111603/10712361. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a) c)) 3. ==[ beta ]==> ((b b)(((^y.y) a) c)) 4. ==[ alpha ]==> ((b b)(((^x.x) a) c)) 5. ==[ beta ]==> ((b b)(a c)) REDUCED to normal form. ------ 111604/10712406. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 111605/10712433. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(^z.z))) 6. ==[ alpha ]==> (a ((^x.x)(^y.y))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 111606/10712442. ------ 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))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 111607/10712469. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 111608/10712487. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (((b a)(b a))(a (a (^y.y)))) 6. ==[ alpha ]==> (((b a)(b a))(a (a (^x.x)))) REDUCED to normal form. ------ 111609/10712577. ------ 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. ------ 111610/10712631. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 111611/10712685. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a)) a)) REDUCED to normal form. ------ 111612/10712712. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a b)) REDUCED to normal form. ------ 111613/10712775. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.(y y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(x x))) REDUCED to normal form. ------ 111614/10712856. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.a))) REDUCED to normal form. ------ 111615/10712883. ------ 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.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 111616/10712910. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 111617/10712937. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 111618/10712964. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y) a)) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x) a)) 7. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 111619/10712991. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 111620/10713045. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 111621/10713072. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 111622/10713099. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 111623/10713126. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.a))) REDUCED to normal form. ------ 111624/10713216. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (a a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111625/10713297. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 111626/10721139. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111627/10721499. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111628/10721733. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z) c)) 3. ==[ eta ]==> ((^y.y)((^z.z) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 111629/10722228. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111630/10722354. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111631/10722393. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 111632/10722786. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.b) b)) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y) b)) 3. ==[ beta ]==> ((((^y.y) b)((^y.y) b))((^y.y) b)) 4. ==[ alpha ]==> ((((^x.x) b)((^y.y) b))((^z.z) b)) 5. ==[ beta ]==> ((b ((^y.y) b))((^z.z) b)) 6. ==[ alpha ]==> ((b ((^x.x) b))((^y.y) b)) 7. ==[ beta ]==> ((b b)((^y.y) b)) 8. ==[ alpha ]==> ((b b)((^x.x) b)) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 111633/10723119. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 111634/10723299. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a))) b) 5. ==[ beta ]==> (((^y.y)(^z.(a a))) b) 6. ==[ alpha ]==> (((^x.x)(^y.(a a))) b) 7. ==[ beta ]==> ((^y.(a a)) b) 8. ==[ alpha ]==> ((^x.(a a)) b) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111635/10724067. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 111636/10724940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111637/10725750. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 111638/10726254. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 111639/10726497. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111640/10726764. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111641/10727532. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(z b))) 5. ==[ beta ]==> ((^y.(a a))(^z.(z b))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(y b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111642/10728078. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((^y.(^z.z)) b)((^y.(^z.z)) b))(((^y.(^z.z)) b)((^y.(^z.z)) b))) 4. ==[ alpha ]==> ((((^x.(^y.y)) b)((^z.(^x1.x1)) b))(((^y1.(^z1.z1)) b)((^x2.(^y2.y2)) b))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) b))(((^y1.(^z1.z1)) b)((^x2.(^y2.y2)) b))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) b))(((^x1.(^y1.y1)) b)((^z1.(^x2.x2)) b))) 7. ==[ beta ]==> (((^y.(^z.z)) b)(((^x1.(^y1.y1)) b)((^z1.(^x2.x2)) b))) 8. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) b)((^y1.(^z1.z1)) b))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) b)((^x1.(^y1.y1)) b))) 11. ==[ beta ]==> (((^y.(^z.z)) b)((^x1.(^y1.y1)) b)) 12. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1)) b)) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 15. ==[ beta ]==> ((^y.(^z.z)) b) 16. ==[ alpha ]==> ((^x.(^y.y)) b) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111643/10728468. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111644/10728477. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 111645/10728585. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(a (a a)))) REDUCED to normal form. ------ 111646/10728603. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 111647/10728711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(^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. ------ 111648/10729158. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111649/10729161. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.c)) REDUCED to normal form. ------ 111650/10729332. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 111651/10729497. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 111652/10729524. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 111653/10729605. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111654/10729632. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 111655/10729668. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((a a)(a a)))) REDUCED to normal form. ------ 111656/10729722. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 111657/10729758. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y) c)) 3. ==[ beta ]==> ((a a)((^y.y) c)) 4. ==[ alpha ]==> ((a a)((^x.x) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 111658/10729803. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((b a)(a (a a)))) REDUCED to normal form. ------ 111659/10729830. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 111660/10729857. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a a)((a a) a))) REDUCED to normal form. ------ 111661/10729884. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)(a b))) REDUCED to normal form. ------ 111662/10729911. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 111663/10730019. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a a)((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. ------ 111664/10730037. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.(y y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(b (^y.(a a)))) 5. ==[ beta ]==> ((b (^y.(a a)))(b (^y.(a a)))) 6. ==[ alpha ]==> ((b (^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 111665/10730118. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z)(a (^x1.x1)))) 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. ------ 111666/10730145. ------ 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.y1) a))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 111667/10730226. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 111668/10730253. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 111669/10730271. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 111670/10730352. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a a))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 111671/10730379. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111672/10730388. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111673/10730415. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.x1)((a 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. ------ 111674/10730469. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111675/10730604. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 111676/10730811. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.b) b)) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x) b)) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 111677/10730937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)((a a) a))) 5. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 111678/10730964. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a) a)(a b))) REDUCED to normal form. ------ 111679/10731018. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) REDUCED to normal form. ------ 111680/10731045. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) a)(b a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a (b a))) REDUCED to normal form. ------ 111681/10731072. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 111682/10731099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111683/10731144. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 111684/10731162. ------ 1. ==[ start ]==> (((a a)((a a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 111685/10731189. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.a))) REDUCED to normal form. ------ 111686/10731216. ------ 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.(z z)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 111687/10731243. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 111688/10731270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 111689/10731297. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 111690/10731324. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a (a b))(^y.(a a))) 6. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 111691/10731333. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111692/10731414. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 111693/10731495. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 111694/10731603. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 111695/10731684. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111696/10731783. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111697/10731810. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z))) b)) 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. ------ 111698/10731882. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 111699/10732089. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> (b (a (^x1.x1))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 111700/10732170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111701/10732224. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 11. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 12. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 13. ==[ beta ]==> b REDUCED to normal form. ------ 111702/10732305. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(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. ------ 111703/10732377. ------ 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.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 111704/10732404. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 111705/10732431. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a) b)) 3. ==[ beta ]==> ((a ((a a) a))((b a) b)) REDUCED to normal form. ------ 111706/10732629. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 111707/10732773. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a b) c)((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a b) c)((a a)((^x.x) a))) 5. ==[ beta ]==> (((a b) c)((a a) a)) REDUCED to normal form. ------ 111708/10732800. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(a (a a)))) 3. ==[ beta ]==> (((a a) b)((a b)(a (a a)))) REDUCED to normal form. ------ 111709/10732827. ------ 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. ------ 111710/10732881. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(a b))) REDUCED to normal form. ------ 111711/10732908. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.b))(a ((^y.y)(a a)))) 7. ==[ beta ]==> ((a (^x.b))(a (a a))) REDUCED to normal form. ------ 111712/10732962. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111713/10733106. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 111714/10733160. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(^y.b))) 3. ==[ beta ]==> ((a (a b))((a (a a))(^y.b))) 4. ==[ alpha ]==> ((a (a b))((a (a a))(^x.b))) REDUCED to normal form. ------ 111715/10733187. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(a a)))) REDUCED to normal form. ------ 111716/10733268. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a) a)) 3. ==[ beta ]==> (((a b) a)((b a) a)) REDUCED to normal form. ------ 111717/10733295. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 111718/10733439. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.b))) 5. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 7. ==[ beta ]==> (b ((^y.b)(^y.b))) 8. ==[ alpha ]==> (b ((^x.b)(^y.b))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111719/10733583. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(a (^y.y)))) REDUCED to normal form. ------ 111720/10733691. ------ 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 a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 111721/10733718. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (a b))) REDUCED to normal form. ------ 111722/10733772. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 111723/10733916. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(b a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 111724/10733970. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a (a a))(a (^y.b))) 8. ==[ alpha ]==> ((a (a a))(a (^x.b))) REDUCED to normal form. ------ 111725/10733997. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 111726/10734051. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 111727/10734078. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))((a a) b)) REDUCED to normal form. ------ 111728/10734105. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b) c)) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b) c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b) c)) 5. ==[ beta ]==> (((a a) a)((a b) c)) REDUCED to normal form. ------ 111729/10734276. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 111730/10734474. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(a b))) REDUCED to normal form. ------ 111731/10734492. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 111732/10734501. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 111733/10734519. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 111734/10734573. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(a (^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(a (^y.y)))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 111735/10734654. ------ 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 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111736/10734762. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111737/10734789. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 111738/10734969. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a)) a)) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 111739/10734996. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b) b)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b) b)) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 111740/10735068. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 111741/10735113. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 111742/10735140. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(b (^z1.b))) 3. ==[ beta ]==> ((^y.y)(b (^z1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 111743/10735275. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 111744/10735383. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111745/10735437. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111746/10735464. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(z z))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) 7. ==[ beta ]==> ((^y.(y y))(^y.(y y))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(y y))) IRREDUCIBLE: cycle. ------ 111747/10735554. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (a b))) 5. ==[ beta ]==> ((^y.(a a))(a (a b))) 6. ==[ alpha ]==> ((^x.(a a))(a (a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111748/10735581. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(a a))) REDUCED to normal form. ------ 111749/10735608. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 111750/10735635. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a)) a)) REDUCED to normal form. ------ 111751/10735662. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (a (a a)))) REDUCED to normal form. ------ 111752/10735707. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111753/10735716. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)((a a) a))) REDUCED to normal form. ------ 111754/10735779. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 111755/10735806. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(^x1.a))) REDUCED to normal form. ------ 111756/10735833. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (b a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((a (b a))(a (^x.(x x)))) REDUCED to normal form. ------ 111757/10735860. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 111758/10735914. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a) a)) REDUCED to normal form. ------ 111759/10735941. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y)) b)) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y) b)) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x) b)) 5. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 111760/10736076. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) a)) 3. ==[ beta ]==> ((b (a a))((^y.a) a)) 4. ==[ alpha ]==> ((b (a a))((^x.a) a)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 111761/10736103. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 111762/10736274. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 111763/10736382. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 111764/10736463. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 111765/10736490. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111766/10736499. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z)(^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. ------ 111767/10736526. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a a))) REDUCED to normal form. ------ 111768/10736607. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 111769/10736625. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(a (^y.(^z.z)))) 3. ==[ beta ]==> (b (a (^y.(^z.z)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 111770/10736688. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c c)) REDUCED to normal form. ------ 111771/10736733. ------ 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 (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. ------ 111772/10736859. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) a)) 5. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 111773/10736886. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 111774/10736913. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 111775/10736967. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 111776/10736994. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 111777/10737021. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 111778/10737048. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 111779/10737129. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a) a)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 111780/10737156. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 111781/10737183. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) c)) 3. ==[ beta ]==> ((a (b (^x.x))) c) REDUCED to normal form. ------ 111782/10737273. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.z2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.z2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111783/10737354. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 111784/10745205. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111785/10745757. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 111786/10745808. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b)(a (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 111787/10746078. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (^y.y))((^z.z) b))(((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))((a (^y1.y1))((^z1.z1) b)))) 5. ==[ beta ]==> (((a (^x.x)) b)(((a (^z.z))((^x1.x1) b))((a (^y1.y1))((^z1.z1) b)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(((a (^y.y))((^z.z) b))((a (^x1.x1))((^y1.y1) b)))) 7. ==[ beta ]==> (((a (^x.x)) b)(((a (^y.y)) b)((a (^x1.x1))((^y1.y1) b)))) 8. ==[ alpha ]==> (((a (^x.x)) b)(((a (^y.y)) b)((a (^z.z))((^x1.x1) b)))) 9. ==[ beta ]==> (((a (^x.x)) b)(((a (^y.y)) b)((a (^z.z)) b))) REDUCED to normal form. ------ 111788/10746303. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111789/10746837. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((y y)(y y)))) 5. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 6. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 111790/10746861. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((((^y.y) b)(a a))(((^y.y) b)(a a)))(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((((^x.x) b)(a a))(((^y.y) b)(a a)))(((^z.z) b)(a a))) 5. ==[ beta ]==> (((b (a a))(((^y.y) b)(a a)))(((^z.z) b)(a a))) 6. ==[ alpha ]==> (((b (a a))(((^x.x) b)(a a)))(((^y.y) b)(a a))) 7. ==[ beta ]==> (((b (a a))(b (a a)))(((^y.y) b)(a a))) 8. ==[ alpha ]==> (((b (a a))(b (a a)))(((^x.x) b)(a a))) 9. ==[ beta ]==> (((b (a a))(b (a a)))(b (a a))) REDUCED to normal form. ------ 111791/10747194. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 111792/10747836. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111793/10747968. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a b)((^z.z)(^x1.x1)))((a b)((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((a b)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1))))) 5. ==[ beta ]==> (((a b)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 10. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 111794/10748151. ------ 1. ==[ start ]==> (((a b) b)(^a.(^b.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 111795/10749042. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 111796/10749948. ------ 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 y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111797/10750839. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111798/10751022. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 111799/10751154. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111800/10751607. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.z))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111801/10751796. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 111802/10752129. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.((y y) y))) 3. ==[ beta ]==> ((b (a a))(^y.((y y) y))) 4. ==[ alpha ]==> ((b (a a))(^x.((x x) x))) REDUCED to normal form. ------ 111803/10752153. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a a))(((^y.y)(^z.z))(a a)))((((^y.y)(^z.z))(a a))(((^y.y)(^z.z))(a a)))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a)))((((^y1.y1)(^z1.z1))(a a))(((^x2.x2)(^y2.y2))(a a)))) 5. ==[ beta ]==> ((((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))((((^y1.y1)(^z1.z1))(a a))(((^x2.x2)(^y2.y2))(a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(((^y.y)(^z.z))(a a)))((((^x1.x1)(^y1.y1))(a a))(((^z1.z1)(^x2.x2))(a a)))) 7. ==[ beta ]==> (((a a)(((^y.y)(^z.z))(a a)))((((^x1.x1)(^y1.y1))(a a))(((^z1.z1)(^x2.x2))(a a)))) 8. ==[ alpha ]==> (((a a)(((^x.x)(^y.y))(a a)))((((^z.z)(^x1.x1))(a a))(((^y1.y1)(^z1.z1))(a a)))) 9. ==[ beta ]==> (((a a)((^y.y)(a a)))((((^z.z)(^x1.x1))(a a))(((^y1.y1)(^z1.z1))(a a)))) 10. ==[ alpha ]==> (((a a)((^x.x)(a a)))((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 11. ==[ beta ]==> (((a a)(a a))((((^y.y)(^z.z))(a a))(((^x1.x1)(^y1.y1))(a a)))) 12. ==[ alpha ]==> (((a a)(a a))((((^x.x)(^y.y))(a a))(((^z.z)(^x1.x1))(a a)))) 13. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(((^z.z)(^x1.x1))(a a)))) 14. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(((^y.y)(^z.z))(a a)))) 15. ==[ beta ]==> (((a a)(a a))((a a)(((^y.y)(^z.z))(a a)))) 16. ==[ alpha ]==> (((a a)(a a))((a a)(((^x.x)(^y.y))(a a)))) 17. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 18. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 19. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 111804/10752552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 111805/10752687. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 111806/10752795. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a (a a)))) REDUCED to normal form. ------ 111807/10752912. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(z (z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(z (z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (y y)))) REDUCED to normal form. ------ 111808/10753182. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) b)(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.z)) 5. ==[ beta ]==> ((b (a (^y.y)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 111809/10753233. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111810/10753236. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 111811/10753407. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111812/10753590. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 111813/10753617. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111814/10753698. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 111815/10753725. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 111816/10753788. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 111817/10753815. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 111818/10753842. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 111819/10753851. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z) c)) 3. ==[ beta ]==> ((^y.a)((^z.z) c)) 4. ==[ alpha ]==> ((^x.a)((^y.y) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 111820/10754031. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a) 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)((^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. ------ 111821/10754058. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 111822/10754085. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 111823/10754112. ------ 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. ------ 111824/10754184. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(a a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 111825/10754202. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 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. ------ 111826/10754211. ------ 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. ------ 111827/10754229. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 111828/10754238. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 111829/10754256. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 111830/10754319. ------ 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. ------ 111831/10754337. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 111832/10754427. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(y y))(b a))) 3. ==[ beta ]==> ((b b)((^y.(y y))(b a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(b a))) 5. ==[ beta ]==> ((b b)((b a)(b a))) REDUCED to normal form. ------ 111833/10754472. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111834/10754553. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) b)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 7. ==[ beta ]==> (((^y.y) b) b) 8. ==[ alpha ]==> (((^x.x) b) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111835/10754562. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 111836/10754589. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 111837/10754670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 111838/10754697. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 111839/10754841. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b b)) REDUCED to normal form. ------ 111840/10754868. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 111841/10754895. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a ((a a) a))(b (a a))) REDUCED to normal form. ------ 111842/10754931. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) c)) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) c) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) c) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111843/10755156. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 111844/10755183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111845/10755228. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (^x.b))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 111846/10755399. ------ 1. ==[ start ]==> (((^a.b) a)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111847/10755417. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 111848/10755498. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) IRREDUCIBLE: cycle. ------ 111849/10755561. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 111850/10755579. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 111851/10755588. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 111852/10755606. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(a b))((b a) c)) 3. ==[ beta ]==> ((a b)((b a) c)) REDUCED to normal form. ------ 111853/10755669. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 111854/10755696. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 111855/10755723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.a)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(^z.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 111856/10755750. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 111857/10755777. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 111858/10755813. ------ 1. ==[ start ]==> (((a a)(a b))(c (b a))) REDUCED to normal form. ------ 111859/10755840. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 111860/10755867. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 111861/10755894. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 111862/10755921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((b a)(a (^z.z)))) 6. ==[ alpha ]==> (((^x.x) a)((b a)(a (^y.y)))) 7. ==[ beta ]==> (a ((b a)(a (^y.y)))) 8. ==[ alpha ]==> (a ((b a)(a (^x.x)))) REDUCED to normal form. ------ 111863/10755948. ------ 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) a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 111864/10755975. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 111865/10756002. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (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. ------ 111866/10756182. ------ 1. ==[ start ]==> (((a b) b)(a (^b.b))) 2. ==[ alpha ]==> (((a b) b)(a (^x.x))) REDUCED to normal form. ------ 111867/10756209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 111868/10756227. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 111869/10756254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 111870/10756263. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 111871/10756308. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 11. ==[ beta ]==> ((a b)(^y.(^z.z))) 12. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 111872/10756317. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 111873/10756371. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 111874/10756389. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 111875/10756398. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 111876/10756425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 111877/10756614. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111878/10756848. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111879/10757073. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 111880/10757091. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a)(^z.z))) 3. ==[ beta ]==> (b ((b a)(^z.z))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 111881/10757154. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 111882/10757856. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 111883/10757910. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 111884/10757937. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 111885/10757982. ------ 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 x1)))) REDUCED to normal form. ------ 111886/10758261. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111887/10758441. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (b ((^x1.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111888/10758585. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b (^x1.(a a)))) REDUCED to normal form. ------ 111889/10758657. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 111890/10758666. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 111891/10758693. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.b)((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 111892/10758738. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))(^b.(^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. ------ 111893/10758747. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 10. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 111894/10758774. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 111895/10758801. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 111896/10758846. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111897/10758855. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 111898/10758873. ------ 1. ==[ start ]==> ((a (^b.b))((a b) b)) 2. ==[ alpha ]==> ((a (^x.x))((a b) b)) REDUCED to normal form. ------ 111899/10758999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c ((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))(c ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(c ((a a) a))) 5. ==[ beta ]==> ((a b)(c ((a a) a))) REDUCED to normal form. ------ 111900/10759026. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (a b))) REDUCED to normal form. ------ 111901/10759053. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 111902/10759080. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(a a))) REDUCED to normal form. ------ 111903/10759107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) 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. ------ 111904/10759161. ------ 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))(a (a a)))) REDUCED to normal form. ------ 111905/10759188. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y)(^z.z)))) 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. ------ 111906/10759359. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 111907/10759467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111908/10759476. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 111909/10759503. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 111910/10759521. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 6. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 7. ==[ beta ]==> (b ((^y.y) c)) 8. ==[ alpha ]==> (b ((^x.x) c)) 9. ==[ beta ]==> (b c) REDUCED to normal form. ------ 111911/10759530. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 111912/10759557. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.(z1 z1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 111913/10759638. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 111914/10759683. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) b)) 3. ==[ beta ]==> (b ((^y.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 111915/10759800. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.a))) REDUCED to normal form. ------ 111916/10759827. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a (^z.b))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.b))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.b))) REDUCED to normal form. ------ 111917/10760133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 111918/10760160. ------ 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. ------ 111919/10760187. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(a a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a a))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 111920/10760223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) c)) 5. ==[ beta ]==> ((^y.(y y)) c) 6. ==[ alpha ]==> ((^x.(x x)) c) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 111921/10760358. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 111922/10760466. ------ 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)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111923/10760502. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 111924/10760529. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 111925/10760583. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 111926/10760628. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y)) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x)) b)) 5. ==[ beta ]==> (((b a)(b a))(b b)) REDUCED to normal form. ------ 111927/10760691. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.(y y)))) REDUCED to normal form. ------ 111928/10760718. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 111929/10760772. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 111930/10760817. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111931/10760826. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (a a))) REDUCED to normal form. ------ 111932/10760853. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 111933/10760880. ------ 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)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 111934/10760916. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b ((^x.x) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(b a)) REDUCED to normal form. ------ 111935/10760943. ------ 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. ------ 111936/10760970. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 111937/10760997. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 111938/10761024. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a) a)) REDUCED to normal form. ------ 111939/10761078. ------ 1. ==[ start ]==> (((a b)(a b))(c b)) REDUCED to normal form. ------ 111940/10761105. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b c)) 3. ==[ beta ]==> (((a a)((a a) a))(b c)) REDUCED to normal form. ------ 111941/10761186. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (a (^z.z)))) REDUCED to normal form. ------ 111942/10761213. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(a ((^z.z) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a ((^y.y) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 111943/10761240. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 111944/10761267. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 111945/10761357. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111946/10761438. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 111947/10761545. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 111948/10761546. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 111949/10769580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1))) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111950/10769586. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111951/10769640. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 111952/10769838. ------ 1. ==[ start ]==> ((^a.(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.(b ((a a)(a a)))) 4. ==[ alpha ]==> (^x.(b ((a a)(a a)))) REDUCED to normal form. ------ 111953/10770081. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 111954/10770219. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 111955/10770531. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111956/10770939. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 111957/10771476. ------ 1. ==[ start ]==> ((^a.(a b))((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(a b))) 3. ==[ beta ]==> (((^y.a)(a b)) b) 4. ==[ alpha ]==> (((^x.a)(a b)) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 111958/10771938. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.(^b.b))) 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 (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 111959/10772244. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 111960/10772559. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 111961/10772745. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(^y1.b))((^z.(^x1.x1))(^y1.b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.b)))(^x2.x2)) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.b)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.b)))(^y1.y1)) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.b))(^y1.y1)) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 9. ==[ beta ]==> ((^y.y)(^x1.x1)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111962/10773423. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(y a))) 3. ==[ beta ]==> (((a b) a)(^y.(y a))) 4. ==[ alpha ]==> (((a b) a)(^x.(x a))) REDUCED to normal form. ------ 111963/10773501. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))(^z.a))) 3. ==[ eta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 111964/10773945. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.((a a)(^z.z)))) 3. ==[ beta ]==> (b (^y.((a a)(^z.z)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 111965/10774206. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 111966/10774338. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 111967/10774674. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 111968/10775124. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 111969/10776069. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 111970/10776231. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.a))) REDUCED to normal form. ------ 111971/10776780. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(a (a a)))) 3. ==[ beta ]==> (b (^y.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 111972/10776897. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(y1 y1)))) REDUCED to normal form. ------ 111973/10777014. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 111974/10777122. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 111975/10777203. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 111976/10777284. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 111977/10777335. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 111978/10777509. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 111979/10777617. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 111980/10777629. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 111981/10777683. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 111982/10777737. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 111983/10777881. ------ 1. ==[ start ]==> ((a (^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))(b ((a a)(a a)))) REDUCED to normal form. ------ 111984/10777962. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 111985/10777989. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 111986/10778043. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))((^y.y)(^z.z)))) 7. ==[ beta ]==> (a (((a a)(^x.x))(^z.z))) 8. ==[ alpha ]==> (a (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 111987/10778070. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 111988/10778124. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 111989/10778232. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a (^y.y))((^z.z) b))((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1) b))) 7. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((^x1.x1) b))) 8. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) b))) 9. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) b)) REDUCED to normal form. ------ 111990/10778259. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 111991/10778295. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 111992/10778322. ------ 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. ------ 111993/10778349. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 111994/10778376. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(^z.(z z)))) REDUCED to normal form. ------ 111995/10778403. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 111996/10778466. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a b))) 3. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 111997/10778520. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 111998/10778547. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(b a))) 3. ==[ beta ]==> (((a (a a))(a a))((b a)(b a))) REDUCED to normal form. ------ 111999/10778574. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 112000/10778673. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b) b)) 3. ==[ beta ]==> (((a (a a)) b)(b b)) REDUCED to normal form. ------ 112001/10778871. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 112002/10778925. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 112003/10778952. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))(^b.b))) 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. ------ 112004/10779042. ------ 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.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 112005/10779096. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> (a (((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 112006/10779177. ------ 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. ------ 112007/10779204. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2)(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. ------ 112008/10779258. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(b a))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(b a))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(b a))) 9. ==[ beta ]==> ((a a)(a (b a))) REDUCED to normal form. ------ 112009/10779357. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.b)(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. ------ 112010/10779384. ------ 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.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 112011/10779465. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 112012/10779492. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a a)) b) REDUCED to normal form. ------ 112013/10779510. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(^y.b))) 3. ==[ beta ]==> (b (((a a) a)(^y.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 112014/10779519. ------ 1. ==[ start ]==> ((a (a b))((^c.a)(a b))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(a b))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 112015/10779672. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b) a)) 3. ==[ beta ]==> ((((a a) a) b)(b a)) REDUCED to normal form. ------ 112016/10779699. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 112017/10779726. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.b))((b a) c)) REDUCED to normal form. ------ 112018/10779951. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 112019/10779978. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 112020/10780077. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z)) d)) 3. ==[ beta ]==> (b ((^y.(^z.z)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112021/10780122. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112022/10780149. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 112023/10780203. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)((a (a a))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 9. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 112024/10780284. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 112025/10780320. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 112026/10780347. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 112027/10780374. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 112028/10780428. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 112029/10780482. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.b)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 112030/10780509. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 112031/10780572. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 112032/10780599. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 112033/10780626. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 112034/10780707. ------ 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 z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 112035/10780734. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 112036/10780788. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 112037/10780959. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((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. ------ 112038/10780968. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 112039/10781040. ------ 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. ------ 112040/10781067. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 7. ==[ beta ]==> ((^y.y)((a a) a)) 8. ==[ alpha ]==> ((^x.x)((a a) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 112041/10781121. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 112042/10781211. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((b a)(^y.y))) REDUCED to normal form. ------ 112043/10781238. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112044/10781265. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 112045/10781301. ------ 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. ------ 112046/10781355. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 112047/10781382. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(a b))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a b)(a b))) REDUCED to normal form. ------ 112048/10781409. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 10. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 112049/10781436. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 112050/10781463. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(b a))) 3. ==[ beta ]==> (((a b) a)((^y.y)(b a))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(b a))) 5. ==[ beta ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 112051/10781544. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 112052/10781715. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (b (b ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 112053/10781778. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 112054/10781823. ------ 1. ==[ start ]==> (((^a.a)(b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((a b)((^y.y) a))) 3. ==[ beta ]==> ((b a)((a b)((^y.y) a))) 4. ==[ alpha ]==> ((b a)((a b)((^x.x) a))) 5. ==[ beta ]==> ((b a)((a b) a)) REDUCED to normal form. ------ 112055/10781850. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a) a)(a (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. ------ 112056/10781904. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 112057/10781985. ------ 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. ------ 112058/10782021. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 112059/10782048. ------ 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)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112060/10782111. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 112061/10782138. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 112062/10782165. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((a a) a))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 112063/10782192. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(a b))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 112064/10782219. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 112065/10782246. ------ 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. ------ 112066/10782273. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 112067/10782300. ------ 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.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 112068/10782327. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 112069/10782381. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 112070/10782471. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a a)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((a a)(b ((^x.x)(a a)))) 7. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 112071/10782552. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 112072/10782660. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112073/10782687. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 112074/10782714. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 112075/10782777. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 112076/10782804. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.a))) 5. ==[ beta ]==> ((^y.b)(((a a) a)(^z.a))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112077/10782858. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 112078/10782912. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 112079/10782966. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a) a)) REDUCED to normal form. ------ 112080/10783002. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 112081/10783029. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 112082/10783056. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 112083/10783083. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 112084/10783110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 112085/10783137. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 112086/10783164. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 112087/10783308. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 112088/10783335. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 112089/10783587. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b) a)) REDUCED to normal form. ------ 112090/10783614. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a) b)) 3. ==[ beta ]==> ((b a)(((a a) a) b)) REDUCED to normal form. ------ 112091/10783641. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 112092/10783776. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 112093/10783794. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a)(a a))) 3. ==[ beta ]==> (b (((a a) a)(a a))) REDUCED to normal form. ------ 112094/10783803. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) b)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 112095/10783830. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112096/10783902. ------ 1. ==[ start ]==> (((^a.(^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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112097/10783974. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 112098/10784001. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a (^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. ------ 112099/10784028. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((a (b a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((a (b a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((a (b a))(a ((^x.x) a))) 9. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 112100/10784055. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 112101/10784082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 112102/10784109. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a b))((a a) a)) REDUCED to normal form. ------ 112103/10784136. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 112104/10784163. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 112105/10784190. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 112106/10784244. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 112107/10784271. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((b (a a))(^y.a)) 6. ==[ alpha ]==> ((b (a a))(^x.a)) REDUCED to normal form. ------ 112108/10784334. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((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. ------ 112109/10784613. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a)) b)) 3. ==[ beta ]==> ((b b)((a (a a)) b)) REDUCED to normal form. ------ 112110/10784685. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) 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. ------ 112111/10784721. ------ 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))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 112112/10784739. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(a a))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(a a))) REDUCED to normal form. ------ 112113/10784820. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(a (a a)))) 3. ==[ beta ]==> (b ((a a)(a (a a)))) REDUCED to normal form. ------ 112114/10784883. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 112115/10784937. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 112116/10784964. ------ 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. ------ 112117/10784991. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a b)) REDUCED to normal form. ------ 112118/10785027. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 112119/10785054. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y y))) REDUCED to normal form. ------ 112120/10785108. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 112121/10785135. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 112122/10785162. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 112123/10785189. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 112124/10785216. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 112125/10785243. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 112126/10785297. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 112127/10785324. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.a)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 112128/10785378. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 112129/10785549. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(a a))) 3. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 112130/10785657. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112131/10787379. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 112132/10793700. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112133/10793724. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112134/10793805. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112135/10793967. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112136/10794006. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 112137/10794534. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112138/10794660. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112139/10795425. ------ 1. ==[ start ]==> ((^a.(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 112140/10795428. ------ 1. ==[ start ]==> ((a (^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 112141/10795605. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(^y.b)) b) 4. ==[ alpha ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 112142/10795992. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))(^x1.(^y1.y1)))((^z.(z z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(((^z.(^x1.x1))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.((^z.z)((^z1.(z1 z1))(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (^x.((^y.y)((^z.(z z))(^x1.(^y1.y1))))) 9. ==[ beta ]==> (^x.((^z.(z z))(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.x1)))) 11. ==[ beta ]==> (^x.((^z.(^x1.x1))(^z.(^x1.x1)))) 12. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^x.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112143/10796382. ------ 1. ==[ start ]==> (((a b) b)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 112144/10796688. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 112145/10797291. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 112146/10797552. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.a))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.a))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.a))) REDUCED to normal form. ------ 112147/10797630. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a)) c)) 3. ==[ eta ]==> (b (((^y.y)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 112148/10798083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 112149/10798179. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 112150/10799046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112151/10799070. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112152/10799667. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(a z1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1))) a) 4. ==[ beta ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112153/10799865. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(y b))) REDUCED to normal form. ------ 112154/10800027. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 112155/10800198. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 112156/10800666. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 112157/10800810. ------ 1. ==[ start ]==> ((((^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.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 112158/10800918. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(a (a a)))) REDUCED to normal form. ------ 112159/10801143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.d)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.d)) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.d)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.d)) REDUCED to normal form. ------ 112160/10801413. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.z)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 112161/10801464. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112162/10801557. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112163/10801746. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112164/10801776. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 112165/10801857. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 112166/10801965. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 112167/10801992. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112168/10802019. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 112169/10802055. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 112170/10802136. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 112171/10802163. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((b a)(a (a a)))) 3. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 112172/10802190. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 112173/10802217. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((a a) a))) REDUCED to normal form. ------ 112174/10802244. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 112175/10802352. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a 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. ------ 112176/10802397. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 112177/10802478. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 112178/10802505. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(^y1.(^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. ------ 112179/10802586. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 112180/10802604. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.b))) REDUCED to normal form. ------ 112181/10802631. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 112182/10802712. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^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. ------ 112183/10802721. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112184/10802748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 112185/10802856. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112186/10802937. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 112187/10803270. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y)(a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 8. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 9. ==[ beta ]==> (b ((a a)(^y.y))) 10. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 112188/10803297. ------ 1. ==[ start ]==> ((((a a) a) a)((a b)((a a) a))) REDUCED to normal form. ------ 112189/10803351. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 112190/10803378. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 112191/10803405. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a (b a))) REDUCED to normal form. ------ 112192/10803432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112193/10803459. ------ 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)(^x.x))((a a) b)) REDUCED to normal form. ------ 112194/10803477. ------ 1. ==[ start ]==> ((a (^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 112195/10803495. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 112196/10803522. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 112197/10803549. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))((b a)(^y.a))) 4. ==[ alpha ]==> ((a (a (a a)))((b a)(^x.a))) REDUCED to normal form. ------ 112198/10803576. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 112199/10803603. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 112200/10803630. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 112201/10803657. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.b))) REDUCED to normal form. ------ 112202/10803666. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.b)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112203/10803747. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.a)(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.a)(b a))) IRREDUCIBLE: cycle. ------ 112204/10803828. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112205/10803855. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 112206/10803936. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 112207/10804017. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112208/10804044. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 112209/10804143. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) a)) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 112210/10804170. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1))) b)) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) b)) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 112211/10804215. ------ 1. ==[ start ]==> (((^a.b) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) b)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (b (((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 112212/10804224. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 112213/10804422. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 112214/10804431. ------ 1. ==[ start ]==> (((a b) b)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 112215/10804476. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 112216/10804557. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a (a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(a a))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 11. ==[ beta ]==> ((^y.(a a))(a (a a))) 12. ==[ alpha ]==> ((^x.(a a))(a (a a))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112217/10804638. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112218/10804737. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 112219/10804764. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 112220/10804791. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a) b)) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a) b)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a) b)) REDUCED to normal form. ------ 112221/10804962. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112222/10805106. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 112223/10805133. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a a) b)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a a) b)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a a) b)((a a) a)) REDUCED to normal form. ------ 112224/10805160. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(a (a a)))) REDUCED to normal form. ------ 112225/10805214. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 112226/10805241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(a b))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(a b))) REDUCED to normal form. ------ 112227/10805295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112228/10805322. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)(b a))) REDUCED to normal form. ------ 112229/10805340. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 112230/10805439. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 112231/10805466. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a 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. ------ 112232/10805493. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a b))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (a b))(^y.a)) 8. ==[ alpha ]==> ((a (a b))(^x.a)) REDUCED to normal form. ------ 112233/10805520. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a (a a))(^x.b))) REDUCED to normal form. ------ 112234/10805547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(a a)))) 9. ==[ beta ]==> (((^y.y) a)(^z.(a a))) 10. ==[ alpha ]==> (((^x.x) a)(^y.(a a))) 11. ==[ beta ]==> (a (^y.(a a))) 12. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 112235/10805628. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a) a)) REDUCED to normal form. ------ 112236/10805655. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 112237/10805682. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a)) c)) 3. ==[ beta ]==> ((a (b a))((a a) c)) REDUCED to normal form. ------ 112238/10805772. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112239/10805853. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112240/10805916. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 112241/10806024. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 10. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 112242/10806051. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))((a a) a))) REDUCED to normal form. ------ 112243/10806105. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 112244/10806123. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (b (b (^y.(^z.z)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 112245/10806132. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 112246/10806231. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 112247/10806249. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 112248/10806276. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 112249/10806330. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a b))(a (^y.b))) 4. ==[ alpha ]==> (((a (a a))(a b))(a (^x.b))) REDUCED to normal form. ------ 112250/10806357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 112251/10806411. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 112252/10806438. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a)) b)) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> (((a a) a)((a a) b)) REDUCED to normal form. ------ 112253/10806465. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b) c)) REDUCED to normal form. ------ 112254/10806528. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112255/10806609. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 112256/10806807. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((a a) a))) REDUCED to normal form. ------ 112257/10806834. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 112258/10806852. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 112259/10806906. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 112260/10806987. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112261/10807095. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 112262/10807122. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 112263/10807140. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b) b)) REDUCED to normal form. ------ 112264/10807167. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a) c)) REDUCED to normal form. ------ 112265/10807329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a)) a)) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 112266/10807356. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b) b)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b) b)) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 112267/10807401. ------ 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))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1) 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. ------ 112268/10807608. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112269/10807716. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112270/10807770. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112271/10807797. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112272/10807851. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 112273/10807887. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b ((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b ((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b ((a a) a))) 5. ==[ beta ]==> ((^y.(a a))(b ((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))(b ((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112274/10807914. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (a b))) REDUCED to normal form. ------ 112275/10807941. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(a a))) REDUCED to normal form. ------ 112276/10807968. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 112277/10807995. ------ 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))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a)) a)) REDUCED to normal form. ------ 112278/10808049. ------ 1. ==[ start ]==> (((a (^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))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^x2.x2))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 112279/10808076. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)((a a) a))) 3. ==[ beta ]==> ((b (^y.y))((a a)((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 112280/10808112. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)(^y.y))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.x))) REDUCED to normal form. ------ 112281/10808139. ------ 1. ==[ start ]==> (((a (^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.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 112282/10808166. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((a (b a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((a (b a))((a (a a))(^x.a))) REDUCED to normal form. ------ 112283/10808193. ------ 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) a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 112284/10808220. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((a (^y.y))(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 112285/10808247. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.a))) REDUCED to normal form. ------ 112286/10808274. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 112287/10808301. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) b)) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) b)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) b)) 9. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 112288/10808607. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112289/10808715. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 112290/10808796. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 112291/10808823. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112292/10808832. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (a (a a)))) REDUCED to normal form. ------ 112293/10808859. ------ 1. ==[ start ]==> ((((^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.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1)(^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. ------ 112294/10808940. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 112295/10808958. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (^y.(y y)))) 3. ==[ beta ]==> (b (b (^y.(y y)))) 4. ==[ alpha ]==> (b (b (^x.(x x)))) REDUCED to normal form. ------ 112296/10808967. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(a (a a)))) REDUCED to normal form. ------ 112297/10809066. ------ 1. ==[ start ]==> (((^a.(^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) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112298/10809219. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z)) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 112299/10809246. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) b)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 112300/10809327. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 112301/10809354. ------ 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. ------ 112302/10809381. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 112303/10809435. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z)) b)) REDUCED to normal form. ------ 112304/10809462. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((a a) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a) c)) REDUCED to normal form. ------ 112305/10809489. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 112306/10809516. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 112307/10809606. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112308/10809687. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 112309/10809795. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112310/10811193. ------ 1. ==[ start ]==> ((^a.((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((^y.((y y)(y y)))(^y.((y y)(y y))))(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((^x.((x x)(x x)))(^y.((y y)(y y))))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))(^y1.((y1 y1)(y1 y1)))) 7. ==[ beta ]==> (((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))(^y1.((y1 y1)(y1 y1)))) 8. ==[ alpha ]==> (((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))(^x2.((x2 x2)(x2 x2)))) 9. ==[ beta ]==> ((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))(^x2.((x2 x2)(x2 x2)))) 10. ==[ alpha ]==> ((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))(^z2.((z2 z2)(z2 z2)))) 11. ==[ beta ]==> (((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))(^z2.((z2 z2)(z2 z2)))) 12. ==[ alpha ]==> (((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))(^y3.((y3 y3)(y3 y3)))) 13. ==[ beta ]==> ((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))(^y3.((y3 y3)(y3 y3)))) 14. ==[ alpha ]==> ((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))(^x4.((x4 x4)(x4 x4)))) 15. ==[ beta ]==> (((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))(^x4.((x4 x4)(x4 x4)))) 16. ==[ alpha ]==> (((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))(^z4.((z4 z4)(z4 z4)))) 17. ==[ beta ]==> ((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))(^z4.((z4 z4)(z4 z4)))) 18. ==[ alpha ]==> ((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))(^y5.((y5 y5)(y5 y5)))) 19. ==[ beta ]==> (((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))(^y5.((y5 y5)(y5 y5)))) 20. ==[ alpha ]==> (((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))(^x6.((x6 x6)(x6 x6)))) 21. ==[ beta ]==> ((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))(^x6.((x6 x6)(x6 x6)))) 22. ==[ alpha ]==> ((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))(^z6.((z6 z6)(z6 z6)))) 23. ==[ beta ]==> (((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))(^z6.((z6 z6)(z6 z6)))) 24. ==[ alpha ]==> (((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))(^y7.((y7 y7)(y7 y7)))) 25. ==[ beta ]==> ((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))(^y7.((y7 y7)(y7 y7)))) 26. ==[ alpha ]==> ((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))(^x8.((x8 x8)(x8 x8)))) 27. ==[ beta ]==> (((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))(^x8.((x8 x8)(x8 x8)))) 28. ==[ alpha ]==> (((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))(^z8.((z8 z8)(z8 z8)))) 29. ==[ beta ]==> ((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))(^z8.((z8 z8)(z8 z8)))) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))(^y9.((y9 y9)(y9 y9)))) 31. ==[ beta ]==> (((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))(^y9.((y9 y9)(y9 y9)))) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))(^x10.((x10 x10)(x10 x10)))) 33. ==[ beta ]==> ((((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))(^x10.((x10 x10)(x10 x10)))) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x)(x x)))(^y.((y y)(y y))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))(^z10.((z10 z10)(z10 z10)))) 35. ==[ beta ]==> (((((((((((((((((((^y.((y y)(y y)))(^y.((y y)(y y))))((^y.((y y)(y y)))(^y.((y y)(y y)))))((^z.((z z)(z z)))(^x1.((x1 x1)(x1 x1)))))((^y1.((y1 y1)(y1 y1)))(^z1.((z1 z1)(z1 z1)))))((^x2.((x2 x2)(x2 x2)))(^y2.((y2 y2)(y2 y2)))))((^z2.((z2 z2)(z2 z2)))(^x3.((x3 x3)(x3 x3)))))((^y3.((y3 y3)(y3 y3)))(^z3.((z3 z3)(z3 z3)))))((^x4.((x4 x4)(x4 x4)))(^y4.((y4 y4)(y4 y4)))))((^z4.((z4 z4)(z4 z4)))(^x5.((x5 x5)(x5 x5)))))((^y5.((y5 y5)(y5 y5)))(^z5.((z5 z5)(z5 z5)))))((^x6.((x6 x6)(x6 x6)))(^y6.((y6 y6)(y6 y6)))))((^z6.((z6 z6)(z6 z6)))(^x7.((x7 x7)(x7 x7)))))((^y7.((y7 y7)(y7 y7)))(^z7.((z7 z7)(z7 z7)))))((^x8.((x8 x8)(x8 x8)))(^y8.((y8 y8)(y8 y8)))))((^z8.((z8 z8)(z8 z8)))(^x9.((x9 x9)(x9 x9)))))((^y9.((y9 y9)(y9 y9)))(^z9.((z9 z9)(z9 z9)))))((^x10.((x10 x10)(x10 x10)))(^y10.((y10 y10)(y10 y10)))))(^z10.((z10 z10)(z10 z10)))) UNREDUCED: maximal number of reductions reached. ------ 112311/10816485. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((y y) y))) 3. ==[ beta ]==> (((^y.((y y) y))(^y.((y y) y)))((^y.((y y) y))(^y.((y y) y)))) 4. ==[ alpha ]==> (((^x.((x x) x))(^y.((y y) y)))((^z.((z z) z))(^x1.((x1 x1) x1)))) 5. ==[ beta ]==> ((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))((^z.((z z) z))(^x1.((x1 x1) x1)))) 6. ==[ alpha ]==> ((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))((^x1.((x1 x1) x1))(^y1.((y1 y1) y1)))) 7. ==[ beta ]==> (((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))((^x1.((x1 x1) x1))(^y1.((y1 y1) y1)))) 8. ==[ alpha ]==> (((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))((^y1.((y1 y1) y1))(^z1.((z1 z1) z1)))) 9. ==[ beta ]==> ((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))((^y1.((y1 y1) y1))(^z1.((z1 z1) z1)))) 10. ==[ alpha ]==> ((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))((^z1.((z1 z1) z1))(^x2.((x2 x2) x2)))) 11. ==[ beta ]==> (((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))((^z1.((z1 z1) z1))(^x2.((x2 x2) x2)))) 12. ==[ alpha ]==> (((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))((^x2.((x2 x2) x2))(^y2.((y2 y2) y2)))) 13. ==[ beta ]==> ((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))((^x2.((x2 x2) x2))(^y2.((y2 y2) y2)))) 14. ==[ alpha ]==> ((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))((^y2.((y2 y2) y2))(^z2.((z2 z2) z2)))) 15. ==[ beta ]==> (((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))((^y2.((y2 y2) y2))(^z2.((z2 z2) z2)))) 16. ==[ alpha ]==> (((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))((^z2.((z2 z2) z2))(^x3.((x3 x3) x3)))) 17. ==[ beta ]==> ((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))((^z2.((z2 z2) z2))(^x3.((x3 x3) x3)))) 18. ==[ alpha ]==> ((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))((^x3.((x3 x3) x3))(^y3.((y3 y3) y3)))) 19. ==[ beta ]==> (((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))((^x3.((x3 x3) x3))(^y3.((y3 y3) y3)))) 20. ==[ alpha ]==> (((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))((^y3.((y3 y3) y3))(^z3.((z3 z3) z3)))) 21. ==[ beta ]==> ((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))((^y3.((y3 y3) y3))(^z3.((z3 z3) z3)))) 22. ==[ alpha ]==> ((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))((^z3.((z3 z3) z3))(^x4.((x4 x4) x4)))) 23. ==[ beta ]==> (((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))((^z3.((z3 z3) z3))(^x4.((x4 x4) x4)))) 24. ==[ alpha ]==> (((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))((^x4.((x4 x4) x4))(^y4.((y4 y4) y4)))) 25. ==[ beta ]==> ((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))((^x4.((x4 x4) x4))(^y4.((y4 y4) y4)))) 26. ==[ alpha ]==> ((((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))((^y4.((y4 y4) y4))(^z4.((z4 z4) z4)))) 27. ==[ beta ]==> (((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))((^y4.((y4 y4) y4))(^z4.((z4 z4) z4)))) 28. ==[ alpha ]==> (((((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))((^z4.((z4 z4) z4))(^x5.((x5 x5) x5)))) 29. ==[ beta ]==> ((((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))((^z4.((z4 z4) z4))(^x5.((x5 x5) x5)))) 30. ==[ alpha ]==> ((((((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))((^x5.((x5 x5) x5))(^y5.((y5 y5) y5)))) 31. ==[ beta ]==> (((((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))((^x5.((x5 x5) x5))(^y5.((y5 y5) y5)))) 32. ==[ alpha ]==> (((((((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))(^x5.((x5 x5) x5)))((^y5.((y5 y5) y5))(^z5.((z5 z5) z5)))) 33. ==[ beta ]==> ((((((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))(^x5.((x5 x5) x5)))((^y5.((y5 y5) y5))(^z5.((z5 z5) z5)))) 34. ==[ alpha ]==> ((((((((((((((((((^x.((x x) x))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))(^x5.((x5 x5) x5)))(^y5.((y5 y5) y5)))((^z5.((z5 z5) z5))(^x6.((x6 x6) x6)))) 35. ==[ beta ]==> (((((((((((((((((((^y.((y y) y))(^y.((y y) y)))(^y.((y y) y)))(^z.((z z) z)))(^x1.((x1 x1) x1)))(^y1.((y1 y1) y1)))(^z1.((z1 z1) z1)))(^x2.((x2 x2) x2)))(^y2.((y2 y2) y2)))(^z2.((z2 z2) z2)))(^x3.((x3 x3) x3)))(^y3.((y3 y3) y3)))(^z3.((z3 z3) z3)))(^x4.((x4 x4) x4)))(^y4.((y4 y4) y4)))(^z4.((z4 z4) z4)))(^x5.((x5 x5) x5)))(^y5.((y5 y5) y5)))((^z5.((z5 z5) z5))(^x6.((x6 x6) x6)))) UNREDUCED: maximal number of reductions reached. ------ 112312/10818171. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 112313/10818195. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a))(a a))) 3. ==[ eta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 112314/10818465. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.y) a)(a (^z.(^x1.x1))))((((^y.y) a)(a (^z.(^x1.x1))))(((^y.y) a)(a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((((^x1.x1) a)(a (^y1.(^z1.z1))))(((^x2.x2) a)(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> ((a (a (^y.(^z.z))))((((^x1.x1) a)(a (^y1.(^z1.z1))))(((^x2.x2) a)(a (^y2.(^z2.z2)))))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((((^z.z) a)(a (^x1.(^y1.y1))))(((^z1.z1) a)(a (^x2.(^y2.y2)))))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a (^x1.(^y1.y1))))(((^z1.z1) a)(a (^x2.(^y2.y2)))))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a (^z.(^x1.x1))))(((^y1.y1) a)(a (^z1.(^x2.x2)))))) 9. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (a (^z.(^x1.x1))))(a (a (^z1.(^x2.x2)))))) 10. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a (^z.(^x1.x1))))(a (a (^y1.(^z1.z1)))))) REDUCED to normal form. ------ 112315/10818690. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112316/10819248. ------ 1. ==[ start ]==> ((^a.((a a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^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)))) REDUCED to normal form. ------ 112317/10819251. ------ 1. ==[ start ]==> ((a ((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((x x)(x x)))) REDUCED to normal form. ------ 112318/10819917. ------ 1. ==[ start ]==> ((((a a) a) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 112319/10820250. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^x.b)) REDUCED to normal form. ------ 112320/10820355. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(a a))(a (a a)))(((^z.z)(a a))(a (a a))))) 5. ==[ beta ]==> ((((^y.y)(a a))(a (a a)))(((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (a a)))) 9. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 112321/10820565. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 112322/10821456. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 112323/10822335. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 112324/10823211. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(a a))) REDUCED to normal form. ------ 112325/10823226. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112326/10823436. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y)(x x)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 112327/10823541. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112328/10823832. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a z))) 3. ==[ eta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 112329/10824021. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 112330/10824540. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a ((a a) a))) 3. ==[ beta ]==> (((a ((a a) a))(a ((a a) a)))((a ((a a) a))(a ((a a) a)))) REDUCED to normal form. ------ 112331/10824543. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((x x) x))) REDUCED to normal form. ------ 112332/10824822. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 112333/10824966. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 112334/10825209. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 112335/10825326. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(z (z z)))) REDUCED to normal form. ------ 112336/10825596. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 112337/10825620. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112338/10825902. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112339/10825950. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 112340/10826031. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.b))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.b))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 112341/10826058. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112342/10826085. ------ 1. ==[ start ]==> (((a a) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 112343/10826139. ------ 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.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 112344/10826166. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 112345/10826202. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 112346/10826229. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(a (b (^y.y)))) REDUCED to normal form. ------ 112347/10826256. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 112348/10826265. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.a)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.a)((^y.(a a)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 112349/10826292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) c)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 112350/10826445. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(a a))) REDUCED to normal form. ------ 112351/10826472. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 112352/10826499. ------ 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. ------ 112353/10826526. ------ 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. ------ 112354/10826616. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 112355/10826643. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 112356/10826652. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (^y.y))) REDUCED to normal form. ------ 112357/10826670. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 112358/10826679. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 112359/10826724. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 112360/10826751. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 112361/10826841. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 112362/10826886. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112363/10826913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 112364/10826967. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 112365/10826976. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(a a))(^y.y))) 3. ==[ beta ]==> (((a (a a)) b)(a a)) REDUCED to normal form. ------ 112366/10827003. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 112367/10827030. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^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. ------ 112368/10827084. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 112369/10827111. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 112370/10827138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.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. ------ 112371/10827282. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a a))(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a a))(b ((^y.y) b))) 5. ==[ beta ]==> ((a a)(b ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 112372/10827309. ------ 1. ==[ start ]==> ((a ((a a) a))(a ((a a)(a a)))) REDUCED to normal form. ------ 112373/10827345. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112374/10827624. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 112375/10827813. ------ 1. ==[ start ]==> (((^a.b) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.b)((a a) a))) 3. ==[ beta ]==> (b ((^y.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112376/10827831. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112377/10827975. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y) b)) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x) b)) 5. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 112378/10827993. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b) a)) 3. ==[ beta ]==> (b (((^z.z) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 112379/10828002. ------ 1. ==[ start ]==> (((a b) a)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 112380/10828020. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 112381/10828029. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 112382/10828047. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 112383/10828083. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112384/10828110. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 112385/10828137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.b)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112386/10828191. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 112387/10828281. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 112388/10828308. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(a ((^x.x) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a b)) REDUCED to normal form. ------ 112389/10828335. ------ 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.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(a a))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(a a))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 112390/10828362. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 112391/10828389. ------ 1. ==[ start ]==> (((a b)(a a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 112392/10828416. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 112393/10828596. ------ 1. ==[ start ]==> (((a b) b)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 112394/10828623. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a (^y.y))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 112395/10828641. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 112396/10828650. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1)))(a 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. ------ 112397/10828668. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 112398/10828722. ------ 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 y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.(z1 z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.(x1 x1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 11. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 12. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 13. ==[ beta ]==> ((a a)(^y.(y y))) 14. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 112399/10828731. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 112400/10828758. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.b)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((^y.b)((^z.z)(^x1.x1)))((^y.b)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1)))) 9. ==[ beta ]==> (b ((^x1.b)((^y1.y1)(^z1.z1)))) 10. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112401/10828785. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 112402/10828803. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 112403/10828812. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112404/10828839. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 112405/10829028. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 112406/10829460. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112407/10829514. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 112408/10830126. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a)) c)) 3. ==[ beta ]==> ((b a)((^y.(a a)) c)) 4. ==[ alpha ]==> ((b a)((^x.(a a)) c)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 112409/10830270. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c (^z.(a a)))) REDUCED to normal form. ------ 112410/10830297. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 112411/10830396. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)(^x1.a))) REDUCED to normal form. ------ 112412/10830855. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (b ((^x1.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 112413/10831071. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.y))) 9. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 112414/10831080. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 112415/10831107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(a (^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112416/10831152. ------ 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)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (b (^y.(y y))) 8. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 112417/10831161. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112418/10831188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 12. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 112419/10831215. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 112420/10831260. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 112421/10831269. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 112422/10831287. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 112423/10831467. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (a b))) 3. ==[ beta ]==> (((a b)(^y.y))(b (a b))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (a b))) REDUCED to normal form. ------ 112424/10831494. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 112425/10831521. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(a a))) REDUCED to normal form. ------ 112426/10831575. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 112427/10831602. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((a b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 112428/10831773. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 112429/10831881. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112430/10831890. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a b)) REDUCED to normal form. ------ 112431/10831917. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)(^z.z))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.z))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.y))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 112432/10831935. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y) b)(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a) b)) 5. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 112433/10831944. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 112434/10831971. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 112435/10832052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112436/10832079. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.b)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.b)) REDUCED to normal form. ------ 112437/10832097. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b) a)) 3. ==[ beta ]==> (b ((^y.b) a)) 4. ==[ alpha ]==> (b ((^x.b) a)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112438/10832241. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.a))) REDUCED to normal form. ------ 112439/10832574. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b (a a))(b (^y.y))) 6. ==[ alpha ]==> ((b (a a))(b (^x.x))) REDUCED to normal form. ------ 112440/10832601. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a ((a a) a))) REDUCED to normal form. ------ 112441/10832637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112442/10832772. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112443/10832880. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 112444/10832916. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 112445/10832943. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 112446/10832997. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 112447/10833024. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 112448/10833042. ------ 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))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 112449/10833105. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 112450/10833132. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.(y y)))) REDUCED to normal form. ------ 112451/10833186. ------ 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 x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 112452/10833231. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112453/10833240. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))((^z1.z1) 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. ------ 112454/10833267. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 112455/10833294. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 112456/10833357. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(b ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(b a)) REDUCED to normal form. ------ 112457/10833384. ------ 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. ------ 112458/10833411. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a (a a))(b a))(a (a a))) REDUCED to normal form. ------ 112459/10833438. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 112460/10833465. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a) a)) REDUCED to normal form. ------ 112461/10833546. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 112462/10833627. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 112463/10833654. ------ 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. ------ 112464/10833681. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 112465/10833771. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112466/10833852. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112467/10833960. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112468/10833986. ------ 1. ==[ start ]==> (^a.((^b.b)(^b.a))) 2. ==[ alpha ]==> (^x.((^y.y)(^z.x))) 3. ==[ beta ]==> (^x.(^z.x)) 4. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 112469/10833987. ------ 1. ==[ start ]==> (a ((^b.b)(^b.a))) 2. ==[ alpha ]==> (a ((^x.x)(^y.a))) 3. ==[ beta ]==> (a (^y.a)) 4. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 112470/10835367. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((^y.(^z.(a a)))(^y.(^z.(a a))))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.(a a)))(^z.(^x1.(a a))))(^y1.(^z1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^y1.(^z1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112471/10835700. ------ 1. ==[ start ]==> ((^a.(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 112472/10840659. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.a))) 3. ==[ beta ]==> (((^y.(^z.a))(^y.(^z.a)))((^y.(^z.a))(^y.(^z.a)))) 4. ==[ alpha ]==> (((^x.(^y.a))(^z.(^x1.a)))((^y1.(^z1.a))(^x2.(^y2.a)))) 5. ==[ beta ]==> ((^y.a)((^y1.(^z1.a))(^x2.(^y2.a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.a))(^x1.(^y1.a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112473/10842054. ------ 1. ==[ start ]==> ((^a.a)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 112474/10842081. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112475/10842189. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^z.b)(^x1.(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112476/10842306. ------ 1. ==[ start ]==> ((^a.(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))(c ((^z.z) b))) 3. ==[ beta ]==> (^y.(c ((^z.z) b))) 4. ==[ alpha ]==> (^x.(c ((^y.y) b))) 5. ==[ beta ]==> (^x.(c b)) REDUCED to normal form. ------ 112477/10842549. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a b)(a b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 112478/10842999. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112479/10843434. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.(a a)))) REDUCED to normal form. ------ 112480/10843764. ------ 1. ==[ start ]==> ((^a.(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))((a a)((^z.z) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 112481/10843767. ------ 1. ==[ start ]==> ((a (^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 112482/10843944. ------ 1. ==[ start ]==> ((^a.(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.b)((a a) a))) 3. ==[ beta ]==> (((^y.b)((a a) a)) b) 4. ==[ alpha ]==> (((^x.b)((a a) a)) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112483/10844100. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 112484/10844433. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 112485/10845054. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 112486/10845630. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(b a))) 3. ==[ beta ]==> (b (^z.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 112487/10845918. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(z a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(z a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y a))) REDUCED to normal form. ------ 112488/10845969. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112489/10846701. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 112490/10847619. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 112491/10848015. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.b))) REDUCED to normal form. ------ 112492/10848222. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(y b))) 3. ==[ beta ]==> (b (^y.(y b))) 4. ==[ alpha ]==> (b (^x.(x b))) REDUCED to normal form. ------ 112493/10848402. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 112494/10848564. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 112495/10848726. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.a))) REDUCED to normal form. ------ 112496/10849167. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^x.(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 112497/10849392. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 112498/10849509. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 112499/10849617. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 112500/10849779. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.a))) REDUCED to normal form. ------ 112501/10849803. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112502/10849977. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 112503/10850085. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(y1 y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112504/10850124. ------ 1. ==[ start ]==> ((a a)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 3. ==[ beta ]==> ((a a)(^y.a)) 4. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 112505/10850151. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 112506/10850232. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 112507/10850259. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 112508/10850376. ------ 1. ==[ start ]==> ((a (^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))(c ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.a))(c b)) REDUCED to normal form. ------ 112509/10850457. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.a)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a))(a a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 112510/10850484. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 112511/10850493. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) c)) 3. ==[ beta ]==> (((a (^x.x)) b) c) REDUCED to normal form. ------ 112512/10850538. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(a (a a)))) 5. ==[ beta ]==> (a ((b a)(a (a a)))) REDUCED to normal form. ------ 112513/10850565. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 112514/10850619. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 112515/10850727. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((((^y.y) a)(a (^z.(^x1.x1))))(((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a (^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 112516/10850754. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 112517/10850817. ------ 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. ------ 112518/10850844. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 112519/10850871. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 112520/10850898. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 112521/10850925. ------ 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. ------ 112522/10850961. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 112523/10850988. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.b)(a b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(a b))) 5. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 112524/10851033. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 112525/10851042. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 112526/10851069. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 112527/10851168. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a)) a)) REDUCED to normal form. ------ 112528/10851195. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) b)) 5. ==[ beta ]==> (a (((^y.y) b) b)) 6. ==[ alpha ]==> (a (((^x.x) b) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 112529/10851222. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) c)) REDUCED to normal form. ------ 112530/10851393. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 112531/10851447. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 112532/10851474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 112533/10851537. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 112534/10851591. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((b a)((^z.z) a))) 5. ==[ beta ]==> (a ((b a)((^z.z) a))) 6. ==[ alpha ]==> (a ((b a)((^x.x) a))) 7. ==[ beta ]==> (a ((b a) a)) REDUCED to normal form. ------ 112535/10851672. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((a b)((a a) a))) 3. ==[ beta ]==> (((a a) a)((a b)((a a) a))) REDUCED to normal form. ------ 112536/10851699. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 112537/10851753. ------ 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)((^y.y) a))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (a a))((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a (a a))((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 112538/10851834. ------ 1. ==[ start ]==> ((a (^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (^x.b))((a a) b)) REDUCED to normal form. ------ 112539/10851879. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 112540/10851906. ------ 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.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 112541/10851987. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 112542/10852005. ------ 1. ==[ start ]==> (((^a.b) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 112543/10852014. ------ 1. ==[ start ]==> ((a (a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (a b))((^x.b)((a a) a))) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 112544/10852167. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.x))) REDUCED to normal form. ------ 112545/10852194. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b) a)) 3. ==[ beta ]==> (((a b) a)(b a)) REDUCED to normal form. ------ 112546/10852221. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 112547/10852419. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a b))(^y.y)) 6. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 112548/10852473. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((a ((^y.y)(^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 (^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. ------ 112549/10852500. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)(^b.b))) 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. ------ 112550/10852617. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112551/10852644. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 112552/10852698. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(a b))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 9. ==[ beta ]==> ((^y.y)(a b)) 10. ==[ alpha ]==> ((^x.x)(a b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 112553/10852779. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (b ((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 112554/10852842. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 112555/10852869. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 112556/10852923. ------ 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 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. ------ 112557/10852950. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(^z.z)))) 7. ==[ beta ]==> (((a b)(^y.(^z.z)))((a b)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 112558/10852977. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 112559/10853004. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 112560/10853031. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 112561/10853067. ------ 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)(a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 112562/10853094. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 112563/10853121. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a ((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a ((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 112564/10853148. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 112565/10853220. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a)) d)) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(a a)) d)) 3. ==[ beta ]==> (b (((^y.y)(a a)) d)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) d)) 5. ==[ beta ]==> (b ((a a) d)) REDUCED to normal form. ------ 112566/10853229. ------ 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 z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 112567/10853256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 112568/10853454. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 112569/10853463. ------ 1. ==[ start ]==> (((a b) c)((^d.a) b)) 2. ==[ alpha ]==> (((a b) c)((^x.a) b)) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 112570/10853490. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 112571/10853535. ------ 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. ------ 112572/10853562. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 112573/10853616. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 112574/10853697. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 112575/10853733. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.z))) REDUCED to normal form. ------ 112576/10853760. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112577/10853796. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 112578/10853823. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 112579/10853850. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 112580/10853877. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 112581/10853904. ------ 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 y1))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a b))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(a b))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(a b))) 9. ==[ beta ]==> ((^y.(y y))(a b)) 10. ==[ alpha ]==> ((^x.(x x))(a b)) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 112582/10853931. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) a) REDUCED to normal form. ------ 112583/10853958. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 112584/10853985. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 112585/10854039. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 112586/10854210. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (b (c ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 112587/10854318. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> ((b a)((a a)(a (^y.y)))) 6. ==[ alpha ]==> ((b a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 112588/10854345. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y) a))) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 112589/10854399. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 9. ==[ beta ]==> (((a b)(a b))(^y.y)) 10. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 112590/10854480. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 112591/10854543. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 112592/10854606. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 112593/10854660. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 112594/10854687. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 112595/10854714. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a b))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 112596/10854741. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 112597/10854768. ------ 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. ------ 112598/10854822. ------ 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.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 112599/10854966. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (a b))) 5. ==[ beta ]==> ((a a)(c (a b))) REDUCED to normal form. ------ 112600/10855047. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 112601/10855155. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112602/10855182. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 112603/10855209. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 112604/10855272. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 112605/10855299. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a b)(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112606/10855353. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 112607/10855380. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (a a))(^b.(^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. ------ 112608/10855407. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.a))) REDUCED to normal form. ------ 112609/10855461. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 112610/10855497. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 112611/10855524. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 112612/10855578. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 112613/10855605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 112614/10855632. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 112615/10855659. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 112616/10855686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.(a a))) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 112617/10855758. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112618/10855803. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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. ------ 112619/10855830. ------ 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) a)((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1) a)((^x2.x2)(^y2.y2)))) 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. ------ 112620/10856082. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(^z.b))) REDUCED to normal form. ------ 112621/10856109. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b) a)) 3. ==[ beta ]==> ((b a)((a b) a)) REDUCED to normal form. ------ 112622/10856136. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) b)) REDUCED to normal form. ------ 112623/10856289. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (a b))) 3. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 112624/10856298. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) a)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 112625/10856325. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 112626/10856352. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1)) c)) 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. ------ 112627/10856397. ------ 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)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112628/10856469. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.b))) 3. ==[ beta ]==> (((a a) b)(a (^y.b))) 4. ==[ alpha ]==> (((a a) b)(a (^x.b))) REDUCED to normal form. ------ 112629/10856523. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 112630/10856550. ------ 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.z) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a ((^z.z) a))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a ((^y.y) a))) 7. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 112631/10856577. ------ 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.a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.a)(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 112632/10856604. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 112633/10856631. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a))((a a) a)) REDUCED to normal form. ------ 112634/10856685. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 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. ------ 112635/10856739. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 112636/10856766. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 112637/10856829. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112638/10857108. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((b b)((^y.y) a)) 6. ==[ alpha ]==> ((b b)((^x.x) a)) 7. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 112639/10857135. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a)) b)) REDUCED to normal form. ------ 112640/10857180. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) a))) 5. ==[ beta ]==> (c ((^y.y) a)) 6. ==[ alpha ]==> (c ((^x.x) a)) 7. ==[ beta ]==> (c a) REDUCED to normal form. ------ 112641/10857234. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.y))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.x))) REDUCED to normal form. ------ 112642/10857297. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 112643/10857315. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (b ((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 112644/10857378. ------ 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. ------ 112645/10857432. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.a))) REDUCED to normal form. ------ 112646/10857459. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 112647/10857486. ------ 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. ------ 112648/10857522. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 112649/10857549. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 112650/10857576. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^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. ------ 112651/10857657. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (^y.a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.a))) REDUCED to normal form. ------ 112652/10857684. ------ 1. ==[ start ]==> (((a b)(a b))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 112653/10857711. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a a))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 112654/10857738. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 112655/10857792. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 112656/10857819. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 112657/10857846. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.a)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.a)) REDUCED to normal form. ------ 112658/10857873. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.y))) REDUCED to normal form. ------ 112659/10857963. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b b)) 5. ==[ beta ]==> ((^y.(^z.z))(b b)) 6. ==[ alpha ]==> ((^x.(^y.y))(b b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112660/10858044. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 112661/10858152. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112662/10858187. ------ 1. ==[ start ]==> (^a.(((^a.a) b) c)) 2. ==[ alpha ]==> (^x.(((^y.y) b) c)) 3. ==[ beta ]==> (^x.(b c)) REDUCED to normal form. ------ 112663/10858188. ------ 1. ==[ start ]==> (a (((^a.a) b) c)) 2. ==[ alpha ]==> (a (((^x.x) b) c)) 3. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 112664/10863546. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112665/10866258. ------ 1. ==[ start ]==> ((((^a.a) b) c) a) 2. ==[ alpha ]==> ((((^x.x) b) c) a) 3. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 112666/10866264. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 3. ==[ beta ]==> (((^y.y) b) c) 4. ==[ alpha ]==> (((^x.x) b) c) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 112667/10866273. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112668/10866516. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.z))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 112669/10866933. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 112670/10867083. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112671/10867302. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(^y1.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 7. ==[ beta ]==> (^y.((a a)(a a))) 8. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 112672/10867974. ------ 1. ==[ start ]==> ((^a.(^a.b))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))(b (^z.z))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 112673/10868154. ------ 1. ==[ start ]==> ((^a.(a b))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)(^y.a))) 3. ==[ beta ]==> (((a b)(^y.a)) b) 4. ==[ alpha ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 112674/10868328. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.y))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112675/10868541. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(a a)))((^z.(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.(a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112676/10868976. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.(^b.b))) 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. ------ 112677/10869849. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(b a))) REDUCED to normal form. ------ 112678/10870179. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y)) b)) 3. ==[ eta ]==> (b (((a a)(^y.y)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 112679/10870416. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(b y))) 3. ==[ eta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 112680/10870659. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 112681/10870728. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 112682/10870911. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 112683/10871619. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112684/10871622. ------ 1. ==[ start ]==> ((a (^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 112685/10872432. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.y))) 3. ==[ beta ]==> (b (^y.(^z.y))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 112686/10872441. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y b))) REDUCED to normal form. ------ 112687/10872774. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.a))) REDUCED to normal form. ------ 112688/10873107. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 112689/10873377. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 112690/10874013. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112691/10874187. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 112692/10874295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112693/10874331. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.y)) 3. ==[ beta ]==> ((b c)(^y.y)) 4. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 112694/10874343. ------ 1. ==[ start ]==> ((a a)(((^a.a) b) c)) 2. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 3. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 112695/10874352. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 112696/10874379. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112697/10874487. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112698/10874568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112699/10874595. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 112700/10874631. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(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. ------ 112701/10874712. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (a (^y.y)))) REDUCED to normal form. ------ 112702/10874739. ------ 1. ==[ start ]==> ((((^a.a) a) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 112703/10874766. ------ 1. ==[ start ]==> (((a a)(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((b a)(a (a a)))) REDUCED to normal form. ------ 112704/10874793. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 112705/10874820. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 112706/10874928. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (a a))(b a))) 3. ==[ beta ]==> ((a a)((a (a a))(b a))) REDUCED to normal form. ------ 112707/10874973. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(c (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(c (^y.y))) 5. ==[ beta ]==> (c (^y.y)) 6. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 112708/10875009. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 112709/10875081. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^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. ------ 112710/10875162. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112711/10875207. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.b))) REDUCED to normal form. ------ 112712/10875234. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 112713/10875297. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112714/10875324. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.a)(a (^y1.(^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. ------ 112715/10875378. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 112716/10875432. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112717/10875459. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.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. ------ 112718/10875846. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (((a a)(^y.y))(a (a a)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 112719/10875873. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.x))) REDUCED to normal form. ------ 112720/10875927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a) a)(a b))) REDUCED to normal form. ------ 112721/10875954. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((^z.z)((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.(x x)))((^z.z)(a a))) 8. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(a a))) 9. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 112722/10875981. ------ 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. ------ 112723/10876008. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112724/10876035. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 112725/10876053. ------ 1. ==[ start ]==> ((a (^a.b))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.b))(b (^y.y))) REDUCED to normal form. ------ 112726/10876098. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 112727/10876125. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 112728/10876152. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a)(^y.a))) 3. ==[ beta ]==> (((a (a a)) a)((b a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) a)((b a)(^x.a))) REDUCED to normal form. ------ 112729/10876179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 112730/10876206. ------ 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)))) 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. ------ 112731/10876233. ------ 1. ==[ start ]==> ((a (a b))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (a b))((a b)(^x.a))) REDUCED to normal form. ------ 112732/10876242. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.b)((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.b)((^y.b)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112733/10876323. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(z z))((a a)(^x1.x1)))) IRREDUCIBLE: cycle. ------ 112734/10876404. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112735/10876431. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 112736/10876458. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112737/10876593. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112738/10876620. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 112739/10876746. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z) a)) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112740/10876773. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1))) b)) 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. ------ 112741/10876791. ------ 1. ==[ start ]==> (((^a.b) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((b a)(a (^y.y)))) 3. ==[ beta ]==> (b ((b a)(a (^y.y)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 112742/10876998. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (b (c (^x1.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 112743/10877007. ------ 1. ==[ start ]==> (((a b) b)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.x))(b a))) REDUCED to normal form. ------ 112744/10877034. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 112745/10877052. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 112746/10877079. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112747/10877214. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (b ((^z.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112748/10877340. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 112749/10877367. ------ 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.x1))) a)) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 112750/10877394. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a) b)) 5. ==[ beta ]==> ((a (a a))((b a) b)) REDUCED to normal form. ------ 112751/10877538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112752/10877682. ------ 1. ==[ start ]==> (((a b) c)((b a)(a a))) REDUCED to normal form. ------ 112753/10877709. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 112754/10877736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 112755/10877790. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.z))) REDUCED to normal form. ------ 112756/10877817. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)((a a) a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)((a a) a))) 7. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 112757/10877871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112758/10877898. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 112759/10877925. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(b a))) REDUCED to normal form. ------ 112760/10878015. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 112761/10878042. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 112762/10878069. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 112763/10878123. ------ 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)))((a (a a))(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.b))) 7. ==[ beta ]==> ((^y.y)((a (a a))(^z.b))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 9. ==[ beta ]==> ((a (a a))(^y.b)) 10. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 112764/10878150. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a (^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(a a)))) REDUCED to normal form. ------ 112765/10878177. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 112766/10878231. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a) a)) REDUCED to normal form. ------ 112767/10878258. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 112768/10878348. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112769/10878429. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112770/10878492. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (b a))) REDUCED to normal form. ------ 112771/10878600. ------ 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 (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 112772/10878627. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 8. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 112773/10878681. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 112774/10878699. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c (^y.(a a)))) 3. ==[ beta ]==> (b (c (^y.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 112775/10878708. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a (^y.y))(a a))) REDUCED to normal form. ------ 112776/10878735. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 112777/10878807. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 112778/10878825. ------ 1. ==[ start ]==> (((a a)(b a))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((a b)(^x.a))) REDUCED to normal form. ------ 112779/10878852. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 112780/10878879. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 10. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 112781/10878906. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 112782/10878933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> (((a a) a)(a (^y.b))) 8. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 112783/10878960. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 112784/10878987. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 112785/10879014. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y)) a)) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 112786/10879041. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a) b)) REDUCED to normal form. ------ 112787/10879185. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 112788/10879383. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.z))) REDUCED to normal form. ------ 112789/10879410. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 112790/10879428. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (^z.b))) 3. ==[ beta ]==> ((^y.y)(c (^z.b))) 4. ==[ alpha ]==> ((^x.x)(c (^y.b))) 5. ==[ beta ]==> (c (^y.b)) 6. ==[ alpha ]==> (c (^x.b)) REDUCED to normal form. ------ 112791/10879563. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112792/10879671. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 112793/10879698. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 112794/10879716. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a) a)) REDUCED to normal form. ------ 112795/10879743. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b) b)) REDUCED to normal form. ------ 112796/10879932. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 112797/10879977. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((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. ------ 112798/10880184. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112799/10880292. ------ 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.(^x2.x2))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((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. ------ 112800/10880346. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.z))) 5. ==[ beta ]==> (b ((^y.b)(^z.z))) 6. ==[ alpha ]==> (b ((^x.b)(^y.y))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112801/10880427. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 112802/10880463. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(c ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(c ((^y.y)(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112803/10880490. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b ((a a) a))) REDUCED to normal form. ------ 112804/10880508. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(^z.b))) 3. ==[ beta ]==> (b ((^y.y)(^z.b))) 4. ==[ alpha ]==> (b ((^x.x)(^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 112805/10880517. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a b))) REDUCED to normal form. ------ 112806/10880544. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 112807/10880571. ------ 1. ==[ start ]==> ((((a 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 (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 112808/10880625. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a (a a)))) REDUCED to normal form. ------ 112809/10880652. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((a (^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 112810/10880715. ------ 1. ==[ start ]==> (((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.x1))) REDUCED to normal form. ------ 112811/10880742. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a (b a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (b a))(^x.(^y.y))) REDUCED to normal form. ------ 112812/10880769. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (a a))(^y.a))) REDUCED to normal form. ------ 112813/10880796. ------ 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) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(z z)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(y y)))) 9. ==[ beta ]==> ((a a)(a (^y.(y y)))) 10. ==[ alpha ]==> ((a a)(a (^x.(x x)))) REDUCED to normal form. ------ 112814/10880823. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 112815/10880850. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 112816/10880877. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 112817/10880904. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 112818/10881183. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 112819/10881291. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112820/10881372. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 112821/10881399. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112822/10881408. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(c a)) REDUCED to normal form. ------ 112823/10881435. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (a (a a)))) REDUCED to normal form. ------ 112824/10881453. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 112825/10881516. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 112826/10881534. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 112827/10881543. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 112828/10881642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112829/10881651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c c)) REDUCED to normal form. ------ 112830/10881741. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a) b)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a b)) REDUCED to normal form. ------ 112831/10881768. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z)) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z)) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y)) c)) REDUCED to normal form. ------ 112832/10881822. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x)) a)) 3. ==[ beta ]==> (((a (a a))(b a))(a a)) REDUCED to normal form. ------ 112833/10881849. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) b)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) b)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 112834/10881930. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.y))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 112835/10881957. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112836/10882011. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 112837/10882038. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 112838/10882092. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a) a)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 112839/10882182. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112840/10882263. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 112841/10882371. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112842/10882407. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(a a)) 3. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 112843/10882743. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(b (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 112844/10887774. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112845/10890168. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(b (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.z)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112846/10890486. ------ 1. ==[ start ]==> ((((^a.a) b) c) b) 2. ==[ alpha ]==> ((((^x.x) b) c) b) 3. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 112847/10890510. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112848/10890825. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(a (b (^z.z)))) 3. ==[ eta ]==> ((^y.y)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 112849/10890828. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 112850/10891095. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (a a))(b a))) 3. ==[ beta ]==> (((a (a a))(b a))(((a (a a))(b a))((a (a a))(b a)))) REDUCED to normal form. ------ 112851/10891320. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 112852/10891548. ------ 1. ==[ start ]==> (((a (a a)) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 112853/10891878. ------ 1. ==[ start ]==> ((^a.((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))(b ((^y.y) b))) 3. ==[ beta ]==> (((b ((^y.y) b))(b ((^y.y) b)))(b ((^y.y) b))) 4. ==[ alpha ]==> (((b ((^x.x) b))(b ((^y.y) b)))(b ((^z.z) b))) 5. ==[ beta ]==> (((b b)(b ((^y.y) b)))(b ((^z.z) b))) 6. ==[ alpha ]==> (((b b)(b ((^x.x) b)))(b ((^y.y) b))) 7. ==[ beta ]==> (((b b)(b b))(b ((^y.y) b))) 8. ==[ alpha ]==> (((b b)(b b))(b ((^x.x) b))) 9. ==[ beta ]==> (((b b)(b b))(b b)) REDUCED to normal form. ------ 112854/10892565. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 112855/10892574. ------ 1. ==[ start ]==> (((a b) a)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 112856/10892907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> (((^y.y) a)(^z.((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.x) a)(^y.((^z.z) b))) 7. ==[ beta ]==> (a (^y.((^z.z) b))) 8. ==[ alpha ]==> (a (^x.((^y.y) b))) 9. ==[ beta ]==> (a (^x.b)) REDUCED to normal form. ------ 112857/10892985. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((((a a)(^z.z))((^x1.x1) a))(((a a)(^z.z))((^x1.x1) a)))) 4. ==[ alpha ]==> ((^x.x)((((a a)(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a)))) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 112858/10893222. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 112859/10894113. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 112860/10894965. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 112861/10895652. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 112862/10895856. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112863/10895859. ------ 1. ==[ start ]==> ((a (^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 112864/10896093. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 112865/10896171. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112866/10896489. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) b) a) a) 4. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 112867/10896678. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.y))) REDUCED to normal form. ------ 112868/10896849. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.((a a) a))) 3. ==[ beta ]==> (((a a) b)(^y.((a a) a))) 4. ==[ alpha ]==> (((a a) b)(^x.((a a) a))) REDUCED to normal form. ------ 112869/10897170. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b ((^y.y)(^z.z)))(b ((^y.y)(^z.z))))((b ((^y.y)(^z.z)))(b ((^y.y)(^z.z))))) 4. ==[ alpha ]==> (((b ((^x.x)(^y.y)))(b ((^z.z)(^x1.x1))))((b ((^y1.y1)(^z1.z1)))(b ((^x2.x2)(^y2.y2))))) 5. ==[ beta ]==> (((b (^y.y))(b ((^z.z)(^x1.x1))))((b ((^y1.y1)(^z1.z1)))(b ((^x2.x2)(^y2.y2))))) 6. ==[ alpha ]==> (((b (^x.x))(b ((^y.y)(^z.z))))((b ((^x1.x1)(^y1.y1)))(b ((^z1.z1)(^x2.x2))))) 7. ==[ beta ]==> (((b (^x.x))(b (^z.z)))((b ((^x1.x1)(^y1.y1)))(b ((^z1.z1)(^x2.x2))))) 8. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))((b ((^z.z)(^x1.x1)))(b ((^y1.y1)(^z1.z1))))) 9. ==[ beta ]==> (((b (^x.x))(b (^y.y)))((b (^x1.x1))(b ((^y1.y1)(^z1.z1))))) 10. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))((b (^z.z))(b ((^x1.x1)(^y1.y1))))) 11. ==[ beta ]==> (((b (^x.x))(b (^y.y)))((b (^z.z))(b (^y1.y1)))) 12. ==[ alpha ]==> (((b (^x.x))(b (^y.y)))((b (^z.z))(b (^x1.x1)))) REDUCED to normal form. ------ 112870/10897488. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 112871/10897758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 112872/10897866. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 112873/10897983. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(x (x x)))) REDUCED to normal form. ------ 112874/10898064. ------ 1. ==[ start ]==> (((a b)(a b))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 112875/10898250. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112876/10898253. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 112877/10898424. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 112878/10898568. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.z))) 3. ==[ beta ]==> ((b c)(^y.(^z.z))) 4. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 112879/10898598. ------ 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. ------ 112880/10898607. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.a))) 3. ==[ beta ]==> (a ((^y.y)(^z.a))) 4. ==[ alpha ]==> (a ((^x.x)(^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 112881/10898634. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 112882/10898688. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112883/10898715. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112884/10898742. ------ 1. ==[ start ]==> (((a a) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 112885/10898823. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 112886/10898877. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112887/10898886. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 112888/10898913. ------ 1. ==[ start ]==> ((a ((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(a (b (^y.y)))) 3. ==[ beta ]==> ((a a)(a (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 112889/10899102. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(a b))) 3. ==[ beta ]==> (((a a) a)((a b)(a b))) REDUCED to normal form. ------ 112890/10899129. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 112891/10899156. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^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. ------ 112892/10899183. ------ 1. ==[ start ]==> ((a (a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 112893/10899255. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b (^y.(a a)))) 3. ==[ beta ]==> ((a b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 112894/10899300. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((a (a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 112895/10899327. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^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. ------ 112896/10899336. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (^z.z))) REDUCED to normal form. ------ 112897/10899363. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 112898/10899381. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 112899/10899408. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112900/10899498. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 112901/10899570. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(^y1.(^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. ------ 112902/10899633. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(a a))) REDUCED to normal form. ------ 112903/10899678. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 7. ==[ beta ]==> (((^y.y) b) b) 8. ==[ alpha ]==> (((^x.x) b) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 112904/10899687. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 112905/10899714. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 112906/10899795. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((^y.(a a))(^z.a)) 8. ==[ alpha ]==> ((^x.(a a))(^y.a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112907/10899966. ------ 1. ==[ start ]==> ((a ((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))(b ((^x.x) b))) 3. ==[ beta ]==> ((a ((a a) a))(b b)) REDUCED to normal form. ------ 112908/10900002. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^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) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112909/10900056. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1))) c)) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1))) c)) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z))) c)) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 112910/10900317. ------ 1. ==[ start ]==> (((a a)((a a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)((a a) a))((a a)((^x.x) b))) 3. ==[ beta ]==> (((a a)((a a) a))((a a) b)) REDUCED to normal form. ------ 112911/10900470. ------ 1. ==[ start ]==> (((^a.b) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 112912/10900488. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.b)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.b)((a b)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 112913/10900632. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 112914/10900650. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 112915/10900659. ------ 1. ==[ start ]==> (((a b) a)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a b) a)((^y.y) b)) 4. ==[ alpha ]==> (((a b) a)((^x.x) b)) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 112916/10900677. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b) a)) 3. ==[ beta ]==> ((a b)(((^y.y) b) a)) 4. ==[ alpha ]==> ((a b)(((^x.x) b) a)) 5. ==[ beta ]==> ((a b)(b a)) REDUCED to normal form. ------ 112917/10900686. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 112918/10900704. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 112919/10900794. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112920/10900821. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 112921/10900848. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 112922/10900965. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 112923/10900992. ------ 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. ------ 112924/10901019. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 112925/10901046. ------ 1. ==[ start ]==> (((a b)(a a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 112926/10901073. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 112927/10901082. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z)) d)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112928/10901253. ------ 1. ==[ start ]==> (((a b) b)(c (^d.a))) 2. ==[ alpha ]==> (((a b) b)(c (^x.a))) REDUCED to normal form. ------ 112929/10901280. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 112930/10901307. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 112931/10901325. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112932/10901334. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1)))(a 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. ------ 112933/10901379. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.a))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 11. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 12. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 112934/10901388. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^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. ------ 112935/10901415. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a (a a)))) 7. ==[ beta ]==> (((^y.(a a))(a (a a)))((^y.(a a))(a (a a)))) 8. ==[ alpha ]==> (((^x.(a a))(a (a a)))((^y.(a a))(a (a a)))) 9. ==[ beta ]==> ((a a)((^y.(a a))(a (a a)))) 10. ==[ alpha ]==> ((a a)((^x.(a a))(a (a a)))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 112936/10901442. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a)) b) REDUCED to normal form. ------ 112937/10901460. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (b (((a a) a)(^z.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 112938/10901469. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 112939/10901496. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 112940/10901685. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112941/10901919. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 112942/10902198. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 112943/10902783. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b a)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b a)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 112944/10902810. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) c)) 5. ==[ beta ]==> ((^y.(a a)) c) 6. ==[ alpha ]==> ((^x.(a a)) c) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112945/10902954. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c (^y.(a a)))) REDUCED to normal form. ------ 112946/10902981. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 112947/10903053. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 112948/10903332. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112949/10903512. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 112950/10903737. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 112951/10903764. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(a a))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 112952/10903809. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> (b (((a a) a)(^x1.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 112953/10903818. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 112954/10903845. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 112955/10903872. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 112956/10903917. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 112957/10903926. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 112958/10903944. ------ 1. ==[ start ]==> ((a (^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 112959/10904124. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c ((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c ((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))(c ((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(c ((a a) a))) REDUCED to normal form. ------ 112960/10904151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (a b))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a b))) REDUCED to normal form. ------ 112961/10904178. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 112962/10904232. ------ 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)(a (^z.z)))) REDUCED to normal form. ------ 112963/10904259. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 7. ==[ beta ]==> ((a b)((^y.y) a)) 8. ==[ alpha ]==> ((a b)((^x.x) a)) 9. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 112964/10904430. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 112965/10904547. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 112966/10904574. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(a b))) 3. ==[ beta ]==> ((b a)((^y.y)(a b))) 4. ==[ alpha ]==> ((b a)((^x.x)(a b))) 5. ==[ beta ]==> ((b a)(a b)) REDUCED to normal form. ------ 112967/10904592. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b) a)) 3. ==[ beta ]==> (((^y.y) b)((a b) a)) 4. ==[ alpha ]==> (((^x.x) b)((a b) a)) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 112968/10904601. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 112969/10904619. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a) b)) 3. ==[ beta ]==> ((^y.y)(((a a) a) b)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 112970/10904709. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 112971/10904736. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 112972/10904763. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.b)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.b)) REDUCED to normal form. ------ 112973/10904898. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.(^z.z)))) REDUCED to normal form. ------ 112974/10904934. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)((a a) a))) 3. ==[ beta ]==> (((a a) b)((a a)((a a) a))) REDUCED to normal form. ------ 112975/10905231. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (a (a a)))) 3. ==[ beta ]==> ((b (a a))(c (a (a a)))) REDUCED to normal form. ------ 112976/10905258. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(b (^y.y))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.x))) REDUCED to normal form. ------ 112977/10905294. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a) a)) 3. ==[ beta ]==> ((^y.y)((^x1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 112978/10905537. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112979/10905573. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 112980/10905600. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(^a.a))) 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. ------ 112981/10905618. ------ 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. ------ 112982/10905645. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) c)) 5. ==[ beta ]==> (((^y.y) a) c) 6. ==[ alpha ]==> (((^x.x) a) c) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 112983/10905654. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 112984/10905681. ------ 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.(x2 x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 112985/10905780. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 112986/10905789. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 112987/10905843. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 112988/10905888. ------ 1. ==[ start ]==> (((^a.(^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.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 112989/10905897. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 112990/10905924. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 112991/10905951. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (a a))) REDUCED to normal form. ------ 112992/10906014. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (a (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (a (^y.y)))) REDUCED to normal form. ------ 112993/10906041. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b ((^z.z) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(b a)) REDUCED to normal form. ------ 112994/10906068. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (a (a a)))) REDUCED to normal form. ------ 112995/10906095. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a a))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 112996/10906122. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 112997/10906149. ------ 1. ==[ start ]==> (((a b)(a b))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((a a)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a b))((a a) a)) REDUCED to normal form. ------ 112998/10906284. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (a a))) REDUCED to normal form. ------ 112999/10906311. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 113000/10906338. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a ((^y.y) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 113001/10906428. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113002/10906509. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 113003/10906617. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113004/10906653. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.y))) 3. ==[ beta ]==> ((b c)(a (^y.y))) 4. ==[ alpha ]==> ((b c)(a (^x.x))) REDUCED to normal form. ------ 113005/10914423. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113006/10914741. ------ 1. ==[ start ]==> ((((^a.a) b) c) c) 2. ==[ alpha ]==> ((((^x.x) b) c) c) 3. ==[ beta ]==> ((b c) c) REDUCED to normal form. ------ 113007/10914792. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^y.y)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 113008/10914819. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 113009/10914900. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^z.(a a))(^x1.b))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(^y.b))(^z.z)) 5. ==[ beta ]==> ((a a)(^z.z)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 113010/10915101. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(b (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 113011/10915260. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 113012/10915710. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113013/10915812. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 113014/10916142. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.x1))((^y.(^z.z))(^x1.x1)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1)))((^x2.(^y2.y2))(^z2.z2))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(^z1.z1)))((^x2.(^y2.y2))(^z2.z2))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.x1))((^y1.(^z1.z1))(^x2.x2))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113015/10916181. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 113016/10916475. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 113017/10916655. ------ 1. ==[ start ]==> ((^a.(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> (((^x.(a a))((^y.y)(^z.z))) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 113018/10916838. ------ 1. ==[ start ]==> (((a b) a)(^c.(^b.b))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 113019/10917171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 113020/10917792. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 113021/10917924. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^z.b)(^x1.(^y1.y1)))((^z.b)(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((b ((^x1.b)(^y1.(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((b ((^x.b)(^y.(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((b b)(^x1.x1)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 113022/10918098. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 113023/10918656. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y a))) REDUCED to normal form. ------ 113024/10919439. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 113025/10919517. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^x1.b)(^y1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113026/10919691. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 113027/10920141. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^z.(a a))) REDUCED to normal form. ------ 113028/10920357. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(a a)))) REDUCED to normal form. ------ 113029/10920753. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.b))) 3. ==[ beta ]==> ((b a)(^y.(^z.b))) 4. ==[ alpha ]==> ((b a)(^x.(^y.b))) REDUCED to normal form. ------ 113030/10921140. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.b))) REDUCED to normal form. ------ 113031/10921302. ------ 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.((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a) a))) REDUCED to normal form. ------ 113032/10921434. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 9. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113033/10921473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 113034/10921608. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113035/10921752. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113036/10922247. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 113037/10922355. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 113038/10922436. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.a)) REDUCED to normal form. ------ 113039/10922514. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113040/10922517. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 113041/10922796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113042/10922832. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.a)) 3. ==[ beta ]==> ((b c)(^y.a)) 4. ==[ alpha ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 113043/10922880. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) c)) 3. ==[ beta ]==> (a (((^y.y) b) c)) 4. ==[ alpha ]==> (a (((^x.x) b) c)) 5. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 113044/10922889. ------ 1. ==[ start ]==> ((a (a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a (a a))(^y.a)) 4. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 113045/10922916. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 113046/10922997. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 113047/10923132. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 113048/10923195. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.a)(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.a)(a (b (^y.y)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 113049/10923222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 113050/10923231. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 113051/10923258. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y) c)) 3. ==[ beta ]==> ((a a)((^y.y) c)) 4. ==[ alpha ]==> ((a a)((^x.x) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 113052/10923276. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))((^z.z) a))) 7. ==[ beta ]==> (a ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 113053/10923303. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((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. ------ 113054/10923357. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 113055/10923465. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.(y y))((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.(x x))((a (a a))(b a))) 5. ==[ beta ]==> (((a (a a))(b a))((a (a a))(b a))) REDUCED to normal form. ------ 113056/10923492. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 113057/10923546. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 113058/10923582. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 113059/10923609. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 113060/10923636. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 113061/10923663. ------ 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. ------ 113062/10923726. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 113063/10923753. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)(a b))) 5. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 113064/10923771. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> ((b b)(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> ((b b)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 113065/10923807. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 113066/10923906. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 113067/10923933. ------ 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. ------ 113068/10923960. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 113069/10924104. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 113070/10924158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 113071/10924212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 113072/10924239. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 113073/10924275. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 113074/10924329. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 113075/10924410. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a) a)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.y))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.x))) REDUCED to normal form. ------ 113076/10924437. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 113077/10924491. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> ((a a)((^y.y)((^z.z)(a a)))) 10. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(a a)))) 11. ==[ beta ]==> ((a a)((^y.y)(a a))) 12. ==[ alpha ]==> ((a a)((^x.x)(a a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 113078/10924572. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 113079/10924590. ------ 1. ==[ start ]==> (((a a)((a a) a))(b (^b.b))) 2. ==[ alpha ]==> (((a a)((a a) a))(b (^x.x))) REDUCED to normal form. ------ 113080/10924644. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b)(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. ------ 113081/10924671. ------ 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.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 113082/10924743. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 113083/10924752. ------ 1. ==[ start ]==> ((a (a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 113084/10924905. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113085/10924932. ------ 1. ==[ start ]==> (((a b) a)((a a)(^b.b))) 2. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 113086/10924959. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b) a)) 3. ==[ beta ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 113087/10925013. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 113088/10925157. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 113089/10925238. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 113090/10925265. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 113091/10925310. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113092/10925355. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(a a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(a a))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 113093/10925382. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 113094/10925436. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 113095/10925517. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (((^x1.x1) a)((a a)(^y1.y1)))) 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. ------ 113096/10925571. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a a))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a a)(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 113097/10925607. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 113098/10925661. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 113099/10925688. ------ 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 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.(z z)))) 7. ==[ beta ]==> ((((^y.y)(a a))(^z.(z z)))(((^y.y)(a a))(^z.(z z)))) 8. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 9. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1)))) 10. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z)))) 11. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.(z z)))) 12. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 113100/10925715. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 113101/10925742. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 113102/10925769. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 113103/10925805. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 113104/10925832. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 113105/10925859. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 113106/10925886. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 113107/10925913. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 113108/10925958. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 113109/10925967. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 113110/10925994. ------ 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 z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 113111/10926021. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 113112/10926192. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 113113/10926201. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z))) a)) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 113114/10926273. ------ 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. ------ 113115/10926300. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 113116/10926354. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 113117/10926435. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 113118/10926498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a)(^z.z))) REDUCED to normal form. ------ 113119/10926561. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 113120/10926588. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((a (a b))((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(a (a a)))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 113121/10926642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 9. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 10. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113122/10926669. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(a b))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 113123/10926696. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 113124/10926723. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 113125/10926750. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(b a)) REDUCED to normal form. ------ 113126/10927056. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 113127/10927083. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.y))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 113128/10927137. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 113129/10927218. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (b (((^y.y) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 113130/10927344. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 113131/10927371. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 113132/10927425. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 113133/10927452. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 113134/10927479. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 113135/10927506. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 113136/10927533. ------ 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. ------ 113137/10927605. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113138/10927614. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 113139/10927785. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 113140/10927893. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113141/10927920. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (a a))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 113142/10927947. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((a a) a)) 6. ==[ alpha ]==> (((^x.x) a)((a a) a)) 7. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 113143/10928001. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 113144/10928037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113145/10928091. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 113146/10928118. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(y y))) REDUCED to normal form. ------ 113147/10928145. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113148/10928199. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(^y1.b))) REDUCED to normal form. ------ 113149/10928235. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a a))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 113150/10928262. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 113151/10928289. ------ 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.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 113152/10928343. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 113153/10928370. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 113154/10928397. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 113155/10928424. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 113156/10928451. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 113157/10928496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113158/10928541. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^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. ------ 113159/10928568. ------ 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))(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. ------ 113160/10928820. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 113161/10928847. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(^y.b))) 3. ==[ beta ]==> ((b a)((a a)(^y.b))) 4. ==[ alpha ]==> ((b a)((a a)(^x.b))) REDUCED to normal form. ------ 113162/10928874. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 113163/10928901. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a) b)) REDUCED to normal form. ------ 113164/10929027. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b ((a a) a))) 3. ==[ beta ]==> (b (b ((a a) a))) REDUCED to normal form. ------ 113165/10929063. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 113166/10929135. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113167/10929207. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.a))) 3. ==[ beta ]==> (((a a) b)(b (^y.a))) 4. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 113168/10929234. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 113169/10929261. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(a a))) 3. ==[ beta ]==> ((a (b a))((^y.a)(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(a a))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 113170/10929288. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(a (^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. ------ 113171/10929315. ------ 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.y1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> ((a a)((^y.(y y))((^z.z) a))) 8. ==[ alpha ]==> ((a a)((^x.(x x))((^y.y) a))) 9. ==[ beta ]==> ((a a)(((^y.y) a)((^y.y) a))) 10. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) a))) 11. ==[ beta ]==> ((a a)(a ((^y.y) a))) 12. ==[ alpha ]==> ((a a)(a ((^x.x) a))) 13. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 113172/10929342. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 113173/10929369. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 113174/10929396. ------ 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)(^y.y))((^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. ------ 113175/10929477. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.a)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 113176/10929504. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 113177/10929531. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 113178/10929567. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a ((a a) a))) 3. ==[ beta ]==> ((^y.y)(a ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(a ((a a) a))) 5. ==[ beta ]==> (a ((a a) a)) REDUCED to normal form. ------ 113179/10929702. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 113180/10929810. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c d)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c d)) 3. ==[ beta ]==> ((^y.(^z.z))(c d)) 4. ==[ alpha ]==> ((^x.(^y.y))(c d)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113181/10929846. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 113182/10929873. ------ 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. ------ 113183/10929927. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a c)) REDUCED to normal form. ------ 113184/10929972. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (a (a a)))) 3. ==[ beta ]==> (((b a)(b a))(b (a (a a)))) REDUCED to normal form. ------ 113185/10930035. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(b b)) REDUCED to normal form. ------ 113186/10930053. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (^y.y)))) 5. ==[ beta ]==> (b (a (a (^y.y)))) 6. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 113187/10930062. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 113188/10930170. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 113189/10930197. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 113190/10930224. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 113191/10930260. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 113192/10930287. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 113193/10930314. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 113194/10930341. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.(y y))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(x x))) REDUCED to normal form. ------ 113195/10930422. ------ 1. ==[ start ]==> (((a b)(a b))(b (^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.a))) REDUCED to normal form. ------ 113196/10930449. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 113197/10930476. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 113198/10930530. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) 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. ------ 113199/10930557. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 113200/10930584. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 113201/10930611. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.a)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 113202/10930782. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 113203/10930890. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113204/10930926. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y) a)) 3. ==[ beta ]==> ((b c)((^y.y) a)) 4. ==[ alpha ]==> ((b c)((^x.x) a)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 113205/10930952. ------ 1. ==[ start ]==> (^a.(((a a)(a a)) b)) 2. ==[ alpha ]==> (^x.(((x x)(x x)) b)) REDUCED to normal form. ------ 113206/10930953. ------ 1. ==[ start ]==> (a (((a a)(a a)) b)) REDUCED to normal form. ------ 113207/10938705. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.z)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113208/10939023. ------ 1. ==[ start ]==> ((((^a.a) b) c) d) 2. ==[ alpha ]==> ((((^x.x) b) c) d) 3. ==[ beta ]==> ((b c) d) REDUCED to normal form. ------ 113209/10939050. ------ 1. ==[ start ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 113210/10939056. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 113211/10939083. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b) c)) 3. ==[ beta ]==> ((((^y.y) b) c)(((^y.y) b) c)) 4. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) b) c)) 5. ==[ beta ]==> ((b c)(((^y.y) b) c)) 6. ==[ alpha ]==> ((b c)(((^x.x) b) c)) 7. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 113212/10939308. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^x.((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> (^x.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 113213/10940472. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(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. ------ 113214/10940766. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 113215/10940946. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.(^x1.x1))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z))) b) 5. ==[ beta ]==> (((a a)(^y.(^z.z))) b) 6. ==[ alpha ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 113216/10941147. ------ 1. ==[ start ]==> (((^a.a)(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.x)(a b))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 113217/10941333. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.a)(^x1.b))((^z.a)(^x1.b)))) 4. ==[ alpha ]==> (^x.(((^y.a)(^z.b))((^x1.a)(^y1.b)))) 5. ==[ beta ]==> (^x.(a ((^x1.a)(^y1.b)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(^z.b)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 113218/10941777. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 113219/10941795. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113220/10942389. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113221/10942398. ------ 1. ==[ start ]==> (((a b) c)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 113222/10942971. ------ 1. ==[ start ]==> ((^a.(b a))((b a) a)) 2. ==[ alpha ]==> ((^x.(b x))((b a) a)) 3. ==[ eta ]==> (b ((b a) a)) REDUCED to normal form. ------ 113223/10943808. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b) c)) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 113224/10943982. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113225/10944207. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 113226/10944411. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113227/10944726. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113228/10945062. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a z))) 3. ==[ eta ]==> (((^x.x)((^y.y) b)) a) 4. ==[ beta ]==> (((^y.y) b) a) 5. ==[ alpha ]==> (((^x.x) b) a) 6. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113229/10945233. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((a a) a))) REDUCED to normal form. ------ 113230/10945260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z b))) REDUCED to normal form. ------ 113231/10945764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 113232/10946313. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(a (a a)))) REDUCED to normal form. ------ 113233/10946538. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.d)) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.d)) REDUCED to normal form. ------ 113234/10946805. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113235/10946808. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 113236/10946898. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113237/10947087. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113238/10947123. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(y y))) 3. ==[ beta ]==> ((b c)(^y.(y y))) 4. ==[ alpha ]==> ((b c)(^x.(x x))) REDUCED to normal form. ------ 113239/10947150. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 113240/10947162. ------ 1. ==[ start ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 113241/10947189. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b) c)) 3. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 113242/10947198. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 113243/10947225. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 113244/10947306. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113245/10947333. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113246/10947414. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.a))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 113247/10947450. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(c ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(c ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) b))) 5. ==[ beta ]==> (c ((^y.y) b)) 6. ==[ alpha ]==> (c ((^x.x) b)) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 113248/10947531. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 113249/10947558. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 113250/10947585. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 113251/10947612. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)(a (a a)))) REDUCED to normal form. ------ 113252/10947639. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 113253/10947747. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(^z.z))((a 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. ------ 113254/10947828. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a b)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a b)((a (^x.x)) b)) REDUCED to normal form. ------ 113255/10947846. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 113256/10947855. ------ 1. ==[ start ]==> (((a (a a)) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 113257/10947954. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 113258/10947999. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 113259/10948053. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.b))) REDUCED to normal form. ------ 113260/10948080. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 113261/10948116. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113262/10948143. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 113263/10948197. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113264/10948278. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113265/10948575. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(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. ------ 113266/10948665. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y) b)((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x) b)((b a)((^y.y) a))) 5. ==[ beta ]==> (b ((b a)((^y.y) a))) 6. ==[ alpha ]==> (b ((b a)((^x.x) a))) 7. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 113267/10948692. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 113268/10948746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a b)((a a) a))) REDUCED to normal form. ------ 113269/10948773. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a) a)(a b))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a) a)(a b))) REDUCED to normal form. ------ 113270/10948800. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.a))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(a a))) 7. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 113271/10948827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113272/10948854. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a (b a))) REDUCED to normal form. ------ 113273/10948872. ------ 1. ==[ start ]==> ((a (^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113274/10948944. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((a (a (a a)))(b (^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 113275/10948971. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113276/10948998. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 113277/10949025. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 113278/10949052. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 113279/10949061. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113280/10949142. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1)(a a)))) IRREDUCIBLE: cycle. ------ 113281/10949223. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113282/10949250. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z) b))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y) b))) 5. ==[ beta ]==> ((a b)((^y.y) b)) 6. ==[ alpha ]==> ((a b)((^x.x) b)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 113283/10949277. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113284/10949412. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113285/10949439. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 113286/10949592. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 113287/10949610. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 113288/10949619. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 113289/10949826. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x) a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) b)(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 113290/10949853. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a) a)((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 113291/10949871. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)(b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 113292/10949880. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 113293/10949898. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a (^z.z))) 3. ==[ beta ]==> ((^y.y)(a (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 113294/10950033. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113295/10950105. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 113296/10950132. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 113297/10950186. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113298/10950213. ------ 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.x1))) a)) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z))) a)) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 113299/10950240. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((b a) b)) 3. ==[ beta ]==> ((((a a) a) a)((b a) b)) REDUCED to normal form. ------ 113300/10950267. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 113301/10950357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 113302/10950492. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113303/10950501. ------ 1. ==[ start ]==> (((a b) c)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 113304/10950528. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a)(a a))) 3. ==[ beta ]==> (((a a) b)((b a)(a a))) REDUCED to normal form. ------ 113305/10950555. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 113306/10950609. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 113307/10950636. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))(((a a) a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))(((a a) a)(^y.y))) REDUCED to normal form. ------ 113308/10950690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113309/10950717. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 113310/10950735. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 113311/10950744. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 113312/10950771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(b a))) REDUCED to normal form. ------ 113313/10950834. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113314/10950861. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.a))) REDUCED to normal form. ------ 113315/10950888. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(^y.(y y)))) 3. ==[ beta ]==> ((a (a b))((a b)(^y.(y y)))) 4. ==[ alpha ]==> ((a (a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 113316/10950915. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 113317/10950969. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a (a a))(^x.b))) REDUCED to normal form. ------ 113318/10950996. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a b) a)(a (^y.(a a)))) 6. ==[ alpha ]==> (((a b) a)(a (^x.(a a)))) REDUCED to normal form. ------ 113319/10951077. ------ 1. ==[ start ]==> ((a (b a))((b a) a)) REDUCED to normal form. ------ 113320/10951167. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113321/10951248. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113322/10951311. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(b ((a a)(^y.y)))) REDUCED to normal form. ------ 113323/10951419. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a b) a)) REDUCED to normal form. ------ 113324/10951446. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 113325/10951500. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 113326/10951527. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(a b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (a b))) REDUCED to normal form. ------ 113327/10951554. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))((a (^y.y))(a a))) REDUCED to normal form. ------ 113328/10951581. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 113329/10951644. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(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. ------ 113330/10951671. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 113331/10951698. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 113332/10951725. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a b))(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a b))(^x.(^y.y))) REDUCED to normal form. ------ 113333/10951779. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (^z.b))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 113334/10951806. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 113335/10951860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 113336/10951914. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b) c)) REDUCED to normal form. ------ 113337/10951923. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)(^y1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113338/10952004. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(^y.a))) 7. ==[ beta ]==> ((a a)((^y.a)(^y.a))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.a))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 113339/10952085. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113340/10952202. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 113341/10952229. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 113342/10952301. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b (^z.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b (^z.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(a a)))) 7. ==[ beta ]==> (((a a)(a a))(b (^y.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 113343/10952310. ------ 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)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 113344/10952382. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113345/10952490. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 113346/10952517. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 113347/10952535. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.(a a)))) REDUCED to normal form. ------ 113348/10952562. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a) a)) REDUCED to normal form. ------ 113349/10952589. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b) b)) REDUCED to normal form. ------ 113350/10952796. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 113351/10952805. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 113352/10952832. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a) c)) 3. ==[ beta ]==> ((a b)((^y.a) c)) 4. ==[ alpha ]==> ((a b)((^x.a) c)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 113353/10953003. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(a a))) 3. ==[ beta ]==> (b ((^z.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113354/10953111. ------ 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.a)((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113355/10953165. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(a b))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((^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. ------ 113356/10953192. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.z))) 5. ==[ beta ]==> ((^y.b)(^z.z)) 6. ==[ alpha ]==> ((^x.b)(^y.y)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113357/10953246. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 113358/10953309. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(c (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 113359/10953327. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113360/10953336. ------ 1. ==[ start ]==> (((a b)(^c.a))(b ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b ((a a) a))) REDUCED to normal form. ------ 113361/10953363. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a b))) REDUCED to normal form. ------ 113362/10953390. ------ 1. ==[ start ]==> ((((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 a))) REDUCED to normal form. ------ 113363/10953444. ------ 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.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a)) a)) REDUCED to normal form. ------ 113364/10953471. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))(a (a (a a)))) REDUCED to normal form. ------ 113365/10953561. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)(^y.y))) 3. ==[ beta ]==> ((a (b a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 113366/10953588. ------ 1. ==[ start ]==> (((a (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.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 113367/10953615. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.a))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.a))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.a))) REDUCED to normal form. ------ 113368/10953642. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.(x x)))) REDUCED to normal form. ------ 113369/10953669. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 113370/10953723. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 113371/10953867. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 113372/10954002. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 113373/10954110. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113374/10954191. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 113375/10954218. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113376/10954272. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 113377/10954335. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 113378/10954362. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 113379/10954416. ------ 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 (a a)))) REDUCED to normal form. ------ 113380/10954461. ------ 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 y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113381/10954497. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 113382/10954560. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a)) a)) REDUCED to normal form. ------ 113383/10954587. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a) b)) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a) b)) 5. ==[ beta ]==> (((a (^x.x)) b)(a b)) REDUCED to normal form. ------ 113384/10954668. ------ 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 x1)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y)) a)) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 113385/10954695. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a) b)) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 113386/10954722. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 113387/10954776. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 113388/10954830. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.a))) REDUCED to normal form. ------ 113389/10954857. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a) a)) 5. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 113390/10954884. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 113391/10954911. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a) c)) REDUCED to normal form. ------ 113392/10955001. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113393/10955082. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113394/10955190. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113395/10955226. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (a a))) 3. ==[ beta ]==> ((b c)(a (a a))) REDUCED to normal form. ------ 113396/10955253. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 113397/10963359. ------ 1. ==[ start ]==> ((((a a)(a a)) b) b) REDUCED to normal form. ------ 113398/10963383. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113399/10963698. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(b ((a a)(a a)))) 3. ==[ eta ]==> ((^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. ------ 113400/10963968. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(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)))(((^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)))(((^x2.x2)(^y2.y2))((a a)(^z2.z2))))) 5. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((((^x1.x1)(^y1.y1))((a a)(^z1.z1)))(((^x2.x2)(^y2.y2))((a a)(^z2.z2))))) 6. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((((^z.z)(^x1.x1))((a a)(^y1.y1)))(((^z1.z1)(^x2.x2))((a a)(^y2.y2))))) 7. ==[ beta ]==> (((a a)(^y.y))((((^z.z)(^x1.x1))((a a)(^y1.y1)))(((^z1.z1)(^x2.x2))((a a)(^y2.y2))))) 8. ==[ alpha ]==> (((a a)(^x.x))((((^y.y)(^z.z))((a a)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2))))) 9. ==[ beta ]==> (((a a)(^x.x))(((^z.z)((a a)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2))))) 10. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))) 11. ==[ beta ]==> (((a a)(^x.x))(((a a)(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1))))) 12. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1))))) 13. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((^x1.x1)((a a)(^y1.y1))))) 14. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z)((a a)(^x1.x1))))) 15. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^x1.x1)))) 16. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 113401/10964193. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113402/10964448. ------ 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. ------ 113403/10965465. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.(^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. ------ 113404/10965474. ------ 1. ==[ start ]==> (((a a)(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 113405/10965807. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 113406/10965858. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(((b a)(a (^z.z)))((b a)(a (^z.z))))) 4. ==[ alpha ]==> ((^x.x)(((b a)(a (^y.y)))((b a)(a (^z.z))))) 5. ==[ beta ]==> (((b a)(a (^y.y)))((b a)(a (^z.z)))) 6. ==[ alpha ]==> (((b a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 113407/10966122. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 113408/10966716. ------ 1. ==[ start ]==> (((a b) c)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113409/10967013. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 113410/10967838. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 113411/10968552. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113412/10968729. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113413/10969044. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113414/10969380. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.b))) 5. ==[ beta ]==> (b (^y.(^z.b))) 6. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 113415/10969389. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a y))) 3. ==[ eta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 113416/10969578. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.z))) REDUCED to normal form. ------ 113417/10970388. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^x.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 113418/10970883. ------ 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 (x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z (z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z (z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (y y)))) REDUCED to normal form. ------ 113419/10971123. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113420/10971216. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.c)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.c)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.c)) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.c)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113421/10971441. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.z))) 3. ==[ beta ]==> ((b c)(^y.(^z.z))) 4. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 113422/10971468. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 113423/10971498. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 113424/10971525. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 113425/10971534. ------ 1. ==[ start ]==> (((a a) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a) a)(^y.a)) 4. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 113426/10971561. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 113427/10971642. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 113428/10971669. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 113429/10971777. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 113430/10971813. ------ 1. ==[ start ]==> ((a ((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 113431/10971903. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> (((^y.y) a)((^z.z) c)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) c)) 5. ==[ beta ]==> (a ((^y.y) c)) 6. ==[ alpha ]==> (a ((^x.x) c)) 7. ==[ beta ]==> (a c) REDUCED to normal form. ------ 113432/10972002. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a)((a a) a))) REDUCED to normal form. ------ 113433/10972029. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(a b))) REDUCED to normal form. ------ 113434/10972056. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 113435/10972083. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a (a a)))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 113436/10972155. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c (^y.y))) 3. ==[ beta ]==> ((a b)(c (^y.y))) 4. ==[ alpha ]==> ((a b)(c (^x.x))) REDUCED to normal form. ------ 113437/10972182. ------ 1. ==[ start ]==> (((a (a a)) a)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(b (^x.(a a)))) REDUCED to normal form. ------ 113438/10972227. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a 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. ------ 113439/10972236. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 113440/10972263. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 113441/10972281. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(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))) REDUCED to normal form. ------ 113442/10972290. ------ 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. ------ 113443/10972308. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 113444/10972398. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.b)(a b))) 3. ==[ beta ]==> ((b b)((^y.b)(a b))) 4. ==[ alpha ]==> ((b b)((^x.b)(a b))) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 113445/10972443. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113446/10972524. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 7. ==[ beta ]==> ((a (^y.y))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 113447/10972533. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 113448/10972560. ------ 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. ------ 113449/10972578. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 113450/10972587. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(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. ------ 113451/10972605. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) b) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 113452/10972614. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 113453/10972641. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 113454/10972956. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z) b)) 5. ==[ beta ]==> (a ((^z.z) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 113455/10973217. ------ 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))))) REDUCED to normal form. ------ 113456/10973244. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) b)) REDUCED to normal form. ------ 113457/10973370. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113458/10973388. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113459/10973469. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.(a a)))) IRREDUCIBLE: cycle. ------ 113460/10973532. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(b a))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 113461/10973550. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113462/10973559. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 113463/10973577. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.y))) 3. ==[ beta ]==> ((a b)((a a)(^y.y))) 4. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 113464/10973586. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 113465/10973604. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113466/10973640. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 113467/10973658. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a) c)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a) c)) REDUCED to normal form. ------ 113468/10973694. ------ 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 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 113469/10973721. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 113470/10973748. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 113471/10973892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((^x.x) a)(b (a (^y.(^z.z))))) 7. ==[ beta ]==> (a (b (a (^y.(^z.z))))) 8. ==[ alpha ]==> (a (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 113472/10973919. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a b)) REDUCED to normal form. ------ 113473/10973946. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 113474/10973973. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a (a a))((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a (a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 113475/10974009. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) d)) 5. ==[ beta ]==> ((^y.(^z.z)) d) 6. ==[ alpha ]==> ((^x.(^y.y)) d) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113476/10974207. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113477/10974234. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a (^z.z))) REDUCED to normal form. ------ 113478/10974279. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 11. ==[ beta ]==> ((b a)(^y.(^z.z))) 12. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 113479/10974342. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a a)) REDUCED to normal form. ------ 113480/10974360. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 113481/10974369. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 113482/10974585. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113483/10974828. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113484/10975071. ------ 1. ==[ start ]==> (((a b)(^b.a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.(^z.z)))) REDUCED to normal form. ------ 113485/10975125. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 113486/10975638. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 113487/10975881. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(c (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c (^y.(a a)))) REDUCED to normal form. ------ 113488/10975908. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 113489/10975953. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 113490/10976232. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113491/10976250. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b) c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113492/10976637. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b (^y.(a a)))) REDUCED to normal form. ------ 113493/10976664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(a (^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113494/10976709. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 113495/10976718. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 113496/10976772. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 113497/10976826. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 113498/10976844. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 113499/10977078. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (a b))) REDUCED to normal form. ------ 113500/10977132. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)(a a))) REDUCED to normal form. ------ 113501/10977159. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)(a (^y.y)))) 3. ==[ beta ]==> ((a b)(((a a) a)(a (^y.y)))) 4. ==[ alpha ]==> ((a b)(((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 113502/10977168. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^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. ------ 113503/10977330. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.z))) 3. ==[ beta ]==> (b ((a b)(^z.z))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 113504/10977438. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1) a)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113505/10977447. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 113506/10977474. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 113507/10977492. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(^z.b))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.b))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.b))) 5. ==[ beta ]==> (b ((a a)(^y.b))) 6. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 113508/10977501. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 113509/10977519. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b) a)) 3. ==[ beta ]==> ((^y.y)((a b) a)) 4. ==[ alpha ]==> ((^x.x)((a b) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 113510/10977528. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 113511/10977609. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 113512/10977636. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 113513/10977663. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 113514/10977690. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.b)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 113515/10977762. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^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. ------ 113516/10977834. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b)((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 113517/10977861. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)((a a) a))) REDUCED to normal form. ------ 113518/10978437. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^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. ------ 113519/10978473. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 113520/10978500. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)((^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. ------ 113521/10978518. ------ 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. ------ 113522/10978545. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a)) b)) 3. ==[ beta ]==> ((^y.y)((a (a a)) b)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) b)) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 113523/10978554. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 113524/10978581. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 113525/10978680. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y)) b)) 3. ==[ beta ]==> (b ((^y.(y y)) b)) 4. ==[ alpha ]==> (b ((^x.(x x)) b)) 5. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 113526/10978743. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 113527/10978788. ------ 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. ------ 113528/10978797. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a a)(a a))) REDUCED to normal form. ------ 113529/10978824. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 113530/10978851. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))((^x1.x1) 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. ------ 113531/10978968. ------ 1. ==[ start ]==> (((a (a a))(b a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(b ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(b a))(b a)) REDUCED to normal form. ------ 113532/10978995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 113533/10979022. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 113534/10979049. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 113535/10979076. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a a)((a a) a))((a a) a)) REDUCED to normal form. ------ 113536/10979157. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b c)) REDUCED to normal form. ------ 113537/10979238. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 113538/10979409. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 113539/10979517. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((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. ------ 113540/10979553. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.z))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.z))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.y))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 113541/10979580. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.x))) REDUCED to normal form. ------ 113542/10983516. ------ 1. ==[ start ]==> ((^a.(b a))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(y a))) 3. ==[ eta ]==> (b (^y.(y a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 113543/10987695. ------ 1. ==[ start ]==> ((((a a)(a a)) b) c) REDUCED to normal form. ------ 113544/10987773. ------ 1. ==[ start ]==> ((^a.b)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 113545/10988082. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(b (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 113546/10988214. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 113547/10989096. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.a)(^z.(^x1.(^y1.y1))))((^y.a)(^z.(^x1.(^y1.y1)))))((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.(^y2.y2)))))((^z2.a)(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((a ((^y1.a)(^z1.(^x2.(^y2.y2)))))((^z2.a)(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.(^x1.x1)))))((^y1.a)(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a a)((^y1.a)(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 113548/10989429. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) a)(b a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 113549/10989609. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(a (a a))) b) 4. ==[ alpha ]==> (((^x.(^y.y))(a (a a))) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113550/10989819. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 113551/10990152. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 113552/10990458. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 113553/10990773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 113554/10990878. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((^z.(a a))(^x1.(x1 x1)))((^z.(a a))(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(^y.(y y)))((^z.(a a))(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> (((a a)((^z.(a a))(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(^y.(y y))))(^z.z)) 7. ==[ beta ]==> (((a a)(a a))(^z.z)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 113555/10991634. ------ 1. ==[ start ]==> ((^a.(b a))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.y)(b a))) 3. ==[ eta ]==> (b ((^y.y)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 113556/10991637. ------ 1. ==[ start ]==> ((a (b a))(^b.(b a))) 2. ==[ alpha ]==> ((a (b a))(^x.(x a))) REDUCED to normal form. ------ 113557/10991916. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(b y))) 3. ==[ eta ]==> (((^x.x)(b a)) b) 4. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 113558/10992420. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 113559/10992471. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^x1.(a a))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((a a)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 113560/10993122. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.(a a))) REDUCED to normal form. ------ 113561/10993734. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 113562/10994121. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.b))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.b))) REDUCED to normal form. ------ 113563/10994283. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.((a a) a))) REDUCED to normal form. ------ 113564/10994388. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((^y.a)(^z.(z z)))((^y.a)(^z.(z z))))(((^y.a)(^z.(z z)))((^y.a)(^z.(z z))))) 4. ==[ alpha ]==> ((((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1))))(((^y1.a)(^z1.(z1 z1)))((^x2.a)(^y2.(y2 y2))))) 5. ==[ beta ]==> ((a ((^z.a)(^x1.(x1 x1))))(((^y1.a)(^z1.(z1 z1)))((^x2.a)(^y2.(y2 y2))))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(y y))))(((^z.a)(^x1.(x1 x1)))((^y1.a)(^z1.(z1 z1))))) 7. ==[ beta ]==> ((a a)(((^z.a)(^x1.(x1 x1)))((^y1.a)(^z1.(z1 z1))))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.(y y)))((^z.a)(^x1.(x1 x1))))) 9. ==[ beta ]==> ((a a)(a ((^z.a)(^x1.(x1 x1))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.(y y))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 113565/10995120. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(a (a a)))) REDUCED to normal form. ------ 113566/10995228. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 113567/10995336. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 113568/10995417. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 113569/10995468. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113570/10995642. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 113571/10995786. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.a)) 3. ==[ beta ]==> ((b c)(^y.a)) 4. ==[ alpha ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 113572/10995813. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 113573/10995861. ------ 1. ==[ start ]==> (((^a.a) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x) a)(((a a)(a a)) b)) 3. ==[ beta ]==> (a (((a a)(a a)) b)) REDUCED to normal form. ------ 113574/10995888. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b) c)) 3. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 113575/10995897. ------ 1. ==[ start ]==> ((a b)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a b)((^x.x)(^y.a))) 3. ==[ beta ]==> ((a b)(^y.a)) 4. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 113576/10996113. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 113577/10996140. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 113578/10996176. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)(b ((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 113579/10996203. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a (b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 113580/10996257. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (a (((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> (a (((^x.x) b)(a (^y.y)))) 7. ==[ beta ]==> (a (b (a (^y.y)))) 8. ==[ alpha ]==> (a (b (a (^x.x)))) REDUCED to normal form. ------ 113581/10996266. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.a)) c) REDUCED to normal form. ------ 113582/10996284. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 113583/10996338. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 113584/10996446. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((((^y.y)(^z.z))((a a)(^x1.x1)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 7. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 8. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 9. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 10. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> (((a a)(^x.x))((^z.z)((a a)(^x1.x1)))) 12. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(^z.z)))) 13. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.z))) 14. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 113585/10996473. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 113586/10996527. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 113587/10996554. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 113588/10996590. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 113589/10996617. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 113590/10996644. ------ 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. ------ 113591/10996734. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 113592/10996752. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(^y.b))) 3. ==[ beta ]==> ((b b)((a b)(^y.b))) 4. ==[ alpha ]==> ((b b)((a b)(^x.b))) REDUCED to normal form. ------ 113593/10996761. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a b))) 3. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 113594/10996887. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 113595/10996941. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 113596/10996968. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b b)) REDUCED to normal form. ------ 113597/10996995. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 113598/10997085. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 113599/10997112. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 113600/10997166. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 113601/10997220. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 113602/10997256. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1) 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. ------ 113603/10997310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b)(a a))) 5. ==[ beta ]==> (a (((^z.z) b)(a a))) 6. ==[ alpha ]==> (a (((^x.x) b)(a a))) 7. ==[ beta ]==> (a (b (a a))) REDUCED to normal form. ------ 113604/10997346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) c)) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113605/10997391. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 113606/10997418. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 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. ------ 113607/10997472. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a) a)(a b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(a b))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(a b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(a b))) 7. ==[ beta ]==> ((a a)(((a a) a)(a b))) REDUCED to normal form. ------ 113608/10997553. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (^x.b))(a (b a))) REDUCED to normal form. ------ 113609/10997598. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 113610/10997652. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 113611/10997679. ------ 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.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 113612/10997724. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 113613/10997733. ------ 1. ==[ start ]==> ((a (a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 113614/10997913. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113615/10997940. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 113616/10997994. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 113617/10998021. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a) c)) REDUCED to normal form. ------ 113618/10998138. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 113619/10998165. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 113620/10998246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 113621/10998273. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 113622/10998291. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b) a)) 2. ==[ alpha ]==> (((^x.b) b)((^y.y) a)) 3. ==[ beta ]==> (b ((^y.y) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113623/10998336. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.(a a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.(a a))((b a)(a (^y.y)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 113624/10998363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 113625/10998417. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((a b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a b)(^y.y)) 10. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 113626/10998498. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 113627/10998552. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(b a))) 5. ==[ beta ]==> ((a a)((a (^y.y))(b a))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(b a))) REDUCED to normal form. ------ 113628/10998579. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 113629/10998642. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 113630/10998669. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))(^z.a))) 7. ==[ beta ]==> ((((a a)(^y.y))(^z.a))(((a a)(^y.y))(^z.a))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 113631/10998696. ------ 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 z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(^y.(y y)))) REDUCED to normal form. ------ 113632/10998723. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 113633/10998786. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 113634/10998813. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a b))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a b))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a a))) REDUCED to normal form. ------ 113635/10998840. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 113636/10998867. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 113637/10998894. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 113638/10998921. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 113639/10998939. ------ 1. ==[ start ]==> (((^a.b) c)((b a) b)) 2. ==[ alpha ]==> (((^x.b) c)((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 113640/10999002. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 113641/10999173. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(b (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 113642/10999209. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 113643/10999254. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 113644/10999281. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(a a))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 7. ==[ beta ]==> ((a a)((^y.y) a)) 8. ==[ alpha ]==> ((a a)((^x.x) a)) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 113645/10999335. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 113646/10999416. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 113647/10999569. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 113648/10999596. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a)) b) REDUCED to normal form. ------ 113649/10999650. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 113650/10999677. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b) a)((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a b) a)((^x.(x x))(a b))) 5. ==[ beta ]==> (((a b) a)((a b)(a b))) REDUCED to normal form. ------ 113651/10999704. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 113652/10999731. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 113653/10999758. ------ 1. ==[ start ]==> ((a (b a))((^a.a)(b a))) 2. ==[ alpha ]==> ((a (b a))((^x.x)(b a))) 3. ==[ beta ]==> ((a (b a))(b a)) REDUCED to normal form. ------ 113654/11000037. ------ 1. ==[ start ]==> (((^a.a)(b a))(a (b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(a (b a))) 3. ==[ beta ]==> ((b a)(a (b a))) REDUCED to normal form. ------ 113655/11000064. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))(a a)) 6. ==[ alpha ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 113656/11000100. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 113657/11000118. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))((a b)((^y.y) a))) 4. ==[ alpha ]==> (((a b)(a b))((a b)((^x.x) a))) 5. ==[ beta ]==> (((a b)(a b))((a b) a)) REDUCED to normal form. ------ 113658/11000199. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (b ((a (a a))((a a) a))) REDUCED to normal form. ------ 113659/11000325. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 113660/11000352. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 113661/11000379. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((^y.b)((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 113662/11000406. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 113663/11000433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 113664/11000460. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 113665/11000487. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a b))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 113666/11000514. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 113667/11000541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 113668/11000586. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113669/11000595. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 113670/11000766. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 113671/11000874. ------ 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.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113672/11000901. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a (a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 113673/11000928. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 113674/11000982. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(a b))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a b))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 113675/11001072. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 113676/11001099. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 113677/11001126. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(z z))) REDUCED to normal form. ------ 113678/11001216. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 113679/11001243. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a a))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 113680/11001270. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 113681/11001297. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 113682/11001324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 6. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 113683/11001351. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 113684/11001378. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 113685/11001405. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 113686/11001432. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 113687/11001477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113688/11001522. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((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. ------ 113689/11001549. ------ 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))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))((^y2.y2) 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. ------ 113690/11001801. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 113691/11001828. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((b a)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 113692/11001855. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 113693/11001882. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b) a)) REDUCED to normal form. ------ 113694/11002008. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (b (c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (c (^y.y))) 6. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 113695/11002071. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 113696/11002116. ------ 1. ==[ start ]==> (((^a.(^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))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113697/11002125. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 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. ------ 113698/11002188. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 113699/11002215. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b (^x1.a))) REDUCED to normal form. ------ 113700/11002242. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (^y.b))) 3. ==[ beta ]==> ((a (b a))(a (^y.b))) 4. ==[ alpha ]==> ((a (b a))(a (^x.b))) REDUCED to normal form. ------ 113701/11002296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(a (^z.z)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 113702/11002323. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a b))(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)(a b))(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a) a)(a b))(a a)) REDUCED to normal form. ------ 113703/11002350. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 113704/11002377. ------ 1. ==[ start ]==> ((((^a.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)(^x2.x2)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 113705/11002404. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a a) a)) REDUCED to normal form. ------ 113706/11002458. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 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. ------ 113707/11002485. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b (a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b (a a))((^x.a)(^y.a))) 7. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 113708/11002512. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 113709/11002548. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113710/11002683. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 113711/11002827. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 113712/11002854. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 113713/11002908. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) b)) REDUCED to normal form. ------ 113714/11002953. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c ((^y.y) a))) 3. ==[ beta ]==> (((b a)(b a))(c ((^y.y) a))) 4. ==[ alpha ]==> (((b a)(b a))(c ((^x.x) a))) 5. ==[ beta ]==> (((b a)(b a))(c a)) REDUCED to normal form. ------ 113715/11003016. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 113716/11003034. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a))(a a))) 3. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 113717/11003043. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y)) b)) 3. ==[ beta ]==> (((a b)(^x.b))(b b)) REDUCED to normal form. ------ 113718/11003151. ------ 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. ------ 113719/11003178. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 113720/11003205. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 113721/11003241. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (a a))) REDUCED to normal form. ------ 113722/11003268. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.z))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 113723/11003295. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 113724/11003322. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 113725/11003349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 113726/11003403. ------ 1. ==[ start ]==> (((a b)(a b))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 113727/11003430. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b (^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(b (^y.a))) 4. ==[ alpha ]==> (((a a)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 113728/11003457. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(z z)))) REDUCED to normal form. ------ 113729/11003511. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 113730/11003538. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z) a)) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y) a)) 7. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 113731/11003565. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 113732/11003592. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 113733/11003682. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113734/11003763. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 113735/11003871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b a)) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113736/11003907. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a) a)) 3. ==[ beta ]==> ((b c)((a a) a)) REDUCED to normal form. ------ 113737/11003934. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x) a)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 113738/11003960. ------ 1. ==[ start ]==> (^a.((b (^a.a)) a)) 2. ==[ alpha ]==> (^x.((b (^y.y)) x)) 3. ==[ eta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113739/11003961. ------ 1. ==[ start ]==> (a ((b (^a.a)) a)) 2. ==[ alpha ]==> (a ((b (^x.x)) a)) REDUCED to normal form. ------ 113740/11007879. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(^d.a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.a))) 3. ==[ eta ]==> (b (^y.(^z.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 113741/11012091. ------ 1. ==[ start ]==> ((^a.a)((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 3. ==[ beta ]==> ((b (^y.y)) a) 4. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 113742/11012118. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(((a a)(a a)) b)) REDUCED to normal form. ------ 113743/11012145. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b) c)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 113744/11012181. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113745/11012463. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(b (^z.z)))) REDUCED to normal form. ------ 113746/11012910. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113747/11013036. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113748/11013183. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 7. ==[ beta ]==> (^y.((a a)(a a))) 8. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 113749/11013981. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))(^z.(z z))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 113750/11014209. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))((a a) a))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113751/11014368. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (^y.(((^z.b)(^x1.a))((^z.b)(^x1.a)))) 4. ==[ alpha ]==> (^x.(((^y.b)(^z.a))((^x1.b)(^y1.a)))) 5. ==[ beta ]==> (^x.(b ((^x1.b)(^y1.a)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)(^z.a)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 113752/11014542. ------ 1. ==[ start ]==> (((^a.b) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 113753/11014575. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1))) b)((^z.(^x1.(^y1.y1))) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1))) b)((^y1.(^z1.(^x2.x2))) b))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)((^y1.(^z1.(^x2.x2))) b)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b)) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113754/11014839. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 113755/11015433. ------ 1. ==[ start ]==> (((a b) c)(^d.(b a))) 2. ==[ alpha ]==> (((a b) c)(^x.(b a))) REDUCED to normal form. ------ 113756/11015460. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 113757/11016009. ------ 1. ==[ start ]==> ((a (b a))(^c.(^d.a))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.a))) REDUCED to normal form. ------ 113758/11016843. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((((^x1.x1)(a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.z))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 113759/11017269. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((^x.b)(^y.((^z.z)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113760/11017446. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113761/11017494. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 113762/11017728. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((^y1.y1)(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113763/11017761. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113764/11017935. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 113765/11018124. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.y))(a (^z.(^x1.x1)))) a) 4. ==[ beta ]==> ((^y.y) a) 5. ==[ alpha ]==> ((^x.x) a) 6. ==[ beta ]==> a REDUCED to normal form. ------ 113766/11018322. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(z b))) REDUCED to normal form. ------ 113767/11019123. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 113768/11019267. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 113769/11019393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^a.(^b.(^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. ------ 113770/11019789. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 113771/11019840. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113772/11020014. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 113773/11020122. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113774/11020158. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.b)) 3. ==[ beta ]==> ((b c)(^y.b)) 4. ==[ alpha ]==> ((b c)(^x.b)) REDUCED to normal form. ------ 113775/11020185. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(x x))) REDUCED to normal form. ------ 113776/11020224. ------ 1. ==[ start ]==> ((a a)((b (^a.a)) a)) 2. ==[ alpha ]==> ((a a)((b (^x.x)) a)) REDUCED to normal form. ------ 113777/11020251. ------ 1. ==[ start ]==> ((a (a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 113778/11020278. ------ 1. ==[ start ]==> ((a b)(((^a.a) b) c)) 2. ==[ alpha ]==> ((a b)(((^x.x) b) c)) 3. ==[ beta ]==> ((a b)(b c)) REDUCED to normal form. ------ 113779/11020287. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 113780/11020314. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 113781/11020395. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 113782/11020422. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 113783/11020557. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 113784/11020593. ------ 1. ==[ start ]==> (((a (^a.a)) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(a (b (^y.y)))) REDUCED to normal form. ------ 113785/11020620. ------ 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. ------ 113786/11020647. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (a (^y.y)))) REDUCED to normal form. ------ 113787/11020674. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) REDUCED to normal form. ------ 113788/11020701. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 113789/11020809. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a a)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 113790/11020890. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a b)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 113791/11020917. ------ 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. ------ 113792/11020935. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> ((a (a a))(b (^y.(a a)))) 4. ==[ alpha ]==> ((a (a a))(b (^x.(a a)))) REDUCED to normal form. ------ 113793/11020944. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 113794/11021016. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(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. ------ 113795/11021043. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 113796/11021061. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))((b a)(^x.(x x)))) REDUCED to normal form. ------ 113797/11021088. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113798/11021142. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.b))) REDUCED to normal form. ------ 113799/11021169. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 113800/11021178. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113801/11021205. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113802/11021259. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 113803/11021313. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 113804/11021394. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 113805/11021637. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113806/11021727. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 113807/11021754. ------ 1. ==[ start ]==> ((((a a) a) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) a)((b a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) a)((b a) a)) REDUCED to normal form. ------ 113808/11021808. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 113809/11021835. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a b)((a a) a))) REDUCED to normal form. ------ 113810/11021862. ------ 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. ------ 113811/11021889. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113812/11021916. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 113813/11022033. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a (a a)) a)(b (^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 113814/11022060. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 113815/11022087. ------ 1. ==[ start ]==> ((((a a) a)(a a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))((b a)(^x.a))) REDUCED to normal form. ------ 113816/11022114. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 113817/11022123. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113818/11022285. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(b a))) 3. ==[ beta ]==> (b ((^z.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113819/11022312. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 113820/11022339. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 113821/11022393. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 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. ------ 113822/11022474. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 113823/11022501. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 113824/11022672. ------ 1. ==[ start ]==> (((^a.b) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)(a ((^y.y) b))) 3. ==[ beta ]==> (b (a ((^y.y) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 113825/11022681. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b) a)) 2. ==[ alpha ]==> (((a b)(a a))((^x.x) a)) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 113826/11022708. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 113827/11022888. ------ 1. ==[ start ]==> (((a b) b)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) b)((a (a a))((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) b)((a (a a))(a a))) REDUCED to normal form. ------ 113828/11022915. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 113829/11022942. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.y))(b a))) REDUCED to normal form. ------ 113830/11022960. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113831/11022969. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 113832/11023014. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a a))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 12. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113833/11023095. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 113834/11023167. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a)(a a))(^y.b)) 8. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 113835/11023194. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 113836/11023275. ------ 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.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 113837/11023302. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 113838/11023329. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a) b)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a) b)) REDUCED to normal form. ------ 113839/11023419. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113840/11023563. ------ 1. ==[ start ]==> (((a b) c)(b (b a))) REDUCED to normal form. ------ 113841/11023590. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 113842/11023617. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a)(a a))) REDUCED to normal form. ------ 113843/11023671. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a) a)) REDUCED to normal form. ------ 113844/11023698. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.b))((a b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a b)(a (a a)))) REDUCED to normal form. ------ 113845/11023752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113846/11023779. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (a a))(a b))) REDUCED to normal form. ------ 113847/11023806. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (a a))) REDUCED to normal form. ------ 113848/11023833. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 113849/11023860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(b a))) REDUCED to normal form. ------ 113850/11023896. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 113851/11023923. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113852/11023950. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.a))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.a))) REDUCED to normal form. ------ 113853/11023977. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 113854/11024004. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 113855/11024058. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a b) a)((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a b) a)((a (a a))(^x.b))) REDUCED to normal form. ------ 113856/11024085. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.(a a)))) REDUCED to normal form. ------ 113857/11024229. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 113858/11024310. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113859/11024373. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(c (a a))) REDUCED to normal form. ------ 113860/11024481. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 113861/11024508. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a b) a)) REDUCED to normal form. ------ 113862/11024562. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 113863/11024589. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))((a a) a))) REDUCED to normal form. ------ 113864/11024616. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a)(^x.a))(a (a b))) REDUCED to normal form. ------ 113865/11024643. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 113866/11024706. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 113867/11024733. ------ 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)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 113868/11024760. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)(^z.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)(^z.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)(^y.a))) 5. ==[ beta ]==> ((a (a a))((a b)(^y.a))) 6. ==[ alpha ]==> ((a (a a))((a b)(^x.a))) REDUCED to normal form. ------ 113869/11024787. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 113870/11024814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 113871/11024868. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(^y.b))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (^y.b))) 4. ==[ alpha ]==> (((a b)(a (a a)))(a (^x.b))) REDUCED to normal form. ------ 113872/11024895. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 113873/11024976. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a) b)) REDUCED to normal form. ------ 113874/11024985. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113875/11025066. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 113876/11025147. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113877/11025264. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a) a)) REDUCED to normal form. ------ 113878/11025291. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 113879/11025372. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(a b))) REDUCED to normal form. ------ 113880/11025399. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.b)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 113881/11025444. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (b ((^x1.(a a))(a a))) 4. ==[ alpha ]==> (b ((^x.(a a))(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 113882/11025552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 113883/11025579. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 113884/11025597. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 113885/11025624. ------ 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. ------ 113886/11025651. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 113887/11025678. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b) b)) 3. ==[ beta ]==> (((a (a a))(a a))((a b) b)) REDUCED to normal form. ------ 113888/11025705. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a) c)) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a) c)) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a) c)) 5. ==[ beta ]==> ((a b)(((a a) a) c)) REDUCED to normal form. ------ 113889/11025858. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113890/11025867. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 113891/11025894. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b) b)) 3. ==[ beta ]==> ((a b)((^y.b) b)) 4. ==[ alpha ]==> ((a b)((^x.b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 113892/11026065. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 113893/11026173. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(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. ------ 113894/11026227. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113895/11026254. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(a b))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a b))) 5. ==[ beta ]==> ((^y.y)(a b)) 6. ==[ alpha ]==> ((^x.x)(a b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 113896/11026389. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 113897/11026398. ------ 1. ==[ start ]==> (((a b)(^c.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a))(c (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(c (^y.y))) REDUCED to normal form. ------ 113898/11026425. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b ((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b ((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b ((a a) a))) REDUCED to normal form. ------ 113899/11026452. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (a b))) REDUCED to normal form. ------ 113900/11026506. ------ 1. ==[ start ]==> (((a (^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))(a (^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(a (^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.y1))) REDUCED to normal form. ------ 113901/11026533. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))((a (a a)) a)) REDUCED to normal form. ------ 113902/11026650. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 113903/11026677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 11. ==[ beta ]==> ((a a)(^y.(^z.z))) 12. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 113904/11026704. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))(^x.a))) REDUCED to normal form. ------ 113905/11026731. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> (((a b)((a a) a))(a (^y.(y y)))) 4. ==[ alpha ]==> (((a b)((a a) a))(a (^x.(x x)))) REDUCED to normal form. ------ 113906/11026758. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 113907/11026839. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 113908/11026866. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a)) c)) 3. ==[ beta ]==> ((b (a a))((a (a a)) c)) REDUCED to normal form. ------ 113909/11026929. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 113910/11027064. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(z z)))) 3. ==[ beta ]==> (b (c (^z.(z z)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 113911/11027172. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 113912/11027208. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c d)) 2. ==[ alpha ]==> ((((^x.x) b) b)(c d)) 3. ==[ beta ]==> ((b b)(c d)) REDUCED to normal form. ------ 113913/11027253. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 113914/11027280. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113915/11027334. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 113916/11027397. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 113917/11027424. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(a a))) REDUCED to normal form. ------ 113918/11027478. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 113919/11027523. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113920/11027622. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.(x x)))) REDUCED to normal form. ------ 113921/11027649. ------ 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. ------ 113922/11027676. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a b)) REDUCED to normal form. ------ 113923/11027703. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x)) c)) REDUCED to normal form. ------ 113924/11027757. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y)) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x)) a)) 5. ==[ beta ]==> ((((a a) a)(a a))(a a)) REDUCED to normal form. ------ 113925/11027784. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.a) b)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 113926/11027892. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 113927/11027919. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 113928/11027946. ------ 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. ------ 113929/11027973. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 113930/11028063. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.(^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.(^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113931/11028144. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 113932/11028252. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113933/11028288. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(a b)) 3. ==[ beta ]==> ((b c)(a b)) REDUCED to normal form. ------ 113934/11028315. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (a a))) REDUCED to normal form. ------ 113935/11036499. ------ 1. ==[ start ]==> ((^a.(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113936/11037084. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((^y.y)(a a)))((((a a) a)((^y.y)(a a)))(((a a) a)((^y.y)(a a))))) 4. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((((a a) a)((^y.y)(a a)))(((a a) a)((^z.z)(a a))))) 5. ==[ beta ]==> ((((a a) a)(a a))((((a a) a)((^y.y)(a a)))(((a a) a)((^z.z)(a a))))) 6. ==[ alpha ]==> ((((a a) a)(a a))((((a a) a)((^x.x)(a a)))(((a a) a)((^y.y)(a a))))) 7. ==[ beta ]==> ((((a a) a)(a a))((((a a) a)(a a))(((a a) a)((^y.y)(a a))))) 8. ==[ alpha ]==> ((((a a) a)(a a))((((a a) a)(a a))(((a a) a)((^x.x)(a a))))) 9. ==[ beta ]==> ((((a a) a)(a a))((((a a) a)(a a))(((a a) a)(a a)))) REDUCED to normal form. ------ 113937/11037309. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113938/11037591. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 113939/11038941. ------ 1. ==[ start ]==> (((^a.b) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113940/11038950. ------ 1. ==[ start ]==> (((a b)(a a))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b)(a a))(^x.b)) REDUCED to normal form. ------ 113941/11038974. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1)))(a a))((a (^z.(^x1.x1)))(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z)))(a a))((a (^x1.(^y1.y1)))(a a)))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a a))((a (^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 113942/11039859. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113943/11041845. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113944/11042127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113945/11042136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^z.(z z))) REDUCED to normal form. ------ 113946/11042160. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113947/11042532. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a y1))) 3. ==[ eta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 113948/11042721. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.z))) REDUCED to normal form. ------ 113949/11042892. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.((a a) a))) 3. ==[ beta ]==> ((a (b a))(^y.((a a) a))) 4. ==[ alpha ]==> ((a (b a))(^x.((a a) a))) REDUCED to normal form. ------ 113950/11043666. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 113951/11043801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 113952/11044026. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(y (y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(y (y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 113953/11044239. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 113954/11044413. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113955/11044521. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.y1)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113956/11044557. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a a))) 3. ==[ beta ]==> ((b c)(^y.(a a))) 4. ==[ alpha ]==> ((b c)(^x.(a a))) REDUCED to normal form. ------ 113957/11044584. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 113958/11044625. ------ 1. ==[ start ]==> (^a.(^b.(b (^a.a)))) 2. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 113959/11044626. ------ 1. ==[ start ]==> (a (^b.(b (^a.a)))) 2. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 113960/11044641. ------ 1. ==[ start ]==> ((a (^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 113961/11044668. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 113962/11044695. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) c)) 3. ==[ beta ]==> ((a a)(((^y.y) b) c)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 113963/11044704. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 113964/11044731. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 113965/11044785. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 113966/11044812. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 113967/11044839. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 113968/11044920. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 113969/11045073. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 113970/11045145. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 113971/11045172. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 113972/11045199. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((a b)(a b))) 3. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 113973/11045226. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 113974/11045352. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 113975/11045424. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 113976/11045433. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 113977/11045451. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 113978/11045541. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((b b)((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))((a a) a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 113979/11045586. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 113980/11045667. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 113981/11045676. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 113982/11045703. ------ 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. ------ 113983/11045730. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 113984/11045748. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 113985/11045784. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 113986/11045811. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.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. ------ 113987/11046099. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a)) a)) 5. ==[ beta ]==> (a ((^z.(a a)) a)) 6. ==[ alpha ]==> (a ((^x.(a a)) a)) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 113988/11046360. ------ 1. ==[ start ]==> (((a a)((a a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a a)((a a) a))(a (b a))) REDUCED to normal form. ------ 113989/11046387. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 113990/11046414. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((^y.y) b))) 4. ==[ alpha ]==> ((a (a (a a)))((a a)((^x.x) b))) 5. ==[ beta ]==> ((a (a (a a)))((a a) b)) REDUCED to normal form. ------ 113991/11046531. ------ 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 x1)))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 113992/11046612. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(^z.b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(^z.b))) IRREDUCIBLE: cycle. ------ 113993/11046675. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> ((((a a) a) b)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 113994/11046702. ------ 1. ==[ start ]==> (((a b) a)((^b.a)(b a))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(b a))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 113995/11046720. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 113996/11046729. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 113997/11046747. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 113998/11046783. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 113999/11046801. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 114000/11046810. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 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. ------ 114001/11046891. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 114002/11047062. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 114003/11047080. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114004/11047089. ------ 1. ==[ start ]==> (((a b)(a a))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))(a ((^x.x) b))) 3. ==[ beta ]==> (((a b)(a a))(a b)) REDUCED to normal form. ------ 114005/11047116. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 114006/11047125. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114007/11047350. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (^y.a))) REDUCED to normal form. ------ 114008/11047377. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114009/11047422. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.z1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.y1))) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 11. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 114010/11047431. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 114011/11047485. ------ 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) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 114012/11047503. ------ 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 x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(x1 x1)))) 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. ------ 114013/11047512. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 114014/11047539. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 114015/11047728. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 114016/11047971. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(^d.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 114017/11047998. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 114018/11048637. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a)) c)) 5. ==[ beta ]==> (b (((^z.z)(a a)) c)) 6. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 7. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 114019/11048781. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 114020/11048907. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a)) c)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a)) c)) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 114021/11049393. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a)) b)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114022/11049663. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114023/11049780. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (^y.b))) REDUCED to normal form. ------ 114024/11049807. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.b)(b (^y.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114025/11049852. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 114026/11049861. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 114027/11049888. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 114028/11049915. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 114029/11049960. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (a a))(^b.(^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. ------ 114030/11049969. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(x1 x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(((^y1.y1)(^z1.z1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)((^z1.z1)(^x2.x2)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.z1))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.y1))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 114031/11049987. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 114032/11050266. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114033/11050275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a (a a))) REDUCED to normal form. ------ 114034/11050302. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)(a a))) 3. ==[ beta ]==> ((a b)((a b)(a a))) REDUCED to normal form. ------ 114035/11050311. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b) b)) 3. ==[ beta ]==> ((^y.y)((^z.b) b)) 4. ==[ alpha ]==> ((^x.x)((^y.b) b)) 5. ==[ beta ]==> ((^y.b) b) 6. ==[ alpha ]==> ((^x.b) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114036/11050581. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114037/11050590. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 114038/11050617. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 114039/11050635. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.a))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 114040/11050644. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 114041/11050662. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.b))) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 114042/11050671. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a b)) REDUCED to normal form. ------ 114043/11050716. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 114044/11050752. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114045/11050779. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 114046/11050806. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 114047/11050833. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 114048/11050860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.b)) REDUCED to normal form. ------ 114049/11050977. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (((a a) b)(a (a (a a)))) REDUCED to normal form. ------ 114050/11051004. ------ 1. ==[ start ]==> (((a (^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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 114051/11051031. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)((a a) a))) 3. ==[ beta ]==> ((a (b a))((a a)((a a) a))) REDUCED to normal form. ------ 114052/11051580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 114053/11051616. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 114054/11051643. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 114055/11051661. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 114056/11051688. ------ 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. ------ 114057/11051697. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 114058/11051724. ------ 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.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 114059/11051742. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a) c)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a) c)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a) c)) 5. ==[ beta ]==> (((b a)(b a))(a c)) REDUCED to normal form. ------ 114060/11051805. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 114061/11051823. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (b ((^y.(^z.z)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114062/11051886. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.a))) REDUCED to normal form. ------ 114063/11051940. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 114064/11051967. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 114065/11051994. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 114066/11052111. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (a (^x.x)))) REDUCED to normal form. ------ 114067/11052138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b ((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))(b ((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b ((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))(b a)) REDUCED to normal form. ------ 114068/11052165. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (a (a a)))) REDUCED to normal form. ------ 114069/11052192. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a a))) 3. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 114070/11052219. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 114071/11052246. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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))(^y.y))((a a) a)) REDUCED to normal form. ------ 114072/11052327. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b c)) 3. ==[ beta ]==> ((b (a (^y.y)))(b c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(b c)) REDUCED to normal form. ------ 114073/11052381. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (a a))) REDUCED to normal form. ------ 114074/11052471. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114075/11052552. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 114076/11052660. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114077/11052696. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(a a))) 3. ==[ beta ]==> ((b c)((^y.y)(a a))) 4. ==[ alpha ]==> ((b c)((^x.x)(a a))) 5. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 114078/11052723. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 114079/11052767. ------ 1. ==[ start ]==> (^a.((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (^x.((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (^x.(b (^z.z))) 4. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 114080/11052768. ------ 1. ==[ start ]==> (a ((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (a ((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (a (b (^y.y))) 4. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 114081/11052771. ------ 1. ==[ start ]==> ((^a.a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 3. ==[ beta ]==> (^y.(y (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 114082/11060910. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a))) a) 2. ==[ alpha ]==> (((^x.x)(b (^y.y))) a) 3. ==[ beta ]==> ((b (^y.y)) a) 4. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 114083/11060916. ------ 1. ==[ start ]==> ((^a.a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (^z.z))) 4. ==[ alpha ]==> ((^x.x)(b (^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114084/11060919. ------ 1. ==[ start ]==> ((a a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 114085/11060970. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 114086/11061240. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)(^x1.x1))) 3. ==[ eta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114087/11061411. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 114088/11061861. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114089/11062017. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 114090/11062386. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((z z)(z z)))) 5. ==[ beta ]==> (a (^z.((z z)(z z)))) 6. ==[ alpha ]==> (a (^x.((x x)(x x)))) REDUCED to normal form. ------ 114091/11062626. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 114092/11063376. ------ 1. ==[ start ]==> (((a b)(a a))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 114093/11063997. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 114094/11064591. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114095/11064831. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114096/11065140. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.y))((a a)(^z.z))) b) 4. ==[ beta ]==> ((^y.y) b) 5. ==[ alpha ]==> ((^x.x) b) 6. ==[ beta ]==> b REDUCED to normal form. ------ 114097/11065380. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 114098/11066346. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^y.(a a))) REDUCED to normal form. ------ 114099/11066562. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 114100/11066760. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 114101/11067345. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.b))) REDUCED to normal form. ------ 114102/11067585. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((^y.(y y))(^z.a))((^y.(y y))(^z.a)))(((^y.(y y))(^z.a))((^y.(y y))(^z.a)))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.a))((^z.(z z))(^x1.a)))(((^y1.(y1 y1))(^z1.a))((^x2.(x2 x2))(^y2.a)))) 5. ==[ beta ]==> ((((^y.a)(^y.a))((^z.(z z))(^x1.a)))(((^y1.(y1 y1))(^z1.a))((^x2.(x2 x2))(^y2.a)))) 6. ==[ alpha ]==> ((((^x.a)(^y.a))((^z.(z z))(^x1.a)))(((^y1.(y1 y1))(^z1.a))((^x2.(x2 x2))(^y2.a)))) 7. ==[ beta ]==> ((a ((^z.(z z))(^x1.a)))(((^y1.(y1 y1))(^z1.a))((^x2.(x2 x2))(^y2.a)))) 8. ==[ alpha ]==> ((a ((^x.(x x))(^y.a)))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 9. ==[ beta ]==> ((a ((^y.a)(^y.a)))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 10. ==[ alpha ]==> ((a ((^x.a)(^y.a)))(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 11. ==[ beta ]==> ((a a)(((^z.(z z))(^x1.a))((^y1.(y1 y1))(^z1.a)))) 12. ==[ alpha ]==> ((a a)(((^x.(x x))(^y.a))((^z.(z z))(^x1.a)))) 13. ==[ beta ]==> ((a a)(((^y.a)(^y.a))((^z.(z z))(^x1.a)))) 14. ==[ alpha ]==> ((a a)(((^x.a)(^y.a))((^z.(z z))(^x1.a)))) 15. ==[ beta ]==> ((a a)(a ((^z.(z z))(^x1.a)))) 16. ==[ alpha ]==> ((a a)(a ((^x.(x x))(^y.a)))) 17. ==[ beta ]==> ((a a)(a ((^y.a)(^y.a)))) 18. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.a)))) 19. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 114103/11068110. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 114104/11068344. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 114105/11068452. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 114106/11068641. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^x.a)) REDUCED to normal form. ------ 114107/11068665. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114108/11068983. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.z))) 3. ==[ beta ]==> ((b c)(^y.(^z.z))) 4. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 114109/11069010. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 114110/11069055. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 114111/11069067. ------ 1. ==[ start ]==> ((a a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 114112/11069085. ------ 1. ==[ start ]==> (((^a.a) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) a)((b (^y.y)) a)) 3. ==[ beta ]==> (a ((b (^y.y)) a)) 4. ==[ alpha ]==> (a ((b (^x.x)) a)) REDUCED to normal form. ------ 114113/11069112. ------ 1. ==[ start ]==> (((a a) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 114114/11069121. ------ 1. ==[ start ]==> ((a b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 114115/11069139. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a)(^x.x))(b c)) REDUCED to normal form. ------ 114116/11069175. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 114117/11069364. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 114118/11069391. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 114119/11069400. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(c ((^z.z) b))) 3. ==[ beta ]==> ((^y.a)(c ((^z.z) b))) 4. ==[ alpha ]==> ((^x.a)(c ((^y.y) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 114120/11069427. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(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. ------ 114121/11069481. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(a a))) 5. ==[ beta ]==> (a (((a a)(a a))(a a))) REDUCED to normal form. ------ 114122/11069490. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 114123/11069508. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 114124/11069517. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) c) REDUCED to normal form. ------ 114125/11069562. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((b a)(a (a a)))) REDUCED to normal form. ------ 114126/11069670. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((^y.y)(a a)))(((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((((a a) a)(a a))(((a a) a)((^x.x)(a a)))) 9. ==[ beta ]==> ((((a a) a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 114127/11069697. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 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. ------ 114128/11069751. ------ 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)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 114129/11069778. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((a (a a))((a (^x.x)) b)) REDUCED to normal form. ------ 114130/11069805. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 114131/11069841. ------ 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. ------ 114132/11069868. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 114133/11069904. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 114134/11069976. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((b b)((a a)(^y.a))) 6. ==[ alpha ]==> ((b b)((a a)(^x.a))) REDUCED to normal form. ------ 114135/11069985. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 114136/11070012. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(a b))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 114137/11070111. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 114138/11070138. ------ 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. ------ 114139/11070165. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.(a a)))) REDUCED to normal form. ------ 114140/11070192. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 114141/11070219. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b) b)) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) b)) 5. ==[ beta ]==> ((a (^x.a))(b b)) REDUCED to normal form. ------ 114142/11070336. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 114143/11070363. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 114144/11070417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 114145/11070480. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(c (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (c (a (^y.(^z.z)))) 6. ==[ alpha ]==> (c (a (^x.(^y.y)))) REDUCED to normal form. ------ 114146/11070534. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(a ((a a)(a a)))) 5. ==[ beta ]==> (a (a ((a a)(a a)))) REDUCED to normal form. ------ 114147/11070570. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.y) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 114148/11070615. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a a) a)((b a)((^x.x) a))) 5. ==[ beta ]==> (((a a) a)((b a) a)) REDUCED to normal form. ------ 114149/11070642. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(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. ------ 114150/11070696. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a b)((a a) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a b)((a a) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)((a a) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((a b)((a a) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a b)((a a) a))) 7. ==[ beta ]==> ((a a)((a b)((a a) a))) REDUCED to normal form. ------ 114151/11070777. ------ 1. ==[ start ]==> ((a (^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 114152/11070849. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(b (^y.y))) 3. ==[ beta ]==> ((a (a (a a)))(b (^y.y))) 4. ==[ alpha ]==> ((a (a (a a)))(b (^x.x))) REDUCED to normal form. ------ 114153/11070903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 114154/11070930. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 114155/11070948. ------ 1. ==[ start ]==> (((^a.b) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b) a)((b a)(^y.a))) 3. ==[ beta ]==> (b ((b a)(^y.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 114156/11071110. ------ 1. ==[ start ]==> ((((a a) a) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 114157/11071164. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114158/11071218. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) a)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b a)) REDUCED to normal form. ------ 114159/11071245. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 114160/11071272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a) c)) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a) c)) 5. ==[ beta ]==> ((^y.a)((b a) c)) 6. ==[ alpha ]==> ((^x.a)((b a) c)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114161/11071362. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 114162/11071416. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 114163/11071497. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 114164/11071524. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 114165/11071560. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114166/11071587. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 114167/11071641. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 8. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 9. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 114168/11071722. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(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. ------ 114169/11071776. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)(((^y.y) a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 114170/11071803. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.z))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 114171/11071866. ------ 1. ==[ start ]==> (((a (a a))(^b.(^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. ------ 114172/11071893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((b a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(^z.z)))) 7. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 114173/11071920. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 114174/11071947. ------ 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 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(z z)))) REDUCED to normal form. ------ 114175/11071974. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 114176/11072037. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 114177/11072064. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((a ((a a) a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((a ((a a) a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 114178/11072091. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.a)((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) REDUCED to normal form. ------ 114179/11072118. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(b a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 114180/11072145. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((((a a) a) a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a) a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 114181/11072163. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 114182/11072172. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 114183/11072397. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (b (c ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 114184/11072460. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 114185/11072478. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a a))) REDUCED to normal form. ------ 114186/11072505. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 114187/11072514. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 114188/11072559. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a b)(a (a a)))) REDUCED to normal form. ------ 114189/11072640. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 114190/11072739. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 114191/11072793. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 114192/11072820. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 114193/11072847. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (a a)))) 7. ==[ beta ]==> ((^y.y)((^z.b)(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 9. ==[ beta ]==> ((^y.b)(a (a a))) 10. ==[ alpha ]==> ((^x.b)(a (a a))) 11. ==[ beta ]==> b REDUCED to normal form. ------ 114194/11072901. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 114195/11072928. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a b))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 114196/11072955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) a) REDUCED to normal form. ------ 114197/11072982. ------ 1. ==[ start ]==> ((a (b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 114198/11073261. ------ 1. ==[ start ]==> (((^a.a)(b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(b ((a a)(^y.y)))) 3. ==[ beta ]==> ((b a)(b ((a a)(^y.y)))) 4. ==[ alpha ]==> ((b a)(b ((a a)(^x.x)))) REDUCED to normal form. ------ 114199/11073288. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(a (b a))) 3. ==[ beta ]==> ((^y.y)(a (b a))) 4. ==[ alpha ]==> ((^x.x)(a (b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 114200/11073324. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 114201/11073342. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (((a b)(a b))((a a)(a (^y.y)))) 6. ==[ alpha ]==> (((a b)(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 114202/11073351. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 114203/11073423. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b ((^y.y)(^z.z))) 8. ==[ alpha ]==> (b ((^x.x)(^y.y))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114204/11073531. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((a a)(^x1.x1)))) REDUCED to normal form. ------ 114205/11073603. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 114206/11073630. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 114207/11073684. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 114208/11073711. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))((a a) a))) 3. ==[ beta ]==> (((a b)(a (a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 114209/11073738. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(a b))) 5. ==[ beta ]==> (((a a) a)((^y.a)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(a b))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 114210/11073765. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(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. ------ 114211/11073810. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114212/11073990. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 114213/11074098. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114214/11074107. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 114215/11074125. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 114216/11074152. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a a))) 7. ==[ beta ]==> ((^y.y)(a (a a))) 8. ==[ alpha ]==> ((^x.x)(a (a a))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 114217/11074206. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)((a a) a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a) a))) 9. ==[ beta ]==> (((a a)(a a))(a ((a a) a))) REDUCED to normal form. ------ 114218/11074296. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 114219/11074323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 114220/11074350. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((a a) a)(^z.a))) REDUCED to normal form. ------ 114221/11074404. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 114222/11074440. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 114223/11074467. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 114224/11074494. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a a))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a a))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 114225/11074521. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 114226/11074548. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 114227/11074602. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 114228/11074629. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 114229/11074656. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 114230/11074710. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(a a))) REDUCED to normal form. ------ 114231/11074746. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a a))) 3. ==[ beta ]==> ((^y.y)((a b)(a a))) 4. ==[ alpha ]==> ((^x.x)((a b)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 114232/11074773. ------ 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)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^z1.z1)))) 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. ------ 114233/11074908. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 114234/11075025. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 114235/11075052. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 114236/11075079. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 114237/11075106. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(^y1.b))) REDUCED to normal form. ------ 114238/11075187. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z)) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114239/11075340. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114240/11075376. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 114241/11075466. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b (^y.a))) 3. ==[ beta ]==> ((a (b a))(b (^y.a))) 4. ==[ alpha ]==> ((a (b a))(b (^x.a))) REDUCED to normal form. ------ 114242/11075493. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.b))) REDUCED to normal form. ------ 114243/11075547. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 114244/11075574. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> (((a b)((a a) a))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)((a a) a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a b)((a a) a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a b)((a a) a))(a a)) REDUCED to normal form. ------ 114245/11075601. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 114246/11075628. ------ 1. ==[ start ]==> ((((a 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)(^y1.y1)))) 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. ------ 114247/11075709. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 114248/11075736. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.a)(^y.a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 114249/11075772. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 5. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 114250/11075907. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (b (a ((^y.y) a))) 6. ==[ alpha ]==> (b (a ((^x.x) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 114251/11076051. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((b b)(a (^y.a))) 6. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 114252/11076078. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 114253/11076132. ------ 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. ------ 114254/11076159. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a (a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a)) b)) REDUCED to normal form. ------ 114255/11076258. ------ 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)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 114256/11076267. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 114257/11076321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 114258/11076366. ------ 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 (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. ------ 114259/11076402. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(^z.z))) REDUCED to normal form. ------ 114260/11076429. ------ 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. ------ 114261/11076465. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 114262/11076492. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a a))) REDUCED to normal form. ------ 114263/11076519. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 114264/11076546. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 114265/11076573. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 114266/11076600. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(x x))) REDUCED to normal form. ------ 114267/11076681. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.a))) REDUCED to normal form. ------ 114268/11076735. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 114269/11076762. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 114270/11076789. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y) a)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x) a)) 5. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 114271/11076816. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 114272/11076906. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114273/11076987. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 114274/11077095. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114275/11077131. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.y))) 3. ==[ beta ]==> ((b c)((a a)(^y.y))) 4. ==[ alpha ]==> ((b c)((a a)(^x.x))) REDUCED to normal form. ------ 114276/11077158. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a) a)) REDUCED to normal form. ------ 114277/11077203. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a a)) 3. ==[ beta ]==> ((b (^y.y))(a a)) 4. ==[ alpha ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 114278/11077224. ------ 1. ==[ start ]==> ((^a.(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114279/11085354. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a))) b) 2. ==[ alpha ]==> (((^x.x)(b (^y.y))) b) 3. ==[ beta ]==> ((b (^y.y)) b) 4. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 114280/11085378. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114281/11085381. ------ 1. ==[ start ]==> ((a (^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 114282/11085396. ------ 1. ==[ start ]==> ((^a.(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x x))((b (^y.y)) a)) 3. ==[ beta ]==> (((b (^y.y)) a)((b (^y.y)) a)) 4. ==[ alpha ]==> (((b (^x.x)) a)((b (^y.y)) a)) REDUCED to normal form. ------ 114283/11085423. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a)) b)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 114284/11085459. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114285/11085621. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 114286/11085768. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 114287/11086119. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.((a a)(a a)))) REDUCED to normal form. ------ 114288/11086188. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114289/11086314. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(^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. ------ 114290/11086488. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 114291/11086839. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (a (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 114292/11087259. ------ 1. ==[ start ]==> ((^a.(a b))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(x b))((b a)(^y.a))) 3. ==[ beta ]==> (((b a)(^y.a)) b) 4. ==[ alpha ]==> (((b a)(^x.a)) b) REDUCED to normal form. ------ 114293/11087646. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(a a))(^x1.(^y1.y1)))((^z.(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.((a a)((^y1.(a a))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))(^z.(^x1.x1))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 114294/11087853. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114295/11088162. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114296/11088765. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 114297/11089284. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114298/11089833. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 114299/11090121. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x1.x1)) a)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 114300/11090592. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 114301/11090724. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114302/11091039. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114303/11091213. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(^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. ------ 114304/11092428. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114305/11092563. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 114306/11092572. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 114307/11092680. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(a (a a)))) REDUCED to normal form. ------ 114308/11092797. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(z z)))) REDUCED to normal form. ------ 114309/11093118. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114310/11093436. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.a)) 3. ==[ beta ]==> ((b c)(^y.a)) 4. ==[ alpha ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 114311/11093463. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.b)) REDUCED to normal form. ------ 114312/11093508. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 114313/11093538. ------ 1. ==[ start ]==> ((a (^a.a))((^a.a)(b (^a.a)))) 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. ------ 114314/11093556. ------ 1. ==[ start ]==> ((a (a a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (a a))((b (^x.x)) a)) REDUCED to normal form. ------ 114315/11093583. ------ 1. ==[ start ]==> ((a b)(((a a)(a a)) b)) REDUCED to normal form. ------ 114316/11093619. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 114317/11093727. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 114318/11093754. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114319/11093781. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 114320/11093862. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 114321/11093898. ------ 1. ==[ start ]==> (((a (^a.a)) b)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(b ((a a)(a a)))) REDUCED to normal form. ------ 114322/11093925. ------ 1. ==[ start ]==> ((((^a.a) a) a)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(a (b (^y.y)))) 3. ==[ beta ]==> ((a a)(a (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 114323/11093952. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 114324/11093979. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (a (^x1.x1)))) REDUCED to normal form. ------ 114325/11094006. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))((^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. ------ 114326/11094114. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a b)(a b))) 3. ==[ beta ]==> ((a a)((a b)(a b))) REDUCED to normal form. ------ 114327/11094195. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (a a))(b a))) 3. ==[ beta ]==> ((a b)((a (a a))(b a))) REDUCED to normal form. ------ 114328/11094222. ------ 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. ------ 114329/11094249. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.y)) b)) REDUCED to normal form. ------ 114330/11094267. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(b (^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 114331/11094276. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 114332/11094348. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 114333/11094366. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 114334/11094393. ------ 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 z)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.(y y)))) REDUCED to normal form. ------ 114335/11094420. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114336/11094474. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 114337/11094483. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114338/11094564. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 7. ==[ beta ]==> ((^y.(y y))(b a)) 8. ==[ alpha ]==> ((^x.(x x))(b a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 114339/11094618. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114340/11094645. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 114341/11094699. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 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. ------ 114342/11094942. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.(^y2.y2))))) 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. ------ 114343/11094996. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (a (^y.(a a))) 8. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 114344/11095032. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(a a))) 5. ==[ beta ]==> (b (((^y.y) b)(a a))) 6. ==[ alpha ]==> (b (((^x.x) b)(a a))) 7. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 114345/11095059. ------ 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)))) REDUCED to normal form. ------ 114346/11095113. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) REDUCED to normal form. ------ 114347/11095140. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(x x)))((a a)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (^x.(x x)))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 114348/11095167. ------ 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. ------ 114349/11095194. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a b))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114350/11095221. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 114351/11095365. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 114352/11095392. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114353/11095419. ------ 1. ==[ start ]==> ((a (a b))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (a b))((b a)(^x.a))) REDUCED to normal form. ------ 114354/11095509. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.b)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.b)((a a) a))) IRREDUCIBLE: cycle. ------ 114355/11095590. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 114356/11095617. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(b a))) 3. ==[ beta ]==> ((a b)((^y.a)(b a))) 4. ==[ alpha ]==> ((a b)((^x.a)(b a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 114357/11095644. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114358/11095698. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 114359/11095779. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114360/11095806. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 114361/11095977. ------ 1. ==[ start ]==> (((^a.b) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 114362/11096013. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 114363/11096193. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(^y.y))(a b))) 3. ==[ beta ]==> (((a b) b)((^y.y)(a b))) 4. ==[ alpha ]==> (((a b) b)((^x.x)(a b))) 5. ==[ beta ]==> (((a b) b)(a b)) REDUCED to normal form. ------ 114364/11096220. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a) a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a a) a)((a (a a))(a a))) REDUCED to normal form. ------ 114365/11096247. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 114366/11096265. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (^z.a))) 3. ==[ beta ]==> ((^y.y)(c (^z.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 114367/11096274. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.z))(b a))) REDUCED to normal form. ------ 114368/11096319. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a (^x1.x1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a (^x1.x1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.y1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 9. ==[ beta ]==> ((^y.y)(a (^z.z))) 10. ==[ alpha ]==> ((^x.x)(a (^y.y))) 11. ==[ beta ]==> (a (^y.y)) 12. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 114369/11096400. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114370/11096499. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a (^x.x))(a b))(^z.b)) 6. ==[ alpha ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 114371/11096526. ------ 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.(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 114372/11096607. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 114373/11096634. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 114374/11096661. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((b a) b)) 3. ==[ beta ]==> (((a a)(a a))((b a) b)) REDUCED to normal form. ------ 114375/11096724. ------ 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 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. ------ 114376/11096859. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114377/11096868. ------ 1. ==[ start ]==> (((a b) c)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 114378/11096895. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(b (b a))) 3. ==[ beta ]==> (((a a) b)(b (b a))) REDUCED to normal form. ------ 114379/11096922. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 114380/11096976. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 114381/11097003. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.b))((a a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.b))((a a) a)) REDUCED to normal form. ------ 114382/11097057. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114383/11097084. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 114384/11097111. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a b))) REDUCED to normal form. ------ 114385/11097138. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 114386/11097165. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 114387/11097228. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((b a)(^y.y))) REDUCED to normal form. ------ 114388/11097255. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114389/11097282. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a a)(^x.a))) REDUCED to normal form. ------ 114390/11097309. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(z z)))) 7. ==[ beta ]==> ((^y.y)((a b)(^z.(z z)))) 8. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 9. ==[ beta ]==> ((a b)(^y.(y y))) 10. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 114391/11097336. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 114392/11097363. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b) a)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a b) a)(^y.a)) 8. ==[ alpha ]==> (((a b) a)(^x.a)) REDUCED to normal form. ------ 114393/11097390. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 114394/11097417. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(a a)))) REDUCED to normal form. ------ 114395/11097444. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114396/11097534. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114397/11097615. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114398/11097723. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))(^c.(^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. ------ 114399/11097786. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 114400/11097813. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 114401/11097867. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 114402/11097894. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.(x x)))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(^z.z))) 7. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 8. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 114403/11097921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (a a))((a a) a))) REDUCED to normal form. ------ 114404/11097948. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a b))) REDUCED to normal form. ------ 114405/11097993. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 114406/11098038. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 114407/11098065. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 114408/11098092. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)(^x.a))) REDUCED to normal form. ------ 114409/11098119. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 114410/11098146. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 114411/11098173. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 114412/11098200. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(^z.b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> (((a a) a)(a (^y.b))) 8. ==[ alpha ]==> (((a a) a)(a (^x.b))) REDUCED to normal form. ------ 114413/11098227. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 114414/11098281. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 114415/11098371. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a a)((^x.a)(^y.(y y)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 114416/11098452. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114417/11098569. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(a (^z.z)))) REDUCED to normal form. ------ 114418/11098596. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 114419/11098677. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 114420/11098704. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a b))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(a b))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114421/11098749. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 114422/11098857. ------ 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))(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. ------ 114423/11098884. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((a (^x.x))(^z.z)) 10. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 114424/11098929. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 114425/11098956. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(a a)))) REDUCED to normal form. ------ 114426/11098983. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a (a a))(a a))((a a) a)) REDUCED to normal form. ------ 114427/11099010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b) b)) 3. ==[ beta ]==> (((^y.y)(a b))((a b) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((a b) b)) 5. ==[ beta ]==> ((a b)((a b) b)) REDUCED to normal form. ------ 114428/11099163. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 114429/11099199. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a)) a)) 3. ==[ beta ]==> ((a b)((^y.(a a)) a)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 114430/11099370. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (^z.b))) 3. ==[ beta ]==> (b (b (^z.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 114431/11099478. ------ 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.y2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))((^y2.y2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114432/11099532. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114433/11099559. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114434/11099613. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 114435/11099694. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (b ((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 114436/11099703. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (a (a a)))) REDUCED to normal form. ------ 114437/11099730. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(c (^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 114438/11099757. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b ((a a) a))) REDUCED to normal form. ------ 114439/11099811. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a)(a a))) REDUCED to normal form. ------ 114440/11099838. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(a (^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(a (^z.z)))) 7. ==[ beta ]==> ((b (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 114441/11099982. ------ 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. ------ 114442/11100009. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 114443/11100036. ------ 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. ------ 114444/11100063. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.(z z)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 114445/11100090. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114446/11100144. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((a a) a) a)) REDUCED to normal form. ------ 114447/11100171. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((b (a a))((^y.y) b)) 6. ==[ alpha ]==> ((b (a a))((^x.x) b)) 7. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 114448/11100234. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114449/11100477. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 114450/11100558. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 114451/11100585. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114452/11100639. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 114453/11100702. ------ 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. ------ 114454/11100720. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 114455/11100729. ------ 1. ==[ start ]==> (((a b)(^a.b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 114456/11100783. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 114457/11100828. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114458/11100837. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(a (a a)))) REDUCED to normal form. ------ 114459/11100927. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 114460/11100954. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a a)(^y.(y y)))) REDUCED to normal form. ------ 114461/11100981. ------ 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. ------ 114462/11101008. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a) b)) 3. ==[ beta ]==> (((a (a a))(b a))(a b)) REDUCED to normal form. ------ 114463/11101089. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) a)) 3. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 114464/11101116. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a) b)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a) b)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a) b)) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 114465/11101197. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 114466/11101224. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114467/11101251. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.a))) REDUCED to normal form. ------ 114468/11101278. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a) a)) 3. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 114469/11101449. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114470/11101557. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114471/11101593. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(b a)) 3. ==[ beta ]==> ((b c)(b a)) REDUCED to normal form. ------ 114472/11101620. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a b)) REDUCED to normal form. ------ 114473/11101665. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (^z.z))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 114474/11104170. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.((^x1.x1) b))(^z.((^x1.x1) b)))) 4. ==[ alpha ]==> ((^x.x)((^y.((^z.z) b))(^x1.((^y1.y1) b)))) 5. ==[ beta ]==> ((^y.((^z.z) b))(^x1.((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) b))) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 114475/11107356. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114476/11109825. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a))) c) 2. ==[ alpha ]==> (((^x.x)(b (^y.y))) c) 3. ==[ beta ]==> ((b (^y.y)) c) 4. ==[ alpha ]==> ((b (^x.x)) c) REDUCED to normal form. ------ 114477/11109870. ------ 1. ==[ start ]==> (((^a.a) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> (a (^y.(y (^z.z)))) 4. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 114478/11109939. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114479/11110443. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a b)(a b))) 3. ==[ beta ]==> (((a b)(a b))(((a b)(a b))((a b)(a b)))) REDUCED to normal form. ------ 114480/11110668. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114481/11110977. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 114482/11112003. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 114483/11112333. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)((a ((^z.z) b))(a ((^z.z) b)))) 4. ==[ alpha ]==> ((^x.x)((a ((^y.y) b))(a ((^z.z) b)))) 5. ==[ beta ]==> ((a ((^y.y) b))(a ((^z.z) b))) 6. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) b))) 7. ==[ beta ]==> ((a b)(a ((^y.y) b))) 8. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 9. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 114484/11112336. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (a a))(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a (a a))(^x.((^y.y) b))) 5. ==[ beta ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 114485/11112651. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 114486/11112948. ------ 1. ==[ start ]==> (((^a.b) c)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 114487/11113245. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114488/11114334. ------ 1. ==[ start ]==> (((a a)(b a))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 114489/11114595. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114490/11115081. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 114491/11115204. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))(^b.(^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. ------ 114492/11115519. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114493/11115522. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 114494/11116908. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 114495/11116917. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 114496/11117052. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 114497/11117187. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^b.(^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. ------ 114498/11117412. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(x (x x)))) REDUCED to normal form. ------ 114499/11117916. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 114500/11117943. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a a))) REDUCED to normal form. ------ 114501/11117988. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.a)) 3. ==[ beta ]==> ((b (^y.y))(^z.a)) 4. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 114502/11118036. ------ 1. ==[ start ]==> (((^a.a) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (a ((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (a ((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 114503/11118054. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 114504/11118081. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 114505/11118108. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b c)) REDUCED to normal form. ------ 114506/11118117. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) 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. ------ 114507/11118144. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114508/11118225. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 114509/11118252. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 114510/11118387. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 114511/11118531. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b a)(a (a a)))) 3. ==[ beta ]==> (((a a) a)((b a)(a (a a)))) REDUCED to normal form. ------ 114512/11118558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 114513/11118585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a)((a a) a))) REDUCED to normal form. ------ 114514/11118612. ------ 1. ==[ start ]==> ((a (a (a a)))((a b)(a b))) REDUCED to normal form. ------ 114515/11118765. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (^z.(a a)))) REDUCED to normal form. ------ 114516/11118810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(a a))(^y.y))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 114517/11118837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 114518/11118927. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 114519/11118972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114520/11118999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 114521/11119062. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(x x))(b a))) 3. ==[ beta ]==> (((a (a a)) b)((b a)(b a))) REDUCED to normal form. ------ 114522/11119089. ------ 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. ------ 114523/11119107. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^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)) REDUCED to normal form. ------ 114524/11119116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 114525/11119143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(a a))) REDUCED to normal form. ------ 114526/11119170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 114527/11119188. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b) b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b) b)) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b b)) REDUCED to normal form. ------ 114528/11119197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 114529/11119224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114530/11119746. ------ 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. ------ 114531/11119773. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(b a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a (b a))) REDUCED to normal form. ------ 114532/11119800. ------ 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 (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 114533/11119827. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a (a a)) a)((a a)((^x.x) b))) 5. ==[ beta ]==> (((a (a a)) a)((a a) b)) REDUCED to normal form. ------ 114534/11119899. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 114535/11119917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.b)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.b)((b a)(^y.a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114536/11119998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)(^z.a))) IRREDUCIBLE: cycle. ------ 114537/11120061. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 114538/11120079. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))(^c.(^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. ------ 114539/11120088. ------ 1. ==[ start ]==> (((a b) a)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 114540/11120115. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(b a))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 114541/11120133. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 114542/11120169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) b)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) b)) 7. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 114543/11120187. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b) a)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b) a)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b a)) REDUCED to normal form. ------ 114544/11120196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 114545/11120223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114546/11120277. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 114547/11120466. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114548/11120475. ------ 1. ==[ start ]==> (((a b)(a a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 114549/11120502. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(a ((^y.y) b))) 3. ==[ beta ]==> ((a (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. ------ 114550/11120511. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z) a)) 3. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 4. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114551/11120538. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114552/11120592. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) d)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1)) d)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) d)) 7. ==[ beta ]==> ((^y.(^z.z)) d) 8. ==[ alpha ]==> ((^x.(^y.y)) d) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114553/11120763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (^z.a))) REDUCED to normal form. ------ 114554/11120817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 114555/11120844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(a a))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a a))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a a))((^y.(^z.(^x1.x1)))(a a))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114556/11120889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 114557/11120898. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 114558/11120925. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 114559/11121114. ------ 1. ==[ start ]==> (((^a.b) c)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 114560/11121357. ------ 1. ==[ start ]==> (((a b) c)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 114561/11121411. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 114562/11121429. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 114563/11121690. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)(b a))) REDUCED to normal form. ------ 114564/11122023. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z)) b)) 5. ==[ beta ]==> (b (((a a)(^z.z)) b)) 6. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 114565/11122167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.b)(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.b))) 5. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 114566/11122293. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 114567/11122500. ------ 1. ==[ start ]==> (((a a)(b a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 114568/11122761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114569/11122779. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114570/11123049. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114571/11123076. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 114572/11123103. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a) d)) 3. ==[ beta ]==> ((^y.y)((^z.a) d)) 4. ==[ alpha ]==> ((^x.x)((^y.a) d)) 5. ==[ beta ]==> ((^y.a) d) 6. ==[ alpha ]==> ((^x.a) d) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114573/11123193. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.b))) 5. ==[ beta ]==> ((^y.b)(c (^z.b))) 6. ==[ alpha ]==> ((^x.b)(c (^y.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114574/11123247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 114575/11123274. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 114576/11123301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 114577/11123346. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 114578/11123355. ------ 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))(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. ------ 114579/11123373. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 114580/11123652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114581/11123661. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (a b))) REDUCED to normal form. ------ 114582/11123688. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 114583/11123697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114584/11123724. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b) b)) 3. ==[ beta ]==> ((^y.y)((^z1.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. ------ 114585/11123967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))(^y2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114586/11123976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 114587/11124003. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((b a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 114588/11124021. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 7. ==[ beta ]==> (b (a (^y.(^z.z)))) 8. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 114589/11124030. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 114590/11124057. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 114591/11124102. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b) a)) REDUCED to normal form. ------ 114592/11124138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114593/11124165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 114594/11124192. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 114595/11124219. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 114596/11124291. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114597/11124363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((a (a a))((^y.y) a))) 4. ==[ alpha ]==> (((a a) b)((a (a a))((^x.x) a))) 5. ==[ beta ]==> (((a a) b)((a (a a)) a)) REDUCED to normal form. ------ 114598/11124390. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a (a a)))) REDUCED to normal form. ------ 114599/11124417. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 114600/11124444. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 114601/11124858. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z)) c)) 3. ==[ beta ]==> (b ((^z.(z z)) c)) 4. ==[ alpha ]==> (b ((^x.(x x)) c)) 5. ==[ beta ]==> (b (c c)) REDUCED to normal form. ------ 114602/11124966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^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. ------ 114603/11125002. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((b b)((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> ((b b)((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> ((b b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 114604/11125029. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 114605/11125047. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 114606/11125074. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 114607/11125083. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^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. ------ 114608/11125110. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 114609/11125128. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a)) b)) 3. ==[ beta ]==> (((b a)(b a))((a (a a)) b)) REDUCED to normal form. ------ 114610/11125191. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 114611/11125218. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 114612/11125326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.(x1 x1)))) REDUCED to normal form. ------ 114613/11125353. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^b.(^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. ------ 114614/11125380. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 114615/11125551. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a a))(b ((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b ((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(b a)) REDUCED to normal form. ------ 114616/11125578. ------ 1. ==[ start ]==> (((a b)(a b))(a (a (a a)))) REDUCED to normal form. ------ 114617/11125605. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a)(a a))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(a a))) 5. ==[ beta ]==> (((a a)((a a) a))(a (a a))) REDUCED to normal form. ------ 114618/11125632. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 114619/11125713. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c b)) 3. ==[ beta ]==> ((b (a (^y.y)))(c b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(c b)) REDUCED to normal form. ------ 114620/11125740. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b c)) REDUCED to normal form. ------ 114621/11125857. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114622/11125938. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 114623/11126046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114624/11126082. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 114625/11126109. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 114626/11126154. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 114627/11126180. ------ 1. ==[ start ]==> (^a.((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))((x x)(x x)))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114628/11126181. ------ 1. ==[ start ]==> (a ((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 114629/11126211. ------ 1. ==[ start ]==> ((^a.(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((^y.(y (^z.z)))(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 6. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 7. ==[ beta ]==> ((^z.z)(^y.y)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114630/11128668. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^z.(^x1.x1)))) 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. ------ 114631/11130936. ------ 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)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 114632/11131854. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114633/11133933. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114634/11134350. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a))) a) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a))) a) 3. ==[ beta ]==> ((^y.y) a) 4. ==[ alpha ]==> ((^x.x) a) 5. ==[ beta ]==> a REDUCED to normal form. ------ 114635/11134356. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((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. ------ 114636/11134383. ------ 1. ==[ start ]==> ((^a.(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(b (^z.z)))((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> ((b (^y.y))((^z.z)(b (^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(b (^z.z)))) 7. ==[ beta ]==> ((b (^x.x))(b (^z.z))) 8. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 114637/11134386. ------ 1. ==[ start ]==> ((a (a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 114638/11134491. ------ 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 z1)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114639/11134680. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114640/11134773. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(b (^z.z)))) 5. ==[ beta ]==> (a (^y.(b (^z.z)))) 6. ==[ alpha ]==> (a (^x.(b (^y.y)))) REDUCED to normal form. ------ 114641/11134851. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 114642/11135301. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114643/11135733. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))((^z2.(^x3.x3))(^y3.(^z3.z3)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 9. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114644/11136066. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 114645/11136246. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (^y1.y1))) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1))) b) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114646/11136510. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.(^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. ------ 114647/11136840. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114648/11136843. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.(^b.b))) 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. ------ 114649/11136852. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114650/11137455. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(^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. ------ 114651/11137464. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 114652/11137770. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 114653/11138058. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114654/11138271. ------ 1. ==[ start ]==> ((^a.(b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((^z.z)(a a)))) 3. ==[ eta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114655/11138820. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 114656/11139108. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^x1.x1)((a a)(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 114657/11139111. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 114658/11139579. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 114659/11139813. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(^x.(a a))) REDUCED to normal form. ------ 114660/11140026. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114661/11140029. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 114662/11140038. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 114663/11140632. ------ 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))(^y1.(y1 b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114664/11140812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.b))) 7. ==[ beta ]==> ((a a)(^y.(^z.b))) 8. ==[ alpha ]==> ((a a)(^x.(^y.b))) REDUCED to normal form. ------ 114665/11140974. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.((a a) a))) REDUCED to normal form. ------ 114666/11141025. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))(((^y.(^z.z))(^x1.(^y1.y1)))((^y.(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2))))(((^z2.(^x3.x3))(^y3.(^z3.z3)))((^x4.(^y4.y4))(^z4.(^x5.x5))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(^x1.(^y1.y1))))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))(((^z1.(^x2.x2))(^y2.(^z2.z2)))((^x3.(^y3.y3))(^z3.(^x4.x4))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 9. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))(^x2.(^y2.y2)))((^z2.(^x3.x3))(^y3.(^z3.z3))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.(^z2.z2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 15. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 16. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114667/11141424. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 114668/11141811. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(a (a a)))) REDUCED to normal form. ------ 114669/11141919. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 114670/11142027. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 114671/11142105. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114672/11142108. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 114673/11142198. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.x2)) 7. ==[ beta ]==> ((^y.(^z.z))(^x2.x2)) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114674/11142387. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114675/11142423. ------ 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. ------ 114676/11142450. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 114677/11142495. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(z z))) 3. ==[ beta ]==> ((b (^y.y))(^z.(z z))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(y y))) REDUCED to normal form. ------ 114678/11142522. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.z)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114679/11142534. ------ 1. ==[ start ]==> ((a a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 114680/11142561. ------ 1. ==[ start ]==> ((a (a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((a (a a))(b (^y.y))) 4. ==[ alpha ]==> ((a (a a))(b (^x.x))) REDUCED to normal form. ------ 114681/11142579. ------ 1. ==[ start ]==> (((a a) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a) a)((b (^x.x)) a)) REDUCED to normal form. ------ 114682/11142606. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 114683/11142633. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b) c)) 3. ==[ beta ]==> (b (((^y.y) b) c)) 4. ==[ alpha ]==> (b (((^x.x) b) c)) 5. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 114684/11142642. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.a)) 4. ==[ alpha ]==> (((a a)(a a))(^x.a)) REDUCED to normal form. ------ 114685/11142669. ------ 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 y1)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 114686/11142858. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 114687/11142948. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.y) a)(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x) a)(a (b (^y.y)))) 5. ==[ beta ]==> (a (a (b (^y.y)))) 6. ==[ alpha ]==> (a (a (b (^x.x)))) REDUCED to normal form. ------ 114688/11142975. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 114689/11143011. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 114690/11143029. ------ 1. ==[ start ]==> ((a (^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 114691/11143137. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)(a b))) 3. ==[ beta ]==> ((^y.(y y))((a b)(a b))) 4. ==[ alpha ]==> ((^x.(x x))((a b)(a b))) 5. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 114692/11143164. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 114693/11143218. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 114694/11143245. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 114695/11143272. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 114696/11143335. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 114697/11143371. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b)(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. ------ 114698/11143398. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 114699/11143443. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114700/11143479. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 114701/11143605. ------ 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. ------ 114702/11143632. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 114703/11143686. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (^y.a))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(a a)) a)) REDUCED to normal form. ------ 114704/11143713. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b b)) REDUCED to normal form. ------ 114705/11143830. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 114706/11143857. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 114707/11143911. ------ 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. ------ 114708/11144001. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(b ((^z.z) b))) 5. ==[ beta ]==> (a (b ((^z.z) b))) 6. ==[ alpha ]==> (a (b ((^x.x) b))) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 114709/11144037. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(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)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 114710/11144064. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.b) b)) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x) b)) 3. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 114711/11144082. ------ 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)))) REDUCED to normal form. ------ 114712/11144109. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((b a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((b a)((^y1.y1) 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. ------ 114713/11144163. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((a a)((^y.y)(^z.z)))) 10. ==[ alpha ]==> ((a a)((a a)((^x.x)(^y.y)))) 11. ==[ beta ]==> ((a a)((a a)(^y.y))) 12. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 114714/11144244. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 114715/11144343. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(b (^y.y))) 3. ==[ beta ]==> (((a (a a)) a)(b (^y.y))) 4. ==[ alpha ]==> (((a (a a)) a)(b (^x.x))) REDUCED to normal form. ------ 114716/11144397. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.b)(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. ------ 114717/11144415. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((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)))) REDUCED to normal form. ------ 114718/11144424. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 114719/11144577. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a) b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a) b)((^x.x)(^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. ------ 114720/11144604. ------ 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. ------ 114721/11144685. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 114722/11144712. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b a)) REDUCED to normal form. ------ 114723/11144739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (^a.(^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 REDUCED to normal form. ------ 114724/11144766. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a) c)) REDUCED to normal form. ------ 114725/11144829. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 114726/11144856. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 114727/11144910. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(^z.(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. ------ 114728/11144991. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 114729/11145018. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (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. ------ 114730/11145027. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.(a a))(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.(a a))(a ((^y.y) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114731/11145054. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 114732/11145108. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 114733/11145189. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 114734/11145243. ------ 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. ------ 114735/11145270. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 114736/11145324. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(a (^z.(^x1.x1))))) 9. ==[ beta ]==> ((^y.y)((a a)(a (^z.(^x1.x1))))) 10. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 11. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 12. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 114737/11145360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(^y1.y1))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.x1))) 7. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.x1))((a (^y.(^z.z)))(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1))) REDUCED to normal form. ------ 114738/11145387. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 114739/11145414. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z))(^x1.a))) REDUCED to normal form. ------ 114740/11145441. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 114741/11145477. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 114742/11145504. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 114743/11145531. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a ((a a) a))(^y.y)) 6. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 114744/11145558. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a (a a))(^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a a))) REDUCED to normal form. ------ 114745/11145585. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^y.a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 114746/11145612. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 114747/11145630. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 114748/11145639. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 114749/11145666. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 114750/11145945. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 114751/11145972. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a)(a a))) 3. ==[ beta ]==> ((^y.y)((b a)(a a))) 4. ==[ alpha ]==> ((^x.x)((b a)(a a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 114752/11146008. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 114753/11146026. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 114754/11146107. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((^z.z)(^x1.x1))((a 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. ------ 114755/11146233. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 114756/11146314. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z) a))) 9. ==[ beta ]==> ((^y.(a a))((^z.z) a)) 10. ==[ alpha ]==> ((^x.(a a))((^y.y) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114757/11146341. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a))) b) REDUCED to normal form. ------ 114758/11146368. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 114759/11146395. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.x1))((a 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. ------ 114760/11146422. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a b)(a b))) REDUCED to normal form. ------ 114761/11146449. ------ 1. ==[ start ]==> ((a (b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 114762/11146728. ------ 1. ==[ start ]==> (((^a.a)(b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(c ((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)(c ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)(c ((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)(c (a a))) REDUCED to normal form. ------ 114763/11146755. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(b ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(b ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(b ((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 114764/11146809. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 114765/11146818. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^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. ------ 114766/11146890. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (b (((a a) a)(a (a a)))) REDUCED to normal form. ------ 114767/11146998. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 114768/11147016. ------ 1. ==[ start ]==> (((a a)(b a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 114769/11147097. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 114770/11147124. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 114771/11147178. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 114772/11147205. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))((a a) a))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))((a a) a))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 114773/11147232. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 114774/11147286. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 114775/11147565. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114776/11147574. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 114777/11147592. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 114778/11147601. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 114779/11147619. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((^y.y) a)) 6. ==[ alpha ]==> (((a a) a)((^x.x) a)) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 114780/11147673. ------ 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)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x)(^y.y)))) 9. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 114781/11147754. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 114782/11147790. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 114783/11147817. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 114784/11147871. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.(y1 y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(x1 x1))) REDUCED to normal form. ------ 114785/11147907. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 10. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 114786/11147934. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 114787/11147961. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 114788/11147988. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((^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. ------ 114789/11148015. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 114790/11148042. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 114791/11148069. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 114792/11148096. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 114793/11148123. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 114794/11148177. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 114795/11148204. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 114796/11148213. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 114797/11148240. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((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. ------ 114798/11148375. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (b ((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 114799/11148492. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.a)) REDUCED to normal form. ------ 114800/11148519. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 114801/11148546. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 114802/11148654. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((a a) a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a) b)) 5. ==[ beta ]==> ((^y.(a a))(((a a) a) b)) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114803/11148681. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) c)) 5. ==[ beta ]==> ((((a a) a)(^x.b)) c) REDUCED to normal form. ------ 114804/11148708. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a)) d)) REDUCED to normal form. ------ 114805/11148807. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (a b))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114806/11148816. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 114807/11148843. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) b)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 114808/11148933. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a (b a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 114809/11148960. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b (^y.a))) REDUCED to normal form. ------ 114810/11148987. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(a (^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(a (^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a (^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(a (^z.b))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (^y.b))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 114811/11149014. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(a a))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 114812/11149041. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 114813/11149068. ------ 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.y1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))(((^z.z) a)((^z.z) a))) 8. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) a))) 9. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) a))) 10. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) a))) 11. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 114814/11149095. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 114815/11149149. ------ 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)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a a) a)) REDUCED to normal form. ------ 114816/11149176. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 114817/11149203. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 114818/11149374. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 114819/11149518. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 114820/11149545. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) 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. ------ 114821/11149599. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 114822/11149626. ------ 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. ------ 114823/11149725. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(b (a (a a)))) 3. ==[ beta ]==> (b (b (a (a a)))) REDUCED to normal form. ------ 114824/11149788. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 114825/11149833. ------ 1. ==[ start ]==> (((^a.(^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) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114826/11149896. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 114827/11149932. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 114828/11149959. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 114829/11149986. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 114830/11150013. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 114831/11150040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 114832/11150067. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 114833/11150094. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y y))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x x))) REDUCED to normal form. ------ 114834/11150202. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(z z)))) REDUCED to normal form. ------ 114835/11150229. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(a a))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 114836/11150256. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 114837/11150283. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 114838/11150373. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a ((^x2.x2) a))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114839/11150454. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 114840/11150562. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(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. ------ 114841/11150598. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y) b)) 3. ==[ beta ]==> ((b c)((^y.y) b)) 4. ==[ alpha ]==> ((b c)((^x.x) b)) 5. ==[ beta ]==> ((b c) b) REDUCED to normal form. ------ 114842/11150625. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.x))) REDUCED to normal form. ------ 114843/11150670. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (a a))) 3. ==[ beta ]==> ((b (^y.y))(a (a a))) 4. ==[ alpha ]==> ((b (^x.x))(a (a a))) REDUCED to normal form. ------ 114844/11150697. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a a)) 3. ==[ beta ]==> ((^y.y)(a a)) 4. ==[ alpha ]==> ((^x.x)(a a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114845/11158458. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114846/11158875. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a))) b) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a))) b) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114847/11158899. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114848/11158929. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 114849/11158944. ------ 1. ==[ start ]==> ((^a.b)((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.b)((b (^y.y)) a)) 3. ==[ beta ]==> b REDUCED to normal form. ------ 114850/11159142. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 114851/11159316. ------ 1. ==[ start ]==> (((a a)(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(b (^z.z)))) REDUCED to normal form. ------ 114852/11159709. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114853/11160396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((y y)(y y)))) 5. ==[ beta ]==> (b (^y.((y y)(y y)))) 6. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 114854/11160780. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(^y1.y1))) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 114855/11161062. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.(x x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((^x.(x x))(a (a a)))(^y.y)) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 114856/11161167. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(^y1.(y1 y1)))((^z.(^x1.x1))(^y1.(y1 y1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(x2 x2))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))(^x2.(x2 x2))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(^y1.(y1 y1))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(^y1.(y1 y1)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(x1 x1)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114857/11161386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114858/11161692. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 114859/11161998. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114860/11162049. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a) b)) 3. ==[ beta ]==> ((((b a) b)((b a) b))(^y.y)) 4. ==[ alpha ]==> ((((b a) b)((b a) b))(^x.x)) REDUCED to normal form. ------ 114861/11162304. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 114862/11162805. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)(^z.(a a)))) 3. ==[ eta ]==> (b (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 114863/11163150. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.(a a))) b) 4. ==[ beta ]==> ((a (^y.(a a))) b) 5. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 114864/11163654. ------ 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. ------ 114865/11164122. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 114866/11164245. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^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. ------ 114867/11164572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 114868/11164977. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(a z))) 3. ==[ eta ]==> (((^x.(x x))((a a)(^y.y))) a) 4. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y))) a) 5. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 114869/11165166. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114870/11165175. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(y1 b))) REDUCED to normal form. ------ 114871/11165559. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((((^y.y)(^z.z)) b)(((^y.y)(^z.z)) b))((((^y.y)(^z.z)) b)(((^y.y)(^z.z)) b))) 4. ==[ alpha ]==> (((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b))((((^y1.y1)(^z1.z1)) b)(((^x2.x2)(^y2.y2)) b))) 5. ==[ beta ]==> ((((^y.y) b)(((^z.z)(^x1.x1)) b))((((^y1.y1)(^z1.z1)) b)(((^x2.x2)(^y2.y2)) b))) 6. ==[ alpha ]==> ((((^x.x) b)(((^y.y)(^z.z)) b))((((^x1.x1)(^y1.y1)) b)(((^z1.z1)(^x2.x2)) b))) 7. ==[ beta ]==> ((b (((^y.y)(^z.z)) b))((((^x1.x1)(^y1.y1)) b)(((^z1.z1)(^x2.x2)) b))) 8. ==[ alpha ]==> ((b (((^x.x)(^y.y)) b))((((^z.z)(^x1.x1)) b)(((^y1.y1)(^z1.z1)) b))) 9. ==[ beta ]==> ((b ((^y.y) b))((((^z.z)(^x1.x1)) b)(((^y1.y1)(^z1.z1)) b))) 10. ==[ alpha ]==> ((b ((^x.x) b))((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 11. ==[ beta ]==> ((b b)((((^y.y)(^z.z)) b)(((^x1.x1)(^y1.y1)) b))) 12. ==[ alpha ]==> ((b b)((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1)) b))) 13. ==[ beta ]==> ((b b)(((^y.y) b)(((^z.z)(^x1.x1)) b))) 14. ==[ alpha ]==> ((b b)(((^x.x) b)(((^y.y)(^z.z)) b))) 15. ==[ beta ]==> ((b b)(b (((^y.y)(^z.z)) b))) 16. ==[ alpha ]==> ((b b)(b (((^x.x)(^y.y)) b))) 17. ==[ beta ]==> ((b b)(b ((^y.y) b))) 18. ==[ alpha ]==> ((b b)(b ((^x.x) b))) 19. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 114872/11165841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 114873/11166228. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(a (a a)))) REDUCED to normal form. ------ 114874/11166453. ------ 1. ==[ start ]==> (((a b)(a b))(^c.d)) 2. ==[ alpha ]==> (((a b)(a b))(^x.d)) REDUCED to normal form. ------ 114875/11166639. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114876/11166642. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.a))) REDUCED to normal form. ------ 114877/11166732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114878/11166813. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 114879/11166921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114880/11166957. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a a))) 3. ==[ beta ]==> ((b c)(^y.(a a))) 4. ==[ alpha ]==> ((b c)(^x.(a a))) REDUCED to normal form. ------ 114881/11167029. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 114882/11167056. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114883/11167086. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 114884/11167113. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.a)(b (^a.a)))) 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. ------ 114885/11167131. ------ 1. ==[ start ]==> ((a b)((b (^a.a)) a)) 2. ==[ alpha ]==> ((a b)((b (^x.x)) a)) REDUCED to normal form. ------ 114886/11167185. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) b) c)) 3. ==[ beta ]==> (((a a)(a a))(b c)) REDUCED to normal form. ------ 114887/11167221. ------ 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 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114888/11167302. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114889/11167329. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 114890/11167410. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 114891/11167437. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114892/11167446. ------ 1. ==[ start ]==> (((a (^a.a)) b)(c ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(c ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x)) b)(c b)) REDUCED to normal form. ------ 114893/11167473. ------ 1. ==[ start ]==> ((((^a.a) a) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(b ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 114894/11167500. ------ 1. ==[ start ]==> (((a a)(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(a (b (^y.y)))) REDUCED to normal form. ------ 114895/11167527. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 114896/11167554. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 114897/11167662. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 114898/11167743. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 114899/11167770. ------ 1. ==[ start ]==> (((a (a a)) a)((a (a a))(b a))) REDUCED to normal form. ------ 114900/11167797. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 114901/11167824. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^z.z)) b)) REDUCED to normal form. ------ 114902/11167851. ------ 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. ------ 114903/11167896. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 114904/11167914. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 114905/11167941. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 114906/11167968. ------ 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 z)))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 114907/11167995. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114908/11168031. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114909/11168058. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.b)(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.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. ------ 114910/11168112. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114911/11168166. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 114912/11168193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114913/11168544. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 114914/11168580. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((a a)(a a)))) 5. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 114915/11168607. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) b)(a a))) 3. ==[ beta ]==> ((((a a) a) a)(b (a a))) REDUCED to normal form. ------ 114916/11168661. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((b a) a)) REDUCED to normal form. ------ 114917/11168688. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 114918/11168715. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y)(a 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. ------ 114919/11168742. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)((a a) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)((a a) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114920/11168769. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 114921/11168940. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.x))) REDUCED to normal form. ------ 114922/11168967. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114923/11168976. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 114924/11169057. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(a a))((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 114925/11169138. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 114926/11169165. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 114927/11169192. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 114928/11169246. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) b)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 7. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 114929/11169354. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 114930/11169525. ------ 1. ==[ start ]==> (((^a.b) b)(c (b a))) 2. ==[ alpha ]==> (((^x.b) b)(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 114931/11169570. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 114932/11169741. ------ 1. ==[ start ]==> (((a b) b)(((a a) a)((a a) a))) REDUCED to normal form. ------ 114933/11169768. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a b))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a b))) 7. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 114934/11169795. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 114935/11169822. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 114936/11169867. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)(b (^z.(^x1.(^y1.y1))))) 10. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 11. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 12. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 114937/11169876. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 114938/11170020. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 114939/11170047. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)(^y.a))) REDUCED to normal form. ------ 114940/11170074. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(^z.b))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(^y.b))) 7. ==[ beta ]==> ((a ((a a) a))(^y.b)) 8. ==[ alpha ]==> ((a ((a a) a))(^x.b)) REDUCED to normal form. ------ 114941/11170101. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 114942/11170182. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 114943/11170209. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 114944/11170236. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a) b)) REDUCED to normal form. ------ 114945/11170272. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114946/11170407. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(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. ------ 114947/11170416. ------ 1. ==[ start ]==> (((a b) c)(d ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)(d ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b) c)(d (a a))) REDUCED to normal form. ------ 114948/11170443. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(c ((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a) b)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 114949/11170470. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (b a))) REDUCED to normal form. ------ 114950/11170488. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 114951/11170524. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a)(a a))) REDUCED to normal form. ------ 114952/11170551. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 114953/11170605. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a b)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114954/11170632. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 114955/11170659. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 114956/11170686. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a b))) REDUCED to normal form. ------ 114957/11170713. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (a a))) REDUCED to normal form. ------ 114958/11170803. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a)(^y.y))) 3. ==[ beta ]==> ((a (a b))((b a)(^y.y))) 4. ==[ alpha ]==> ((a (a b))((b a)(^x.x))) REDUCED to normal form. ------ 114959/11170830. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 114960/11170857. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 9. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 10. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 11. ==[ beta ]==> ((a a)(^y.a)) 12. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 114961/11170884. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((a b)(^x.(x x)))) REDUCED to normal form. ------ 114962/11170911. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 114963/11170965. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a (a a))(^y.b))) REDUCED to normal form. ------ 114964/11170992. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(a a)))) 3. ==[ beta ]==> ((a (b a))(a (^y.(a a)))) 4. ==[ alpha ]==> ((a (b a))(a (^x.(a a)))) REDUCED to normal form. ------ 114965/11171163. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 114966/11171271. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 114967/11171334. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(a (b a))) 3. ==[ beta ]==> ((a (^y.(a a)))(a (b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(a (b a))) REDUCED to normal form. ------ 114968/11171361. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 114969/11171415. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a b) a)) REDUCED to normal form. ------ 114970/11171442. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 114971/11171469. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 114972/11171496. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))((a a) a))) REDUCED to normal form. ------ 114973/11171613. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 114974/11171640. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 114975/11171667. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)(^y.a))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 114976/11171694. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(^y.(y y)))) REDUCED to normal form. ------ 114977/11171721. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^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. ------ 114978/11171775. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (^z.b))) REDUCED to normal form. ------ 114979/11171838. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 114980/11171919. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a a)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 114981/11172000. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 114982/11172117. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 114983/11172144. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 114984/11172225. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.y))) REDUCED to normal form. ------ 114985/11172252. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)((a a) a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)((a a) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 114986/11172297. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (b (b (^x1.(a a)))) 4. ==[ alpha ]==> (b (b (^x.(a a)))) REDUCED to normal form. ------ 114987/11172306. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 114988/11172432. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^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. ------ 114989/11172450. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 114990/11172477. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.a))) REDUCED to normal form. ------ 114991/11172504. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 114992/11172531. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 114993/11172558. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((a b)(((^y.y)(a a)) a)) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a)) a)) 7. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 114994/11172585. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b) b)) REDUCED to normal form. ------ 114995/11172612. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a) c)) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a) c)) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a) c)) REDUCED to normal form. ------ 114996/11172711. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(c ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(c ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 114997/11172756. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.(a a))) 6. ==[ alpha ]==> ((^x.x)(^y.(a a))) 7. ==[ beta ]==> (^y.(a a)) 8. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 114998/11172918. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 114999/11173080. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 6. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 7. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 115000/11173107. ------ 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.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115001/11173161. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a b)) REDUCED to normal form. ------ 115002/11173242. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115003/11173350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115004/11173359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (a b))) REDUCED to normal form. ------ 115005/11173386. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a)(a a))) 3. ==[ beta ]==> ((b (^y.y))(((a a) a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 115006/11173422. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 115007/11173557. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 115008/11173584. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^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. ------ 115009/11173611. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.a))) REDUCED to normal form. ------ 115010/11173638. ------ 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)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.(y y)))) REDUCED to normal form. ------ 115011/11173719. ------ 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. ------ 115012/11173746. ------ 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)))((^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. ------ 115013/11173782. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 115014/11174025. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 115015/11174106. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 115016/11174133. ------ 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 (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. ------ 115017/11174187. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 115018/11174250. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c ((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(c a)) REDUCED to normal form. ------ 115019/11174268. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115020/11174277. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (a (a a)))) REDUCED to normal form. ------ 115021/11174331. ------ 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))(a a))) REDUCED to normal form. ------ 115022/11174385. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1)) a)) REDUCED to normal form. ------ 115023/11174412. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 115024/11174475. ------ 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. ------ 115025/11174502. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.a))) REDUCED to normal form. ------ 115026/11174529. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(z z)))) REDUCED to normal form. ------ 115027/11174556. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a)) a)) REDUCED to normal form. ------ 115028/11174583. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a) b)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a) b)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a) b)) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 115029/11174664. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y)) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y)) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x)) a)) 5. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 115030/11174691. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 115031/11174772. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 115032/11174799. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 115033/11174826. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 115034/11174916. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115035/11174997. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 115036/11175105. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115037/11175141. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(a a))) 3. ==[ beta ]==> ((b c)((a a)(a a))) REDUCED to normal form. ------ 115038/11175168. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b a)) REDUCED to normal form. ------ 115039/11175213. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 115040/11175240. ------ 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 (^z.z))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 115041/11183499. ------ 1. ==[ start ]==> (((a a) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 115042/11183541. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115043/11183946. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 115044/11184045. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((a a) a))((((^y.y)(a a))((a a) a))(((^y.y)(a a))((a a) a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((((^y.y)(a a))((a a) a))(((^z.z)(a a))((a a) a)))) 5. ==[ beta ]==> (((a a)((a a) a))((((^y.y)(a a))((a a) a))(((^z.z)(a a))((a a) a)))) 6. ==[ alpha ]==> (((a a)((a a) a))((((^x.x)(a a))((a a) a))(((^y.y)(a a))((a a) a)))) 7. ==[ beta ]==> (((a a)((a a) a))(((a a)((a a) a))(((^y.y)(a a))((a a) a)))) 8. ==[ alpha ]==> (((a a)((a a) a))(((a a)((a a) a))(((^x.x)(a a))((a a) a)))) 9. ==[ beta ]==> (((a a)((a a) a))(((a a)((a a) a))((a a)((a a) a)))) REDUCED to normal form. ------ 115045/11184270. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 115046/11184606. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 115047/11184957. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 115048/11185632. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 115049/11185935. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)((b (a (^z.(^x1.x1))))(b (a (^z.(^x1.x1)))))) 4. ==[ alpha ]==> ((^x.x)((b (a (^y.(^z.z))))(b (a (^x1.(^y1.y1)))))) 5. ==[ beta ]==> ((b (a (^y.(^z.z))))(b (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((b (a (^x.(^y.y))))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115050/11186280. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115051/11188806. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115052/11189121. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115053/11189736. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.y1))) REDUCED to normal form. ------ 115054/11190546. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^x1.(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 115055/11190816. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 115056/11191041. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(y (y y)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(y (y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(x (x x)))) REDUCED to normal form. ------ 115057/11191200. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115058/11191374. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 115059/11191518. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.z))) 3. ==[ beta ]==> ((b c)(^y.(^z.z))) 4. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 115060/11191545. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115061/11191590. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.a)) 3. ==[ beta ]==> ((b (^y.y))(^z.a)) 4. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 115062/11191617. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.a)) 3. ==[ beta ]==> ((^y.y)(^z.a)) 4. ==[ alpha ]==> ((^x.x)(^y.a)) 5. ==[ beta ]==> (^y.a) 6. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 115063/11191665. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (a ((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(a a)))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 115064/11191692. ------ 1. ==[ start ]==> (((a a) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a a) a)(b (^y.y))) 4. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 115065/11191710. ------ 1. ==[ start ]==> (((^a.a)(a a))((b (^a.a)) 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. ------ 115066/11191737. ------ 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. ------ 115067/11191746. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115068/11191773. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 115069/11191800. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 115070/11191881. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 115071/11191935. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115072/11192016. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 115073/11192142. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) c)) 3. ==[ beta ]==> ((a (^x.(x x))) c) REDUCED to normal form. ------ 115074/11192160. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 115075/11192187. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 115076/11192214. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 115077/11192241. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 115078/11192394. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c (^z.z))) REDUCED to normal form. ------ 115079/11192421. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 115080/11192466. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 115081/11192601. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115082/11192628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.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. ------ 115083/11192691. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 115084/11192718. ------ 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. ------ 115085/11192736. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115086/11192745. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 115087/11192763. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 115088/11192772. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 115089/11192799. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.a))((a a)(a a))) REDUCED to normal form. ------ 115090/11192817. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 115091/11192853. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115092/11193150. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 115093/11193195. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y) b)) 3. ==[ beta ]==> (((a a) a)((^y.y) b)) 4. ==[ alpha ]==> (((a a) a)((^x.x) b)) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 115094/11193375. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)((a a) a))((^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. ------ 115095/11193402. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 115096/11193429. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a (a (a a)))(a (b a))) REDUCED to normal form. ------ 115097/11193456. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 115098/11193483. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a a)((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))((a a)((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 115099/11193528. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(a a))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115100/11193546. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115101/11193627. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))(^x1.(^y1.y1)))) IRREDUCIBLE: cycle. ------ 115102/11193690. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.a)(a b))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.a)(a b))) 3. ==[ beta ]==> ((((a a) a) b) a) REDUCED to normal form. ------ 115103/11193708. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 115104/11193717. ------ 1. ==[ start ]==> (((a b) a)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 115105/11193735. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))(^c.(^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. ------ 115106/11193744. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.b))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 115107/11193798. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 115108/11193816. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)(^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 115109/11193825. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z) b)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 115110/11193852. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115111/11193879. ------ 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)))(^z1.(^x2.x2)))) 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. ------ 115112/11193897. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a) c)) 2. ==[ alpha ]==> (((^x.b)(a a))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 115113/11194104. ------ 1. ==[ start ]==> (((a b)(a a))(c (b a))) REDUCED to normal form. ------ 115114/11194131. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 115115/11194167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115116/11194446. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 115117/11194473. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (^z.z))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 115118/11194500. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 115119/11194518. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 115120/11194743. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 115121/11194842. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1)) c)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) c)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) c)) 5. ==[ beta ]==> (((a a)(^y.y)) c) 6. ==[ alpha ]==> (((a a)(^x.x)) c) REDUCED to normal form. ------ 115122/11194986. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a b) c)((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 115123/11195013. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 115124/11195085. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115125/11195319. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 115126/11195346. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a a)(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(b a))) REDUCED to normal form. ------ 115127/11195652. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a) a)) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a) a)) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a) a)) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 115128/11195796. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 115129/11196129. ------ 1. ==[ start ]==> (((a a)(b a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(b a))((a (^x.x))(a a))) REDUCED to normal form. ------ 115130/11196156. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 115131/11196390. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115132/11196489. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b) c)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b) c)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b) c)) 5. ==[ beta ]==> ((a a)((a b) c)) REDUCED to normal form. ------ 115133/11196705. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 115134/11196732. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b) c)) 3. ==[ beta ]==> ((^y.y)((^z.b) c)) 4. ==[ alpha ]==> ((^x.x)((^y.b) c)) 5. ==[ beta ]==> ((^y.b) c) 6. ==[ alpha ]==> ((^x.b) c) 7. ==[ beta ]==> b REDUCED to normal form. ------ 115135/11196876. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 115136/11196930. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 115137/11196975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115138/11197002. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 115139/11197281. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115140/11197317. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (a b))) 3. ==[ beta ]==> ((a b)(b (a b))) REDUCED to normal form. ------ 115141/11197353. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a)) a)) 3. ==[ beta ]==> ((^y.y)((^z1.(a a)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a)) a) 6. ==[ alpha ]==> ((^x.(a a)) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115142/11197596. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115143/11197605. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 115144/11197632. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 115145/11197650. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 6. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 115146/11197659. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 115147/11197677. ------ 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.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 115148/11197686. ------ 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.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 115149/11197731. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(^z.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 115150/11197767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115151/11197794. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 115152/11197812. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (b ((^y.y) c)) 6. ==[ alpha ]==> (b ((^x.x) c)) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 115153/11197821. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 115154/11197848. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 115155/11197875. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 115156/11197929. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.b)) REDUCED to normal form. ------ 115157/11197992. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a a) b)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (((a a) b)(a (^y.y))) 8. ==[ alpha ]==> (((a a) b)(a (^x.x))) REDUCED to normal form. ------ 115158/11198019. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a)) a)) REDUCED to normal form. ------ 115159/11198046. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((a (b a))(a (a (a a)))) REDUCED to normal form. ------ 115160/11198073. ------ 1. ==[ start ]==> (((a (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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 115161/11198100. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a a)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)((a a) a))) 7. ==[ beta ]==> ((a a)((a a)((a a) a))) REDUCED to normal form. ------ 115162/11198352. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 115163/11198487. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 115164/11198631. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 115165/11198658. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 115166/11198676. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.a))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.a))) REDUCED to normal form. ------ 115167/11198703. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 115168/11198712. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 115169/11198739. ------ 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.y1)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 115170/11198757. ------ 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. ------ 115171/11198820. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 115172/11198847. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 115173/11198946. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115174/11198955. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.a))) REDUCED to normal form. ------ 115175/11198982. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(z z)))) REDUCED to normal form. ------ 115176/11199009. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 115177/11199072. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c c)) 3. ==[ beta ]==> (((a (^x.x)) b)(c c)) REDUCED to normal form. ------ 115178/11199207. ------ 1. ==[ start ]==> (((a b)(a b))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(b ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a b))(b a)) REDUCED to normal form. ------ 115179/11199234. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 115180/11199261. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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))(^y.y))(a (a a))) REDUCED to normal form. ------ 115181/11199315. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) a)) REDUCED to normal form. ------ 115182/11199396. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(b c)) REDUCED to normal form. ------ 115183/11199567. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 115184/11199675. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115185/11199711. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.y))) 3. ==[ beta ]==> ((b c)(b (^y.y))) 4. ==[ alpha ]==> ((b c)(b (^x.x))) REDUCED to normal form. ------ 115186/11199738. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 115187/11199783. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a) a)) 3. ==[ beta ]==> ((b (^y.y))((a a) a)) 4. ==[ alpha ]==> ((b (^x.x))((a a) a)) REDUCED to normal form. ------ 115188/11199810. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115189/11199836. ------ 1. ==[ start ]==> (^a.((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (^x.((^y.x)((^z.z) b))) 3. ==[ beta ]==> (^x.x) REDUCED to normal form. ------ 115190/11199837. ------ 1. ==[ start ]==> (a ((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 3. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115191/11199894. ------ 1. ==[ start ]==> ((^a.b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(y (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 115192/11208039. ------ 1. ==[ start ]==> ((^a.a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((^y.a)((^z.z) b)) 4. ==[ alpha ]==> ((^x.a)((^y.y) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 115193/11208066. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))((a a)(a a)))((^y.(^z.z))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115194/11208093. ------ 1. ==[ start ]==> ((^a.b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 115195/11208096. ------ 1. ==[ start ]==> ((a b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 115196/11208174. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^z.z)(^x1.a))(^y.y)) 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. ------ 115197/11208483. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 115198/11208534. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 115199/11209194. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 115200/11209749. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a) a)(a b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 115201/11209929. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(a a))) 3. ==[ beta ]==> (((^y.y)(a a)) b) 4. ==[ alpha ]==> (((^x.x)(a a)) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 115202/11210523. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3)))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.(^y3.y3))))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 7. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115203/11210562. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 115204/11211174. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 115205/11211198. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1)))(^z1.z1))((^z.(^x1.(^y1.y1)))(^z1.z1)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.(^x2.x2)))(^y2.y2)))(^z2.z2)) 5. ==[ beta ]==> (((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.y2)))(^z2.z2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1)))(^x2.x2)) 7. ==[ beta ]==> ((^y.y)(^x2.x2)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115206/11211480. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 115207/11211768. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 115208/11211954. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(y y))(a b))) 3. ==[ eta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 115209/11212317. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^a.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(b y))) 3. ==[ eta ]==> (((^x.(x x))(a b)) b) 4. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 115210/11212503. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 115211/11212791. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((^z1.z1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115212/11213073. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((y1 y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((y1 y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115213/11213523. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 115214/11213709. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115215/11213748. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2)(z1 z1)))) 3. ==[ beta ]==> ((^y.y)(^z1.((^x2.x2)(z1 z1)))) 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. ------ 115216/11214522. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 115217/11214684. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.((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. ------ 115218/11214990. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 115219/11215521. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a (a a)))) REDUCED to normal form. ------ 115220/11215629. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 115221/11215737. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 115222/11215788. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115223/11215962. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 115224/11216133. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 115225/11216178. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.b)) 3. ==[ beta ]==> ((b (^y.y))(^z.b)) 4. ==[ alpha ]==> ((b (^x.x))(^y.b)) REDUCED to normal form. ------ 115226/11216205. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(z z))) 3. ==[ beta ]==> ((^y.y)(^z.(z z))) 4. ==[ alpha ]==> ((^x.x)(^y.(y y))) 5. ==[ beta ]==> (^y.(y y)) 6. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 115227/11216244. ------ 1. ==[ start ]==> ((a a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 115228/11216271. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 115229/11216298. ------ 1. ==[ start ]==> ((a b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> ((a b)(b (^y.y))) 4. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 115230/11216316. ------ 1. ==[ start ]==> (((a a)(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 115231/11216343. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a)) b)) 3. ==[ beta ]==> (b (((a a)(a a)) b)) REDUCED to normal form. ------ 115232/11216370. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 115233/11216379. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.a)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 115234/11216514. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 115235/11216658. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b ((a a)(a a)))) 5. ==[ beta ]==> (a (b ((a a)(a a)))) REDUCED to normal form. ------ 115236/11216685. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 115237/11216739. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 115238/11216847. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((((^y.y)(a a))((a a) a))(((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> (((a a)((a a) a))(((^y.y)(a a))((a a) a))) 8. ==[ alpha ]==> (((a a)((a a) a))(((^x.x)(a a))((a a) a))) 9. ==[ beta ]==> (((a a)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 115239/11216874. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 115240/11216928. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 115241/11216955. ------ 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. ------ 115242/11216982. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 115243/11217036. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 115244/11217108. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(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. ------ 115245/11217135. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 115246/11217153. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(^y.(y y)))) 3. ==[ beta ]==> ((b b)((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((b b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 115247/11217288. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 115248/11217342. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 115249/11217369. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 115250/11217396. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.(a a)))) REDUCED to normal form. ------ 115251/11217423. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a)) a)) REDUCED to normal form. ------ 115252/11217450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b) b)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b) b)) 5. ==[ beta ]==> ((^y.y)(((^z.z) b) b)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 7. ==[ beta ]==> (((^y.y) b) b) 8. ==[ alpha ]==> (((^x.x) b) b) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 115253/11217486. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115254/11217567. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 115255/11217594. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 115256/11217711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(c (a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (c (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 115257/11217792. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(a a))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b)(a a))) 5. ==[ beta ]==> (((a a) a)(b (a a))) REDUCED to normal form. ------ 115258/11217819. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 115259/11217828. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) c)) 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. ------ 115260/11217873. ------ 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)((^y.y) a))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a a)(((a a)(^y.y))(a (a a)))) 8. ==[ alpha ]==> ((a a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 115261/11217954. ------ 1. ==[ start ]==> ((a (^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.b))(((a a) a)(a b))) REDUCED to normal form. ------ 115262/11218080. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b (^z.z))) 5. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 115263/11218125. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 115264/11218134. ------ 1. ==[ start ]==> ((a (a b))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 115265/11218287. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 115266/11218314. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a b) a)(^y.(a a))) 6. ==[ alpha ]==> (((a b) a)(^x.(a a))) REDUCED to normal form. ------ 115267/11218341. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 115268/11218395. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 115269/11218422. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 115270/11218449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b) a)) 5. ==[ beta ]==> ((^y.a)(((^z.z) b) a)) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115271/11218476. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 115272/11218503. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a) c)) 2. ==[ alpha ]==> (((a b)(^x.x))((b a) c)) REDUCED to normal form. ------ 115273/11218539. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 115274/11218566. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(a a)) REDUCED to normal form. ------ 115275/11218593. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 115276/11218647. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (a ((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(a a)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 115277/11218728. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 115278/11218737. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(a a))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.(a a))(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115279/11218764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 115280/11218818. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 115281/11218899. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 115282/11218953. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a b))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> ((a a)((^y.y)(a b))) 8. ==[ alpha ]==> ((a a)((^x.x)(a b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 115283/11218980. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (a a))((^z.z)(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. ------ 115284/11219034. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(b a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))(b a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))(b a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))(b a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(b a))) 9. ==[ beta ]==> ((^y.y)((a (^z.z))(b a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 11. ==[ beta ]==> ((a (^y.y))(b a)) 12. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 115285/11219097. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 115286/11219124. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 115287/11219151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 115288/11219187. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 115289/11219214. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a b)) b) REDUCED to normal form. ------ 115290/11219268. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 115291/11219295. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((^y.y)(a a)))) 8. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((^y.y)(a a)))) 9. ==[ beta ]==> ((a (a a))((a a)((^y.y)(a a)))) 10. ==[ alpha ]==> ((a (a a))((a a)((^x.x)(a a)))) 11. ==[ beta ]==> ((a (a a))((a a)(a a))) REDUCED to normal form. ------ 115292/11219322. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 115293/11219340. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(^d.a))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 115294/11219349. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 115295/11219376. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 115296/11219403. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 115297/11219655. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (b a))) 3. ==[ beta ]==> (((a a)(^y.y))(b (b a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (b a))) REDUCED to normal form. ------ 115298/11219682. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 5. ==[ beta ]==> (a (a (^y.(^z.z)))) 6. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 115299/11219691. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 115300/11219736. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 115301/11219817. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((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. ------ 115302/11219970. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 115303/11220051. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 115304/11220078. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b) a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 115305/11220132. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 115306/11220159. ------ 1. ==[ start ]==> ((a (b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((a (b a))((^x.(x x))(a b))) 3. ==[ beta ]==> ((a (b a))((a b)(a b))) REDUCED to normal form. ------ 115307/11220519. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(a (b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(a (b a))) 3. ==[ beta ]==> (((a b)(a b))(a (b a))) REDUCED to normal form. ------ 115308/11220582. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 115309/11220600. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a b)((^y.y) a))) 3. ==[ beta ]==> (b ((a b)((^y.y) a))) 4. ==[ alpha ]==> (b ((a b)((^x.x) a))) 5. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 115310/11220708. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 115311/11220726. ------ 1. ==[ start ]==> (((a a)(b a))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(c (^x.(a a)))) REDUCED to normal form. ------ 115312/11220753. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 115313/11220807. ------ 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))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 115314/11220834. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 115315/11220861. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.b)((^x1.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. ------ 115316/11220888. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 115317/11220915. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 115318/11220942. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 115319/11220987. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115320/11220996. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 115321/11221275. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(a ((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115322/11221302. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 115323/11221311. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 115324/11221329. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 115325/11221383. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a (a a)))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a (a a)))) 9. ==[ beta ]==> (((a a)(a a))((^y.y)(a (a a)))) 10. ==[ alpha ]==> (((a a)(a a))((^x.x)(a (a a)))) 11. ==[ beta ]==> (((a a)(a a))(a (a a))) REDUCED to normal form. ------ 115326/11221464. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (^x1.x1))(a b))) 3. ==[ beta ]==> (b ((a (^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((a (^x.x))(a b))) REDUCED to normal form. ------ 115327/11221527. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 115328/11221581. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a)(^x1.a))) REDUCED to normal form. ------ 115329/11221617. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 115330/11221644. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 10. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 115331/11221671. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 115332/11221698. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 115333/11221725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 115334/11221752. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 115335/11221779. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 115336/11221833. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 115337/11221887. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 115338/11221914. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 115339/11221923. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 115340/11221950. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(a ((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (a ((^y.y)(a a))) 6. ==[ alpha ]==> (a ((^x.x)(a a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 115341/11222085. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 115342/11222202. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 115343/11222229. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 115344/11222256. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 115345/11222283. ------ 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.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 115346/11222364. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b) a)) 5. ==[ beta ]==> ((^y.(a a))((a b) a)) 6. ==[ alpha ]==> ((^x.(a a))((a b) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115347/11222391. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a) b)) REDUCED to normal form. ------ 115348/11222418. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z) c)) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y) c)) 5. ==[ beta ]==> (((a b)(^x.a)) c) REDUCED to normal form. ------ 115349/11222517. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b ((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115350/11222553. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.b) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.b) a)) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 115351/11222697. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(b (^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(b (^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(b (^z.a))) 6. ==[ alpha ]==> (((^x.x)(a a))(b (^y.a))) 7. ==[ beta ]==> ((a a)(b (^y.a))) 8. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 115352/11222724. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.b))) REDUCED to normal form. ------ 115353/11222751. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(a a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(a a))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 115354/11222778. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 115355/11222805. ------ 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 y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(((^z.z) a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a ((^z.z) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a ((^y.y) a))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a a)) REDUCED to normal form. ------ 115356/11222859. ------ 1. ==[ start ]==> (((a (^a.(^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)(^x2.x2)))) 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. ------ 115357/11222886. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)((a a) a))) 3. ==[ beta ]==> ((b (a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((b (a a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((b (a a))((a a) a)) REDUCED to normal form. ------ 115358/11223084. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115359/11223192. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 115360/11223228. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((b b)(^y.y)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 115361/11223255. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 115362/11223300. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c d)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c d)) 3. ==[ beta ]==> ((^y.y)(c d)) 4. ==[ alpha ]==> ((^x.x)(c d)) 5. ==[ beta ]==> (c d) REDUCED to normal form. ------ 115363/11223309. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 115364/11223336. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115365/11223417. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a c)) REDUCED to normal form. ------ 115366/11223435. ------ 1. ==[ start ]==> (((^a.b)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(c ((^y.y) a))) 3. ==[ beta ]==> (b (c ((^y.y) a))) 4. ==[ alpha ]==> (b (c ((^x.x) a))) 5. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 115367/11223498. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 115368/11223543. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115369/11223552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 115370/11223642. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 115371/11223669. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 115372/11223696. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 115373/11223723. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (a a))) REDUCED to normal form. ------ 115374/11223750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 115375/11223777. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 115376/11223804. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 115377/11223831. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(y y))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 115378/11223912. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.a))) REDUCED to normal form. ------ 115379/11223939. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.(z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 115380/11223966. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 115381/11223993. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 115382/11224083. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (a (^x2.x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(b (a (^x2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115383/11224164. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 115384/11224272. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115385/11224308. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) a)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) a)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 115386/11224335. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x) b)) 3. ==[ beta ]==> ((((a a)(a a)) b) b) REDUCED to normal form. ------ 115387/11224380. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a b)) 3. ==[ beta ]==> ((b (^y.y))(a b)) 4. ==[ alpha ]==> ((b (^x.x))(a b)) REDUCED to normal form. ------ 115388/11224407. ------ 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))) 4. ==[ alpha ]==> ((^x.x)(a (a a))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 115389/11224442. ------ 1. ==[ start ]==> (^a.(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (^x.(((^y.y) x)(^z.z))) 3. ==[ beta ]==> (^x.(x (^z.z))) 4. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 115390/11224443. ------ 1. ==[ start ]==> (a (((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 3. ==[ beta ]==> (a (a (^y.y))) 4. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 115391/11224500. ------ 1. ==[ start ]==> ((^a.b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 115392/11232648. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b)) a) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y)) a) 3. ==[ beta ]==> ((a (^y.y)) a) 4. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 115393/11232654. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((^y.y) a)(^z.z)) 4. ==[ alpha ]==> (((^x.x) a)(^y.y)) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 115394/11232663. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115395/11232711. ------ 1. ==[ start ]==> ((a b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115396/11232720. ------ 1. ==[ start ]==> (((^a.a)(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 115397/11232789. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((((^z.z) b) c)(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b) c)(^y.y)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 115398/11232906. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.b))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 115399/11233107. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(b (^y1.y1)))) REDUCED to normal form. ------ 115400/11233599. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^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. ------ 115401/11233827. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 115402/11234187. ------ 1. ==[ start ]==> ((((a a) a) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 115403/11234544. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((((^y.y) b)(^z.z)) b) 4. ==[ alpha ]==> ((((^x.x) b)(^y.y)) b) 5. ==[ beta ]==> ((b (^y.y)) b) 6. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 115404/11235177. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115405/11235813. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a (^z.(^x1.x1))) a)((a (^z.(^x1.x1))) a))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a))(^y1.y1)) REDUCED to normal form. ------ 115406/11236095. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(^y1.(^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. ------ 115407/11236104. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 115408/11236569. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(^y.b))) 3. ==[ eta ]==> (b ((a (a a))(^y.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 115409/11236662. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(z a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(z a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(z a))) 5. ==[ beta ]==> (b (^z.(z a))) 6. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 115410/11236941. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(b y))) 3. ==[ eta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 115411/11237406. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x1.x1))(^y1.(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 115412/11237688. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115413/11237697. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 115414/11238009. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115415/11238138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 115416/11238363. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)(^z1.(^x2.(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. ------ 115417/11238966. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(z b))) 3. ==[ beta ]==> ((b (^y.y))(^z.(z b))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(y b))) REDUCED to normal form. ------ 115418/11239299. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.a))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.a))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.a))) REDUCED to normal form. ------ 115419/11239323. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((a a) a) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((a a) a) a)) 3. ==[ beta ]==> (((((a a) a) a)(((a a) a) a))((((a a) a) a)(((a a) a) a))) REDUCED to normal form. ------ 115420/11239767. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^x.(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 115421/11239911. ------ 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)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 115422/11240136. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 115423/11240403. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115424/11240721. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((b c)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((b c)(^x.(x (^y.y)))) REDUCED to normal form. ------ 115425/11240748. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a a))) REDUCED to normal form. ------ 115426/11240793. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a a))) REDUCED to normal form. ------ 115427/11240820. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 115428/11240856. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 115429/11240868. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a a)(a (^y.y))) 4. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 115430/11240877. ------ 1. ==[ start ]==> ((a (^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 115431/11240904. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115432/11240931. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 115433/11240976. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 115434/11241003. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (a (^x.x)))(b c)) REDUCED to normal form. ------ 115435/11241012. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115436/11241039. ------ 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 x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115437/11241120. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 115438/11241228. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115439/11241291. ------ 1. ==[ start ]==> (((a a)(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(b ((a a)(a a)))) REDUCED to normal form. ------ 115440/11241318. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (b (^x1.x1)))) REDUCED to normal form. ------ 115441/11241345. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 115442/11241381. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y) c)) 3. ==[ beta ]==> (((a a) a)((^y.y) c)) 4. ==[ alpha ]==> (((a a) a)((^x.x) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 115443/11241453. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 115444/11241534. ------ 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. ------ 115445/11241561. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a)) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a (a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 115446/11241588. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(b a))) REDUCED to normal form. ------ 115447/11241615. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115448/11241642. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 115449/11241660. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 115450/11241669. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 115451/11241705. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 115452/11241732. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(^z.z)))) REDUCED to normal form. ------ 115453/11241759. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 115454/11241786. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 115455/11241813. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^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. ------ 115456/11241822. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115457/11241849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a a) a)) 6. ==[ alpha ]==> ((^x.(a a))((a a) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115458/11241957. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 7. ==[ beta ]==> ((^y.(y y))(b a)) 8. ==[ alpha ]==> ((^x.(x x))(b a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 115459/11241984. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115460/11242038. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a a)(a a))) REDUCED to normal form. ------ 115461/11242281. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115462/11242335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115463/11242371. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(b ((^z.z) b))) 3. ==[ beta ]==> (((^y.y) b)(b ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x) b)(b ((^y.y) b))) 5. ==[ beta ]==> (b (b ((^y.y) b))) 6. ==[ alpha ]==> (b (b ((^x.x) b))) 7. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 115464/11242398. ------ 1. ==[ start ]==> ((((a a) a) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 115465/11242452. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) REDUCED to normal form. ------ 115466/11242479. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((b a)((^z.z) a))) 3. ==[ beta ]==> ((a (^y.(y y)))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((b a)((^y.y) a))) 5. ==[ beta ]==> ((a (^x.(x x)))((b a) a)) REDUCED to normal form. ------ 115467/11242506. ------ 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. ------ 115468/11242533. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115469/11242560. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 115470/11242758. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((a (a b))(b (^y.y))) 4. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 115471/11242767. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115472/11242929. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.a)(a b))) 3. ==[ beta ]==> (b ((^z.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 115473/11242956. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 115474/11242983. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 115475/11243037. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 115476/11243118. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 115477/11243361. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115478/11243388. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115479/11243532. ------ 1. ==[ start ]==> (((a b) b)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((a b)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b) b)((a b)(^y.y))) 4. ==[ alpha ]==> (((a b) b)((a b)(^x.x))) REDUCED to normal form. ------ 115480/11243559. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 115481/11243586. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(a b))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 115482/11243613. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a (a a))(a a))) REDUCED to normal form. ------ 115483/11243667. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 115484/11243694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))((a a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (((a a)(a (^y.(^z.z))))((a a)(a (^y.(^z.z))))) 8. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115485/11243739. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(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. ------ 115486/11243811. ------ 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.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 115487/11243838. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 115488/11243892. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a (a a))(^x.x))(^z.b)) 8. ==[ alpha ]==> (((a (a a))(^x.x))(^y.b)) REDUCED to normal form. ------ 115489/11243919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 115490/11244000. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 115491/11244027. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 115492/11244198. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115493/11244306. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.(^z.(^x1.x1))) 8. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 115494/11244315. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115495/11244342. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a)(a a))) 3. ==[ beta ]==> ((a (^y.b))((b a)(a a))) 4. ==[ alpha ]==> ((a (^x.b))((b a)(a a))) REDUCED to normal form. ------ 115496/11244396. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115497/11244423. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a b)(a (a a)))) REDUCED to normal form. ------ 115498/11244450. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)((^y.y)(^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. ------ 115499/11244477. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 115500/11244504. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((a (a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a b))) REDUCED to normal form. ------ 115501/11244621. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((b a)(^x.x))) REDUCED to normal form. ------ 115502/11244648. ------ 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 a)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115503/11244675. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)(^y.a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)(^x.a))) REDUCED to normal form. ------ 115504/11244702. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b) a)((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a b) a)((a b)(^x.(x x)))) REDUCED to normal form. ------ 115505/11244729. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 115506/11244783. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((a (b a))((a (a a))(^x.b))) REDUCED to normal form. ------ 115507/11244873. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.z)(b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.z)(b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(b a))) 5. ==[ beta ]==> (b ((^z.z)(b a))) 6. ==[ alpha ]==> (b ((^x.x)(b a))) 7. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 115508/11244954. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115509/11245062. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(^z.b))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.b))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.b))) 5. ==[ beta ]==> ((b a)((^y.b)(^y.b))) 6. ==[ alpha ]==> ((b a)((^x.b)(^y.b))) 7. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 115510/11245089. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.a)(^y1.(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. ------ 115511/11245125. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.(a a)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 115512/11245152. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(a (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(a (b a))) REDUCED to normal form. ------ 115513/11245206. ------ 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))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 115514/11245233. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a b) a)) REDUCED to normal form. ------ 115515/11245260. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 115516/11245287. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 115517/11245431. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a b))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 115518/11245458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 115519/11245485. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^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. ------ 115520/11245512. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 115521/11245539. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 10. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 115522/11245620. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 115523/11245629. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115524/11245710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 115525/11245791. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115526/11245908. ------ 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. ------ 115527/11245935. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 115528/11246016. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 115529/11246043. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a (a a))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a (a a))((^y.y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 115530/11246088. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (^x1.b))) 3. ==[ beta ]==> (b (c (^x1.b))) 4. ==[ alpha ]==> (b (c (^x.b))) REDUCED to normal form. ------ 115531/11246097. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(a b))) REDUCED to normal form. ------ 115532/11246124. ------ 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)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 115533/11246196. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115534/11246223. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 115535/11246241. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 115536/11246268. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 115537/11246322. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 115538/11246349. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 115539/11246376. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a)) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a) a)) REDUCED to normal form. ------ 115540/11246403. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b) b)) 3. ==[ beta ]==> (((a b)(^y.y))((a b) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((a b) b)) REDUCED to normal form. ------ 115541/11246547. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115542/11246574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.z1)(^x2.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)(^x2.(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. ------ 115543/11246709. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (d (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (d (^x.(^y.y)))) REDUCED to normal form. ------ 115544/11246817. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115545/11246871. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115546/11246898. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(a (a a))) 6. ==[ alpha ]==> ((^x.(x x))(a (a a))) 7. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 115547/11246952. ------ 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.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 115548/11247033. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 115549/11247150. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b ((a a) a))) REDUCED to normal form. ------ 115550/11247177. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a (a b))) 3. ==[ beta ]==> ((b (^y.y))(a (a b))) 4. ==[ alpha ]==> ((b (^x.x))(a (a b))) REDUCED to normal form. ------ 115551/11247213. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a) b)) 3. ==[ beta ]==> (((a a) b)((^y.a) b)) 4. ==[ alpha ]==> (((a a) b)((^x.a) b)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 115552/11247240. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1)) c)) 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. ------ 115553/11247375. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 115554/11247402. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115555/11247429. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 115556/11247483. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 115557/11247510. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a a)(^y.a))) 3. ==[ beta ]==> ((b (a a))((a a)(^y.a))) 4. ==[ alpha ]==> ((b (a a))((a a)(^x.a))) REDUCED to normal form. ------ 115558/11247537. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a) a)) REDUCED to normal form. ------ 115559/11247573. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 115560/11247816. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 115561/11247897. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 115562/11247924. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115563/11247933. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c d)) REDUCED to normal form. ------ 115564/11247978. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 115565/11248059. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> (b ((^y.a)(^z.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 115566/11248068. ------ 1. ==[ start ]==> (((a b)(^a.b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(c ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.b))(c a)) REDUCED to normal form. ------ 115567/11248122. ------ 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)))) 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. ------ 115568/11248176. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (a (^x1.x1)))) REDUCED to normal form. ------ 115569/11248203. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 115570/11248230. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 115571/11248266. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 115572/11248293. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.(^z.z)))) REDUCED to normal form. ------ 115573/11248320. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 115574/11248347. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 115575/11248374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a)) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 115576/11248401. ------ 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. ------ 115577/11248428. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a)) c)) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x)) c)) REDUCED to normal form. ------ 115578/11248482. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 115579/11248590. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.x))) REDUCED to normal form. ------ 115580/11248617. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 115581/11248707. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.(^x3.x3)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115582/11248788. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 115583/11248896. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115584/11248932. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (a (^y.y)))) 3. ==[ beta ]==> ((b c)(a (a (^y.y)))) 4. ==[ alpha ]==> ((b c)(a (a (^x.x)))) REDUCED to normal form. ------ 115585/11248959. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(a a))) REDUCED to normal form. ------ 115586/11249004. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 115587/11249031. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115588/11249067. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a a)) 3. ==[ beta ]==> ((a (^y.y))(a a)) 4. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 115589/11257281. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b)) b) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y)) b) 3. ==[ beta ]==> ((a (^y.y)) b) 4. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 115590/11257305. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115591/11257371. ------ 1. ==[ start ]==> (((a a)(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 115592/11257386. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115593/11257890. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((^z.z)(^x1.x1)))((((a a)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y.y))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((((a a)(^x1.x1))((^y1.y1)(^z1.z1)))(((a a)(^x2.x2))((^y2.y2)(^z2.z2))))) 5. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((((a a)(^x1.x1))((^y1.y1)(^z1.z1)))(((a a)(^x2.x2))((^y2.y2)(^z2.z2))))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))((^x1.x1)(^y1.y1)))(((a a)(^z1.z1))((^x2.x2)(^y2.y2))))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))(^y1.y1))(((a a)(^z1.z1))((^x2.x2)(^y2.y2))))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))(^x1.x1))(((a a)(^y1.y1))((^z1.z1)(^x2.x2))))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))(^x1.x1))(((a a)(^y1.y1))(^x2.x2)))) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((((a a)(^z.z))(^x1.x1))(((a a)(^y1.y1))(^z1.z1)))) REDUCED to normal form. ------ 115594/11258478. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 115595/11258829. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 115596/11259180. ------ 1. ==[ start ]==> (((^a.b) a)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 115597/11259504. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.x1)) 5. ==[ beta ]==> (((^y.y)(^z.a))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.a))(^z.z)) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 115598/11259573. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a) c)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a) c)) 3. ==[ beta ]==> (^y.(((b a) c)((b a) c))) 4. ==[ alpha ]==> (^x.(((b a) c)((b a) c))) REDUCED to normal form. ------ 115599/11260152. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 115600/11260746. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 115601/11261025. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^c.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(b a))) 3. ==[ beta ]==> ((a (a b))(^y.(b a))) 4. ==[ alpha ]==> ((a (a b))(^x.(b a))) REDUCED to normal form. ------ 115602/11261304. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 5. ==[ beta ]==> (b (^z.(^x1.a))) 6. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 115603/11262339. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115604/11262582. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115605/11262651. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115606/11262966. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c ((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115607/11263419. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))(^z.(a a))) a) 4. ==[ beta ]==> (((^y.y)(^z.(a a))) a) 5. ==[ alpha ]==> (((^x.x)(^y.(a a))) a) 6. ==[ beta ]==> ((^y.(a a)) a) 7. ==[ alpha ]==> ((^x.(a a)) a) 8. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115608/11263608. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(^a.b))) 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. ------ 115609/11263779. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.((a a) a))) REDUCED to normal form. ------ 115610/11264283. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^a.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.y))) 3. ==[ beta ]==> ((b b)(^y.(^z.y))) 4. ==[ alpha ]==> ((b b)(^x.(^y.x))) REDUCED to normal form. ------ 115611/11264409. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115612/11264553. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 115613/11264913. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z (z z)))) REDUCED to normal form. ------ 115614/11264994. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^y.a)) REDUCED to normal form. ------ 115615/11265045. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115616/11265363. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115617/11265435. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115618/11265498. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115619/11265528. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 115620/11265537. ------ 1. ==[ start ]==> (((^a.a) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) b))) 3. ==[ beta ]==> (a ((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115621/11265564. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 115622/11265591. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 115623/11265609. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 115624/11265663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115625/11265672. ------ 1. ==[ start ]==> (((a a) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 3. ==[ beta ]==> (((a a) b)(^y.a)) 4. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 115626/11265699. ------ 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 y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 115627/11265807. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 115628/11265888. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 115629/11265915. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 115630/11265942. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 115631/11266032. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a) a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x) 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. ------ 115632/11266059. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 115633/11266086. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((b a)(a (a a)))) REDUCED to normal form. ------ 115634/11266113. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 115635/11266320. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 115636/11266428. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((b b)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((b b)((^x.(^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((b b)(^y.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 115637/11266473. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115638/11266554. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 115639/11266563. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a)) b) a) REDUCED to normal form. ------ 115640/11266590. ------ 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. ------ 115641/11266617. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 115642/11266635. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115643/11266644. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 115644/11266671. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 115645/11266698. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 115646/11267022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115647/11267094. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> ((^y.y)((^y1.y1) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 115648/11267247. ------ 1. ==[ start ]==> (((a a)((a a) a))(((a a) a)(a b))) REDUCED to normal form. ------ 115649/11267274. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a a))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 9. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 115650/11267301. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a (a a)))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 115651/11267328. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a (a a)) a)(a (b a))) REDUCED to normal form. ------ 115652/11267355. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115653/11267382. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a a))((a a)((^x.x) b))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a) b)) REDUCED to normal form. ------ 115654/11267400. ------ 1. ==[ start ]==> (((^a.b) a)(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 115655/11267418. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> ((^y.b)(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.z))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115656/11267499. ------ 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 x1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 115657/11267562. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a) b) b) REDUCED to normal form. ------ 115658/11267580. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(^z.b))) 3. ==[ beta ]==> (b (((a a) a)(^z.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 115659/11267589. ------ 1. ==[ start ]==> (((a b) a)((^c.a)(a b))) 2. ==[ alpha ]==> (((a b) a)((^x.a)(a b))) 3. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 115660/11267607. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a b)(^y.(a a))) 8. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 115661/11267616. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 115662/11267670. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 115663/11267688. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 115664/11267697. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 115665/11267724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((^y.a)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.a)((^y.y)((^z.z) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115666/11267751. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 115667/11267769. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 115668/11267778. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115669/11267796. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a) c)) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a) c)) REDUCED to normal form. ------ 115670/11267967. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115671/11268093. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2))) b)) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 8. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115672/11268318. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 115673/11268345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(b (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(x x))(b (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> ((b (^y.(^z.(^x1.x1))))(b (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> ((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 115674/11268372. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 115675/11268390. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 115676/11268399. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 115677/11268615. ------ 1. ==[ start ]==> (((^a.b) c)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 115678/11268714. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 115679/11268858. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 115680/11268885. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> (((a a) b)((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 115681/11268912. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 115682/11268966. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115683/11269191. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(a ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 115684/11269218. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 115685/11269245. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a a)(b a))) 3. ==[ beta ]==> ((a (a b))((a a)(b a))) REDUCED to normal form. ------ 115686/11269605. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (b (((^z.z)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 115687/11269668. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 115688/11269776. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))(^c.(^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. ------ 115689/11269875. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a)) c)) 3. ==[ beta ]==> (b ((^y.(a a)) c)) 4. ==[ alpha ]==> (b ((^x.(a a)) c)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115690/11270001. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a a)(b a))(a (a b))) REDUCED to normal form. ------ 115691/11270028. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 115692/11270055. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 115693/11270262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115694/11270280. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115695/11270361. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a a)(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a)) b)) 7. ==[ beta ]==> ((a a)((a a) b)) REDUCED to normal form. ------ 115696/11270604. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115697/11270748. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.b))) REDUCED to normal form. ------ 115698/11270775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (^y.(a a)))) REDUCED to normal form. ------ 115699/11270802. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 115700/11270847. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115701/11270856. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 115702/11270874. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 115703/11271153. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115704/11271189. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c ((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c ((a a) a))) 3. ==[ beta ]==> ((a b)(c ((a a) a))) REDUCED to normal form. ------ 115705/11271468. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115706/11271477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 115707/11271504. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((b a)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((b a)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 115708/11271522. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (b ((^y.y)(^z.a))) 8. ==[ alpha ]==> (b ((^x.x)(^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 115709/11271531. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 115710/11271549. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(y y)))) 5. ==[ beta ]==> ((a (a a))(^y.(y y))) 6. ==[ alpha ]==> ((a (a a))(^x.(x x))) REDUCED to normal form. ------ 115711/11271558. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 115712/11271639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(a b))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(a b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115713/11271666. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 115714/11271684. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a) b)) 3. ==[ beta ]==> (b (((a a) a) b)) REDUCED to normal form. ------ 115715/11271693. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 115716/11271720. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 115717/11271747. ------ 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 z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.(x1 x1))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1)))) IRREDUCIBLE: cycle. ------ 115718/11271828. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.b))) 5. ==[ beta ]==> ((b (^x.x))(^z.b)) 6. ==[ alpha ]==> ((b (^x.x))(^y.b)) REDUCED to normal form. ------ 115719/11271864. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a)(a a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(a a))) REDUCED to normal form. ------ 115720/11271891. ------ 1. ==[ start ]==> (((a (^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))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 115721/11271918. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((a (b a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((a (b a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((a (b a))((a (a a)) a)) REDUCED to normal form. ------ 115722/11271945. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 115723/11271972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((a (^y.y))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((a (^x.x))(^z.z))) 10. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 115724/11271999. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)((a a) a))) REDUCED to normal form. ------ 115725/11272224. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 115726/11272359. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 115727/11272503. ------ 1. ==[ start ]==> ((((^a.a) b) b)(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(a (^y.a))) 3. ==[ beta ]==> ((b b)(a (^y.a))) 4. ==[ alpha ]==> ((b b)(a (^x.a))) REDUCED to normal form. ------ 115728/11272530. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 115729/11272548. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 115730/11272575. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 115731/11272584. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 115732/11272611. ------ 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 (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 115733/11272629. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 115734/11272692. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 115735/11272710. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a) c)) 3. ==[ beta ]==> (b (((^y.y) a) c)) 4. ==[ alpha ]==> (b (((^x.x) a) c)) 5. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 115736/11272719. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 115737/11272773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 115738/11272818. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115739/11272854. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 115740/11272881. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 115741/11273079. ------ 1. ==[ start ]==> (((a b)(a b))(c (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(c (a (^x.x)))) REDUCED to normal form. ------ 115742/11273106. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(b ((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a) a))(b ((^y.y) a))) 4. ==[ alpha ]==> (((a a)((a a) a))(b ((^x.x) a))) 5. ==[ beta ]==> (((a a)((a a) a))(b a)) REDUCED to normal form. ------ 115743/11273133. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a (a a)))) REDUCED to normal form. ------ 115744/11273187. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^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)))) REDUCED to normal form. ------ 115745/11273214. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((b (a (^x.x)))((a a) a)) REDUCED to normal form. ------ 115746/11273268. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(c b)) REDUCED to normal form. ------ 115747/11273358. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1)) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2)) b)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2)) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115748/11273439. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a 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. ------ 115749/11273547. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115750/11273583. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((b c)(^y.(^z.z))) 6. ==[ alpha ]==> ((b c)(^x.(^y.y))) REDUCED to normal form. ------ 115751/11273610. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.x))) REDUCED to normal form. ------ 115752/11273655. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(^z.z))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 115753/11273682. ------ 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)) 4. ==[ alpha ]==> ((^x.x)((a a) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 115754/11273718. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 115755/11273735. ------ 1. ==[ start ]==> (^a.((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((^y.(y y))(x (^z.(^x1.x1))))) 3. ==[ beta ]==> (^x.((x (^z.(^x1.x1)))(x (^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(x (^x1.(^y1.y1))))) REDUCED to normal form. ------ 115756/11273736. ------ 1. ==[ start ]==> (a ((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115757/11274558. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115758/11275629. ------ 1. ==[ start ]==> ((^a.(a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((^y.(^z.(y y))) b) 4. ==[ alpha ]==> ((^x.(^y.(x x))) b) 5. ==[ beta ]==> (^y.(b b)) 6. ==[ alpha ]==> (^x.(b b)) REDUCED to normal form. ------ 115759/11276898. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^z.(a (^x1.(^y1.y1))))(^z.(a (^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> (((^x.(a (^y.(^z.z))))(^x1.(a (^y1.(^z1.z1)))))(^x2.x2)) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x2.x2)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 115760/11280408. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.((a a) a))) 3. ==[ beta ]==> (((^y.((a a) a))(^y.((a a) a)))((^y.((a a) a))(^y.((a a) a)))) 4. ==[ alpha ]==> (((^x.((a a) a))(^y.((a a) a)))((^z.((a a) a))(^x1.((a a) a)))) 5. ==[ beta ]==> (((a a) a)((^z.((a a) a))(^x1.((a a) a)))) 6. ==[ alpha ]==> (((a a) a)((^x.((a a) a))(^y.((a a) a)))) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 115761/11281941. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b)) c) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y)) c) 3. ==[ beta ]==> ((a (^y.y)) c) 4. ==[ alpha ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 115762/11281959. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z)))) a) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z)))) a) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 115763/11281965. ------ 1. ==[ start ]==> ((^a.a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 115764/11281992. ------ 1. ==[ start ]==> ((^a.(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((^y.a)((^z.z) b))((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.a)((^y.y) b))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1) b))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115765/11282019. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 115766/11282460. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 115767/11282784. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115768/11282787. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 115769/11283342. ------ 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. ------ 115770/11283516. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((y y)(y y)))) 3. ==[ beta ]==> (((a a) a)(^y.((y y)(y y)))) 4. ==[ alpha ]==> (((a a) a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 115771/11283675. ------ 1. ==[ start ]==> ((^a.(^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((a b)((a a) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 115772/11283855. ------ 1. ==[ start ]==> ((^a.(a b))(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a (^y.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a))) b) 4. ==[ alpha ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 115773/11283858. ------ 1. ==[ start ]==> ((a (a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 115774/11284173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.(^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. ------ 115775/11285124. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^z.z)(a (^x1.(^y1.y1))))((^z.z)(a (^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a (^y.(^z.z))))((^x1.x1)(a (^y1.(^z1.z1)))))(^x2.x2)) 5. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1)))))(^x2.x2)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z)(a (^x1.(^y1.y1)))))(^z1.z1)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^x1.(^y1.y1))))(^z1.z1)) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 115776/11285127. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115777/11285721. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 115778/11285880. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))((a a) a))) 3. ==[ eta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115779/11286429. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a (a a))((a a) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 115780/11286717. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.a)(a b))) 3. ==[ beta ]==> (((^x1.a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.a)(a b))(^y.(^z.z))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 115781/11287026. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 115782/11287476. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^x.(a a))) REDUCED to normal form. ------ 115783/11287635. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115784/11288088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.b))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115785/11288475. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 115786/11288634. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)((a a) a))) 3. ==[ beta ]==> ((((^y.y)((a a) a))((^y.y)((a a) a)))(((^y.y)((a a) a))((^y.y)((a a) a)))) 4. ==[ alpha ]==> ((((^x.x)((a a) a))((^y.y)((a a) a)))(((^z.z)((a a) a))((^x1.x1)((a a) a)))) 5. ==[ beta ]==> ((((a a) a)((^y.y)((a a) a)))(((^z.z)((a a) a))((^x1.x1)((a a) a)))) 6. ==[ alpha ]==> ((((a a) a)((^x.x)((a a) a)))(((^y.y)((a a) a))((^z.z)((a a) a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)((a a) a))((^z.z)((a a) a)))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)((a a) a))((^y.y)((a a) a)))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((^y.y)((a a) a)))) 10. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)((^x.x)((a a) a)))) 11. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 115787/11288637. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.((a a) a))) REDUCED to normal form. ------ 115788/11288808. ------ 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. ------ 115789/11289366. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115790/11289474. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (a a)))) REDUCED to normal form. ------ 115791/11289582. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 115792/11289690. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 115793/11289714. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115794/11290032. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.b)) 3. ==[ beta ]==> ((b c)(^y.b)) 4. ==[ alpha ]==> ((b c)(^x.b)) REDUCED to normal form. ------ 115795/11290131. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.b)) 3. ==[ beta ]==> ((^y.y)(^z.b)) 4. ==[ alpha ]==> ((^x.x)(^y.b)) 5. ==[ beta ]==> (^y.b) 6. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 115796/11290167. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.a)) 3. ==[ beta ]==> ((a (^y.y))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 115797/11290185. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 115798/11290197. ------ 1. ==[ start ]==> ((a a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115799/11290215. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 115800/11290224. ------ 1. ==[ start ]==> ((a (a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 115801/11290251. ------ 1. ==[ start ]==> ((a b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 115802/11290296. ------ 1. ==[ start ]==> (((^a.a) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x) b)((b (^y.y)) a)) 3. ==[ beta ]==> (b ((b (^y.y)) a)) 4. ==[ alpha ]==> (b ((b (^x.x)) a)) REDUCED to normal form. ------ 115803/11290323. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 115804/11290350. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b) c)) 3. ==[ beta ]==> (((a a) b)(b c)) REDUCED to normal form. ------ 115805/11290467. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 115806/11290494. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 115807/11290638. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(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. ------ 115808/11290692. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 115809/11290800. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 9. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^y1.y1))) 10. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 115810/11290827. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 115811/11290881. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 115812/11290908. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((^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. ------ 115813/11290935. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 115814/11290989. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 115815/11291016. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 115816/11291088. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 115817/11291106. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))(^x1.a))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))(^x1.a))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 115818/11291115. ------ 1. ==[ start ]==> (((a (a a))(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.(^y.y))) REDUCED to normal form. ------ 115819/11291241. ------ 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. ------ 115820/11291322. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 115821/11291349. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 115822/11291403. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a)) a)) 5. ==[ beta ]==> ((^y.y)(((a a)(a a)) a)) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a)) a)) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 115823/11291439. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115824/11291466. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 115825/11291547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 115826/11291574. ------ 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. ------ 115827/11291745. ------ 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. ------ 115828/11291772. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b)(a a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a a))) 5. ==[ beta ]==> (((^y.y) b)(a a)) 6. ==[ alpha ]==> (((^x.x) b)(a a)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 115829/11291781. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 115830/11291826. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((b a)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((b a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)((^z.z) a))) 5. ==[ beta ]==> ((a ((^y.y) a))((b a)((^z.z) a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((b a)((^y.y) a))) 7. ==[ beta ]==> ((a a)((b a)((^y.y) a))) 8. ==[ alpha ]==> ((a a)((b a)((^x.x) a))) 9. ==[ beta ]==> ((a a)((b a) a)) REDUCED to normal form. ------ 115831/11291907. ------ 1. ==[ start ]==> ((a (^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.b))((a b)((a a) a))) REDUCED to normal form. ------ 115832/11292060. ------ 1. ==[ start ]==> ((((a a) a)(a a))(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a a))(b (^x.x))) REDUCED to normal form. ------ 115833/11292087. ------ 1. ==[ start ]==> ((a (a b))(a (^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))(a (^x.(a a)))) REDUCED to normal form. ------ 115834/11292240. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a) b)((a b)(^x.a))) REDUCED to normal form. ------ 115835/11292267. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.b))) REDUCED to normal form. ------ 115836/11292294. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(a a))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 115837/11292375. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 115838/11292402. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)(^z.z))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115839/11292429. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) b) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 115840/11292456. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 115841/11292546. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 115842/11292573. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 115843/11292627. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(^x1.(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. ------ 115844/11292654. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a a))(^y.y)) 6. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 115845/11292690. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(c (b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (b a))) 3. ==[ beta ]==> ((^y.(a a))(c (b a))) 4. ==[ alpha ]==> ((^x.(a a))(c (b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115846/11292717. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 115847/11292771. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(a a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 115848/11292852. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(a (a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(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. ------ 115849/11292906. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 115850/11292933. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 7. ==[ beta ]==> ((^y.y)(a b)) 8. ==[ alpha ]==> ((^x.x)(a b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 115851/11292987. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((a a)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((a a)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((a a)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(((^z.z) a)((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 11. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 12. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 13. ==[ beta ]==> (a ((a a)(^y.y))) 14. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 115852/11293077. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) REDUCED to normal form. ------ 115853/11293104. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 115854/11293167. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a a)) REDUCED to normal form. ------ 115855/11293194. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 115856/11293248. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 115857/11293275. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a) a)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((((a a) a) a)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 115858/11293293. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 115859/11293302. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 115860/11293329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 115861/11293356. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 115862/11293635. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(b (b a))) 3. ==[ beta ]==> ((^y.y)(b (b a))) 4. ==[ alpha ]==> ((^x.x)(b (b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 115863/11293671. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 115864/11293689. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a)(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a)(a a))) REDUCED to normal form. ------ 115865/11293725. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115866/11293770. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a b)(a (a a)))) 3. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 115867/11293950. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 115868/11294031. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b) a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 115869/11294058. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 115870/11294112. ------ 1. ==[ start ]==> ((a (b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 115871/11294472. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(b ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 115872/11294535. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 115873/11294553. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a (^y.y)))) 5. ==[ beta ]==> (b ((a a)(a (^y.y)))) 6. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 115874/11294562. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 115875/11294661. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))((a a) a))) REDUCED to normal form. ------ 115876/11294733. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b (^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 115877/11294814. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a 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. ------ 115878/11294841. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)((^y.y) a))) 3. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 115879/11294895. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 115880/11294940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115881/11294949. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 115882/11295228. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(b ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115883/11295255. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 115884/11295282. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(a a)) 6. ==[ alpha ]==> (((^x.x)(a a))(a a)) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 115885/11295336. ------ 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)((^z.z) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y) a))) 8. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x) a))) 9. ==[ beta ]==> (((a a)(a a))(((a a) a) a)) REDUCED to normal form. ------ 115886/11295345. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a) d)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a) d)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 115887/11295417. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (b (((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a) a))) 5. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 115888/11295534. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115889/11295597. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(^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. ------ 115890/11295624. ------ 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 z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.z))) 11. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 12. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 115891/11295651. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a)) a) REDUCED to normal form. ------ 115892/11295678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a b))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 115893/11295705. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a a))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 115894/11295732. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 115895/11295759. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 115896/11295840. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 115897/11295867. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 115898/11295876. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(c ((a a) a))) 3. ==[ beta ]==> ((^y.y)(c ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(c ((a a) a))) 5. ==[ beta ]==> (c ((a a) a)) REDUCED to normal form. ------ 115899/11295903. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(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. ------ 115900/11296038. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 115901/11296155. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)(^z.z))) REDUCED to normal form. ------ 115902/11296182. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 115903/11296209. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 115904/11296236. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.(y1 y1)))) REDUCED to normal form. ------ 115905/11296317. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.b))) 5. ==[ beta ]==> ((^y.(a a))((a a)(^z.b))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 115906/11296344. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b) a)) REDUCED to normal form. ------ 115907/11296371. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a) b)) REDUCED to normal form. ------ 115908/11296398. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) c)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) c)) 7. ==[ beta ]==> (((a a)(^x.(^y.y))) c) REDUCED to normal form. ------ 115909/11296677. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))(b (^x.a))) REDUCED to normal form. ------ 115910/11296704. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(a (^x.b))) REDUCED to normal form. ------ 115911/11296758. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(a (^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. ------ 115912/11296812. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 115913/11296839. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 115914/11296866. ------ 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. ------ 115915/11297037. ------ 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. ------ 115916/11297145. ------ 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 (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. ------ 115917/11297208. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^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. ------ 115918/11297262. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 115919/11297289. ------ 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.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 115920/11297370. ------ 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. ------ 115921/11297397. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a) c)) 3. ==[ beta ]==> (((a b)(^x.b))(a c)) REDUCED to normal form. ------ 115922/11297496. ------ 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))(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. ------ 115923/11297505. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(b b)) REDUCED to normal form. ------ 115924/11297532. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 115925/11297595. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.(^y.y)))) REDUCED to normal form. ------ 115926/11297622. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a a)(a a))) REDUCED to normal form. ------ 115927/11297649. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 115928/11297676. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 115929/11297703. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 115930/11297730. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 115931/11297757. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 115932/11297784. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 115933/11297811. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z z))) REDUCED to normal form. ------ 115934/11297892. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 115935/11297919. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 115936/11297946. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(a a))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 115937/11298117. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> (b ((a (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 115938/11298261. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a) b)) 3. ==[ beta ]==> ((b c)((a a) b)) REDUCED to normal form. ------ 115939/11298288. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) a)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 115940/11298333. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b a)) 3. ==[ beta ]==> ((b (^y.y))(b a)) 4. ==[ alpha ]==> ((b (^x.x))(b a)) REDUCED to normal form. ------ 115941/11298360. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a b)) 3. ==[ beta ]==> ((^y.y)(a b)) 4. ==[ alpha ]==> ((^x.x)(a b)) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 115942/11298396. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 115943/11298414. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 115944/11298422. ------ 1. ==[ start ]==> (^a.((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x (x x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 115945/11298423. ------ 1. ==[ start ]==> (a ((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 115946/11298516. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115947/11306646. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z)))) b) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z)))) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) b) REDUCED to normal form. ------ 115948/11306655. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 115949/11306661. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 115950/11306670. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115951/11306688. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((((^y.y) a)(^z.z))(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(a (^z.z))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 115952/11306715. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 115953/11306751. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115954/11306754. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 115955/11306796. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 115956/11306913. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115957/11307141. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 115958/11307480. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 115959/11307606. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115960/11308212. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 115961/11308545. ------ 1. ==[ start ]==> (((^a.b) a)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 115962/11308563. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 115963/11308938. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.y3))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.y3))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 115964/11309517. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 115965/11309535. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 115966/11309820. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^z.(^x1.(^y1.y1))))((a a)(^z.(^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(^x.(^y.(^z.z))))((a a)(^x1.(^y1.(^z1.z1)))))(^x2.x2)) REDUCED to normal form. ------ 115967/11310138. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 115968/11310576. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))(^x1.a))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 115969/11311413. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((((^x1.x1) a)(^y1.b))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.x1))) 5. ==[ beta ]==> ((a (^y.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 115970/11311722. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 115971/11311731. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 115972/11311947. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^z.(a a))) REDUCED to normal form. ------ 115973/11312016. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115974/11312613. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115975/11313504. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 115976/11313648. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(^x.(^z.z))) 6. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 115977/11314410. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 115978/11314692. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 115979/11314728. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a a))) 3. ==[ beta ]==> ((b c)(^y.(a a))) 4. ==[ alpha ]==> ((b c)(^x.(a a))) REDUCED to normal form. ------ 115980/11314755. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 115981/11314800. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 115982/11314827. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(a a))) 3. ==[ beta ]==> ((^y.y)(^z.(a a))) 4. ==[ alpha ]==> ((^x.x)(^y.(a a))) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 115983/11314863. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z z))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y y))) REDUCED to normal form. ------ 115984/11314881. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 115985/11314890. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 115986/11314902. ------ 1. ==[ start ]==> ((a a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 115987/11314911. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 115988/11314929. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a (a a))(a (^y.y))) 4. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 115989/11314938. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 115990/11314956. ------ 1. ==[ start ]==> ((a b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 115991/11314965. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 115992/11314992. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 115993/11315010. ------ 1. ==[ start ]==> (((a a)(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a a))((b (^x.x)) a)) REDUCED to normal form. ------ 115994/11315037. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 115995/11315073. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 115996/11315100. ------ 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 z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 115997/11315154. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 115998/11315235. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 115999/11315316. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)(^z.z))) 5. ==[ beta ]==> (a ((^y.a)(^z.z))) 6. ==[ alpha ]==> (a ((^x.a)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116000/11315325. ------ 1. ==[ start ]==> (((a a)(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.a))(c b)) REDUCED to normal form. ------ 116001/11315352. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((a a)(a a)))) REDUCED to normal form. ------ 116002/11315379. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 116003/11315442. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) c) REDUCED to normal form. ------ 116004/11315487. ------ 1. ==[ start ]==> (((^a.(a a)) a)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((b a)(a (a a)))) 3. ==[ beta ]==> ((a a)((b a)(a (a a)))) REDUCED to normal form. ------ 116005/11315568. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a b)(a b))) 3. ==[ beta ]==> ((a b)((a b)(a b))) REDUCED to normal form. ------ 116006/11315595. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 116007/11315622. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a a)(^y.y))) REDUCED to normal form. ------ 116008/11315649. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (a a))(b a))) REDUCED to normal form. ------ 116009/11315676. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116010/11315703. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 116011/11315721. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 116012/11315766. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 116013/11315793. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 116014/11315820. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 116015/11315847. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 116016/11315937. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(a b))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 7. ==[ beta ]==> ((^y.b)(a b)) 8. ==[ alpha ]==> ((^x.b)(a b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 116017/11315991. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116018/11316018. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(z z))(b a))) 3. ==[ beta ]==> ((^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. ------ 116019/11316072. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 116020/11316144. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b) b)) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b) b)) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b) b)) 5. ==[ beta ]==> (((a a)(^x.x))(b b)) REDUCED to normal form. ------ 116021/11316315. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.a)(^z.(a a))) 6. ==[ alpha ]==> ((^x.a)(^y.(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116022/11316405. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y) b)(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x) b)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (c (a (^y.(^z.z))))) 6. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 116023/11316432. ------ 1. ==[ start ]==> ((((a a) a) a)(b ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)(b ((^x.x) b))) 3. ==[ beta ]==> ((((a a) a) a)(b b)) REDUCED to normal form. ------ 116024/11316486. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (a a))) REDUCED to normal form. ------ 116025/11316513. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 116026/11316540. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.a))((b a) a)) REDUCED to normal form. ------ 116027/11316567. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116028/11316594. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 116029/11316783. ------ 1. ==[ start ]==> (((^a.b) a)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)((a a)((^y.y) b))) 3. ==[ beta ]==> (b ((a a)((^y.y) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 116030/11316801. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a (^z.(a a)))) 3. ==[ beta ]==> ((^y.b)(a (^z.(a a)))) 4. ==[ alpha ]==> ((^x.b)(a (^y.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116031/11316963. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.b)((a a) a))) 3. ==[ beta ]==> (b ((^z.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116032/11316990. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.a)(a b))) 3. ==[ beta ]==> ((a b)((^y.a)(a b))) 4. ==[ alpha ]==> ((a b)((^x.a)(a b))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 116033/11317017. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116034/11317071. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.a)(b a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(b a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 116035/11317152. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116036/11317179. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 116037/11317197. ------ 1. ==[ start ]==> (((a a)(a b))((b a) c)) REDUCED to normal form. ------ 116038/11317422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116039/11317566. ------ 1. ==[ start ]==> (((a b) b)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) b)(((^x.x)(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) b)((a a)(a (a a)))) REDUCED to normal form. ------ 116040/11317593. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.y))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.x))) REDUCED to normal form. ------ 116041/11317620. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 116042/11317647. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(a b))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 116043/11317701. ------ 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 a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 116044/11317728. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.z))(b a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.z))(b a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.y))(b a))) 7. ==[ beta ]==> (((a (^y.y))(b a))((a (^y.y))(b a))) 8. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(b a))) REDUCED to normal form. ------ 116045/11317755. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 116046/11317773. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 116047/11317845. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 116048/11317872. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(^y.(y y)))) REDUCED to normal form. ------ 116049/11317899. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 116050/11317953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.b))) 7. ==[ beta ]==> ((a (a a))((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(^y.b))) 9. ==[ beta ]==> ((a (a a))(^y.b)) 10. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 116051/11317980. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 116052/11318007. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 116053/11318061. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116054/11318097. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.x1)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116055/11318232. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116056/11318313. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 116057/11318349. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(b (b a))) REDUCED to normal form. ------ 116058/11318376. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^y.b))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.b))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 116059/11318430. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116060/11318457. ------ 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) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))((a a) a)) REDUCED to normal form. ------ 116061/11318484. ------ 1. ==[ start ]==> (((a b)(^b.a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(a (a a)))) REDUCED to normal form. ------ 116062/11318511. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z)(^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. ------ 116063/11318538. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 116064/11318682. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.z))) 7. ==[ beta ]==> ((^y.y)((b a)(^z.z))) 8. ==[ alpha ]==> ((^x.x)((b a)(^y.y))) 9. ==[ beta ]==> ((b a)(^y.y)) 10. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 116065/11318709. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 116066/11318736. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.a))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.a))) REDUCED to normal form. ------ 116067/11318763. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 116068/11318790. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 116069/11318817. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (b a))(^y.a)) 6. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 116070/11318907. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116071/11318988. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116072/11319096. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 116073/11319123. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 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. ------ 116074/11319159. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(c ((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(c (a a))) REDUCED to normal form. ------ 116075/11319177. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))(^c.(^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. ------ 116076/11319186. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 116077/11319240. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 116078/11319267. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 116079/11319294. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^y.a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.a))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.a))((a b) a)) REDUCED to normal form. ------ 116080/11319321. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 116081/11319492. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 116082/11319519. ------ 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 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. ------ 116083/11319546. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 116084/11319573. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 116085/11319600. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 116086/11319654. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.b))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.b))) REDUCED to normal form. ------ 116087/11319663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116088/11319744. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.z))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 116089/11319825. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116090/11319933. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116091/11319942. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (a a))) REDUCED to normal form. ------ 116092/11319969. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 116093/11320050. ------ 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)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(((a a) a) a)) REDUCED to normal form. ------ 116094/11320077. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))(a (a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116095/11320131. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a ((a a) a))) REDUCED to normal form. ------ 116096/11320158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 116097/11320185. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 116098/11320230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a 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. ------ 116099/11320257. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 116100/11320275. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)(^z.a))) REDUCED to normal form. ------ 116101/11320302. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(^z.(z z))) 6. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(y y))) REDUCED to normal form. ------ 116102/11320329. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 116103/11320383. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a b)((a (^y.y))(^z.b))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 116104/11320410. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(a a)))) REDUCED to normal form. ------ 116105/11320437. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a)) a)) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((a b)(^x.x))((a a) a)) REDUCED to normal form. ------ 116106/11320464. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b) b)) 3. ==[ beta ]==> (((a a)(a (a a)))((a b) b)) REDUCED to normal form. ------ 116107/11320581. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116108/11320608. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.b))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116109/11320851. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a (^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116110/11320905. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (^z.z)))) 5. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116111/11320932. ------ 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.x2) a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 116112/11320986. ------ 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.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 116113/11321067. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)(^z.z))) 3. ==[ beta ]==> (b ((^y.b)(^z.z))) 4. ==[ alpha ]==> (b ((^x.b)(^y.y))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116114/11321175. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116115/11321211. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b ((a a) a))) 3. ==[ beta ]==> ((b (^y.y))(b ((a a) a))) 4. ==[ alpha ]==> ((b (^x.x))(b ((a a) a))) REDUCED to normal form. ------ 116116/11321247. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b) a)) 3. ==[ beta ]==> (((a a) b)((^y.b) a)) 4. ==[ alpha ]==> (((a a) b)((^x.b) a)) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 116117/11321301. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 116118/11321436. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((a a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((a a) a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.y))) REDUCED to normal form. ------ 116119/11321463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 116120/11321517. ------ 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)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.(x1 x1)))) REDUCED to normal form. ------ 116121/11321544. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 116122/11321607. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^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. ------ 116123/11321742. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 116124/11321850. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116125/11321886. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)((a a)(^y.y))) 6. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 116126/11321931. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 116127/11321958. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.z))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.y))) 7. ==[ beta ]==> ((a (^y.y))(a (^y.y))) 8. ==[ alpha ]==> ((a (^x.x))(a (^y.y))) REDUCED to normal form. ------ 116128/11322012. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 116129/11322093. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116130/11322156. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (a (a a)))) REDUCED to normal form. ------ 116131/11322210. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(a a))) REDUCED to normal form. ------ 116132/11322237. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (a (^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 116133/11322264. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 116134/11322327. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.y))) REDUCED to normal form. ------ 116135/11322354. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 116136/11322381. ------ 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. ------ 116137/11322408. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 116138/11322435. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a)) a)) REDUCED to normal form. ------ 116139/11322462. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) b)) 3. ==[ beta ]==> (((a b)(a b))(a b)) REDUCED to normal form. ------ 116140/11322570. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 116141/11322597. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) c)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 116142/11322651. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 116143/11322741. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116144/11322822. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 116145/11322930. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116146/11322966. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (a a))) 3. ==[ beta ]==> ((b c)(b (a a))) REDUCED to normal form. ------ 116147/11322993. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (a (^x.x)))) REDUCED to normal form. ------ 116148/11323038. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 116149/11323065. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116150/11323101. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (a a))) 3. ==[ beta ]==> ((a (^y.y))(a (a a))) 4. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 116151/11323119. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 116152/11323128. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 116153/11325030. ------ 1. ==[ start ]==> ((^a.(a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((^y.((^z.z) b)) b) 4. ==[ alpha ]==> ((^x.((^y.y) b)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116154/11331369. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 116155/11331393. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116156/11331486. ------ 1. ==[ start ]==> (((^a.a) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(y (^z.z)))) 3. ==[ beta ]==> (b (^y.(y (^z.z)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 116157/11331978. ------ 1. ==[ start ]==> ((^a.(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((b a)(a (a a)))) 3. ==[ beta ]==> (((b a)(a (a a)))(((b a)(a (a a)))((b a)(a (a a))))) REDUCED to normal form. ------ 116158/11332593. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(^x1.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 7. ==[ beta ]==> (^y.((a a)(a a))) 8. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 116159/11333274. ------ 1. ==[ start ]==> ((^a.(a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)((^y.y) b)) b) 4. ==[ alpha ]==> (((a a)((^x.x) b)) b) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 116160/11333277. ------ 1. ==[ start ]==> ((a (a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(^x.((^y.y) b))) 3. ==[ beta ]==> ((a (a b))(^x.b)) REDUCED to normal form. ------ 116161/11333619. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116162/11333661. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1))) b)((a (^z.(^x1.x1))) b))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z))) b)((a (^x1.(^y1.y1))) b))) REDUCED to normal form. ------ 116163/11334267. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 116164/11334861. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 116165/11335950. ------ 1. ==[ start ]==> (((a (a a))(a b))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 116166/11336454. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 116167/11336739. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116168/11337345. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(z z)))) REDUCED to normal form. ------ 116169/11337534. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a y))) 3. ==[ eta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 116170/11337732. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(y b))) 3. ==[ beta ]==> (((a a) b)(^y.(y b))) 4. ==[ alpha ]==> (((a a) b)(^x.(x b))) REDUCED to normal form. ------ 116171/11337894. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.((a a) a))) REDUCED to normal form. ------ 116172/11339478. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116173/11339523. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 116174/11339586. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116175/11339604. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 116176/11339613. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 116177/11339643. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116178/11339652. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116179/11339670. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 116180/11339679. ------ 1. ==[ start ]==> (((a a) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 116181/11339706. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 116182/11339733. ------ 1. ==[ start ]==> (((^a.a) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (b ((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (b ((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 116183/11339778. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116184/11339787. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 116185/11339805. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 116186/11339814. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.a)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.a)) REDUCED to normal form. ------ 116187/11339841. ------ 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 z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 116188/11339922. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116189/11340030. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 116190/11340057. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 116191/11340147. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a a) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 116192/11340174. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 116193/11340201. ------ 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)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 116194/11340228. ------ 1. ==[ start ]==> ((a (a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 116195/11340471. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 116196/11340543. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) 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. ------ 116197/11340588. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116198/11340615. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116199/11340669. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(^y1.b))) 5. ==[ beta ]==> ((^y.y)((a b)(^y1.b))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 116200/11340678. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.b)(a b))) 3. ==[ beta ]==> (((a (a a)) b) b) REDUCED to normal form. ------ 116201/11340732. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116202/11340759. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((b a)(b a))) REDUCED to normal form. ------ 116203/11340786. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 116204/11340804. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 116205/11340813. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116206/11340840. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((^y.y)((a a)(a a))) 8. ==[ alpha ]==> ((^x.x)((a a)(a a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 116207/11341137. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b ((^y.a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116208/11341164. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 116209/11341362. ------ 1. ==[ start ]==> (((a a)((a a) a))((a b)((a a) a))) REDUCED to normal form. ------ 116210/11341389. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a) a)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a)(a b))) REDUCED to normal form. ------ 116211/11341416. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a (a a)))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a (a a)))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a (a a)))((^y.y)(a a))) 8. ==[ alpha ]==> ((a (a (a a)))((^x.x)(a a))) 9. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 116212/11341443. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a)) a)((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 116213/11341470. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(b a))) 7. ==[ beta ]==> ((a (^x.x))(a (b a))) REDUCED to normal form. ------ 116214/11341497. ------ 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))))) REDUCED to normal form. ------ 116215/11341515. ------ 1. ==[ start ]==> (((^a.b) a)(b (^b.b))) 2. ==[ alpha ]==> (((^x.b) a)(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 116216/11341524. ------ 1. ==[ start ]==> ((a (a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))((a a)((^x.x) b))) 3. ==[ beta ]==> ((a (a b))((a a) b)) REDUCED to normal form. ------ 116217/11341614. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)(^z.a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)(^z.a))) IRREDUCIBLE: cycle. ------ 116218/11341677. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 116219/11341695. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)(^z.a))) 3. ==[ beta ]==> (b ((a b)(^z.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 116220/11341704. ------ 1. ==[ start ]==> (((a b) a)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b) a)((^x.b)((a a) a))) 3. ==[ beta ]==> (((a b) a) b) REDUCED to normal form. ------ 116221/11341722. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.b))) REDUCED to normal form. ------ 116222/11341731. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 116223/11341749. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 116224/11341785. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 116225/11341812. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) a) REDUCED to normal form. ------ 116226/11341839. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116227/11341866. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1) b)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z) b)) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 116228/11341884. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b) a)) 3. ==[ beta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 116229/11341893. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 116230/11341911. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 116231/11342082. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116232/11342208. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1) a)) 5. ==[ beta ]==> ((^y.y)((^y1.y1) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 116233/11342289. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1)) d)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116234/11342487. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116235/11342514. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 116236/11342541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116237/11342730. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 116238/11342829. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (^y.(^z.z))) a) 6. ==[ alpha ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 116239/11342973. ------ 1. ==[ start ]==> (((a b) c)((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 116240/11343000. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 116241/11343027. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 116242/11343108. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 116243/11343126. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z))) 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. ------ 116244/11343306. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 116245/11343333. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 116246/11343360. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 116247/11343387. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a a)(b a))) REDUCED to normal form. ------ 116248/11343639. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 116249/11343720. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (b (((a a)(^z.z)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 116250/11343783. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 116251/11343891. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 116252/11343918. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))(^c.(^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. ------ 116253/11343990. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^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. ------ 116254/11344116. ------ 1. ==[ start ]==> (((a a)(b a))((a (a a))((a a) a))) REDUCED to normal form. ------ 116255/11344143. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a (a b))) REDUCED to normal form. ------ 116256/11344170. ------ 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 (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a (a a))((a (^x.x))(a a))) REDUCED to normal form. ------ 116257/11344197. ------ 1. ==[ start ]==> (((a (a a))(a b))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 116258/11344377. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) 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. ------ 116259/11344395. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116260/11344476. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((a a)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 116261/11344674. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 116262/11344719. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116263/11344773. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b) c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b) c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b) c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b) c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b) c)) 7. ==[ beta ]==> (((a a)(a a))((^y.b) c)) 8. ==[ alpha ]==> (((a a)(a a))((^x.b) c)) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 116264/11344917. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b (^z.(a a)))) REDUCED to normal form. ------ 116265/11344962. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116266/11344971. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 116267/11344989. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 116268/11345268. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116269/11345475. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116270/11345592. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.(a a)))) REDUCED to normal form. ------ 116271/11345619. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)(a a))) 3. ==[ beta ]==> ((b a)((^y.b)(a a))) 4. ==[ alpha ]==> ((b a)((^x.b)(a a))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 116272/11345637. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 116273/11345646. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 116274/11345664. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.a)) 7. ==[ beta ]==> ((^y.y)(^z.a)) 8. ==[ alpha ]==> ((^x.x)(^y.a)) 9. ==[ beta ]==> (^y.a) 10. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 116275/11345673. ------ 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.x2) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 116276/11345718. ------ 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.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 116277/11345754. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116278/11345781. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a b)) REDUCED to normal form. ------ 116279/11345799. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b) a)) 3. ==[ beta ]==> (b ((a b) a)) REDUCED to normal form. ------ 116280/11345808. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 116281/11345835. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 116282/11345862. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))(^y1.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. ------ 116283/11345916. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 116284/11345943. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 116285/11345979. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (a b))) 3. ==[ beta ]==> (((a a) b)(a (a b))) REDUCED to normal form. ------ 116286/11346006. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a)(a a))) REDUCED to normal form. ------ 116287/11346033. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((a (b a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a (b a))(a (^y.y))) 8. ==[ alpha ]==> ((a (b a))(a (^x.x))) REDUCED to normal form. ------ 116288/11346060. ------ 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 a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 116289/11346087. ------ 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) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(a (a a)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(a (a a)))) 9. ==[ beta ]==> ((a a)(a (a (a a)))) REDUCED to normal form. ------ 116290/11346114. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 116291/11346141. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)((a a) a))) REDUCED to normal form. ------ 116292/11346339. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a) a) a)) 3. ==[ beta ]==> ((^y.y)(((a a) a) a)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 116293/11346618. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 116294/11346663. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 116295/11346690. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 116296/11346699. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^x1.x1))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 116297/11346726. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 116298/11346744. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 116299/11346807. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 116300/11346825. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.b)(a b))((a (a a)) b)) 3. ==[ beta ]==> (b ((a (a a)) b)) REDUCED to normal form. ------ 116301/11346834. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 116302/11346888. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 116303/11346933. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^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. ------ 116304/11347032. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 116305/11347113. ------ 1. ==[ start ]==> (((a (a a))(b a))(c c)) REDUCED to normal form. ------ 116306/11347248. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b ((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b a)) REDUCED to normal form. ------ 116307/11347302. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 116308/11347329. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 116309/11347356. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a a) a)) REDUCED to normal form. ------ 116310/11347473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a) a)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116311/11347554. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116312/11347662. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116313/11347698. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 116314/11347725. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 116315/11347770. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 116316/11347797. ------ 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)(^z.z))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 116317/11347833. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 116318/11347851. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 116319/11347860. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 116320/11347877. ------ 1. ==[ start ]==> (^a.((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (^x.((^y.(^z.z))(b x))) 3. ==[ beta ]==> (^x.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116321/11347878. ------ 1. ==[ start ]==> (a ((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 3. ==[ beta ]==> (a (^y.y)) 4. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 116322/11348376. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 116323/11355630. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116324/11356134. ------ 1. ==[ start ]==> ((^a.a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116325/11356161. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.(y y))(a (^z.(^x1.x1))))((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^z1.(^x2.x2)))(a (^z1.(^x2.x2))))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.(^z1.z1)))(a (^x2.(^y2.y2))))) REDUCED to normal form. ------ 116326/11356188. ------ 1. ==[ start ]==> ((^a.b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 116327/11356236. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116328/11356245. ------ 1. ==[ start ]==> (((a a)(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(^x.(x (^y.y)))) REDUCED to normal form. ------ 116329/11356458. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)(^x1.(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116330/11356629. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(a (b (^z.z)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 116331/11356632. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 116332/11356953. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 116333/11357079. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116334/11357511. ------ 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. ------ 116335/11357712. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((y1 y1)(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(y y)))) 5. ==[ beta ]==> (^y.((y y)(y y))) 6. ==[ alpha ]==> (^x.((x x)(x x))) REDUCED to normal form. ------ 116336/11357844. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 116337/11358024. ------ 1. ==[ start ]==> ((^a.(a b))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(x b))(b (^y.y))) 3. ==[ beta ]==> ((b (^y.y)) b) 4. ==[ alpha ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 116338/11358036. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.b)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.b)(^y.((^z.z) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116339/11358711. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 7. ==[ beta ]==> (^y.((^z.z) b)) 8. ==[ alpha ]==> (^x.((^y.y) b)) 9. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 116340/11359008. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 116341/11359293. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(b a))((^z.(^x1.x1))(b a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(b a))((^z.(^x1.x1))(b a)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(b a)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(b a)))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))(b a))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))(b 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. ------ 116342/11359629. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 116343/11359917. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 116344/11360049. ------ 1. ==[ start ]==> ((^a.(b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ eta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116345/11360598. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 116346/11360886. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((^x1.(x1 x1))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(x x))((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. ------ 116347/11361222. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y)(^z.z)))) 5. ==[ beta ]==> (^y.((y y)(^z.z))) 6. ==[ alpha ]==> (^x.((x x)(^y.y))) REDUCED to normal form. ------ 116348/11361672. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 116349/11361804. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116350/11362284. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.b))) REDUCED to normal form. ------ 116351/11362482. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(^a.b))) 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. ------ 116352/11362671. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 116353/11362803. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^y.(^z.z))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))((^x4.(^y4.y4))((^z4.z4)(^x5.x5))))) 5. ==[ beta ]==> (((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2))))(((^z2.(^x3.x3))((^y3.y3)(^z3.z3)))((^x4.(^y4.y4))((^z4.z4)(^x5.x5))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1))))(((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))((^x3.(^y3.y3))((^z3.z3)(^x4.x4))))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))(((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))((^x3.(^y3.y3))((^z3.z3)(^x4.x4))))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 9. ==[ beta ]==> ((^y.y)(((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))((^z2.(^x3.x3))((^y3.y3)(^z3.z3))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2))))) 11. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(^y1.y1)))((^z1.(^x2.x2))((^y2.y2)(^z2.z2)))) 12. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 13. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 15. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 16. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116354/11363436. ------ 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. ------ 116355/11363562. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^b.(^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. ------ 116356/11363670. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 116357/11363883. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116358/11363886. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 116359/11364057. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116360/11364228. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.b)) REDUCED to normal form. ------ 116361/11364273. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a a))) REDUCED to normal form. ------ 116362/11364336. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.a)) 3. ==[ beta ]==> ((a (^y.y))(^z.a)) 4. ==[ alpha ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 116363/11364354. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(x1 x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(x1 x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 116364/11364363. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 116365/11364393. ------ 1. ==[ start ]==> ((a a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a a)(^y.y)) 4. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 116366/11364411. ------ 1. ==[ start ]==> (((^a.a) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) a)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (a ((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (a ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 116367/11364420. ------ 1. ==[ start ]==> ((a (a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a a))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116368/11364438. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> (((a a) a)(a (^y.y))) 4. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 116369/11364447. ------ 1. ==[ start ]==> ((a b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a b)((^x.a)((^y.y) b))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 116370/11364501. ------ 1. ==[ start ]==> (((a a)(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 116371/11364519. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 116372/11364546. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a)) b)) REDUCED to normal form. ------ 116373/11364573. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b) c)) 3. ==[ beta ]==> (((a (^x.x)) a)(b c)) REDUCED to normal form. ------ 116374/11364690. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 116375/11364717. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 116376/11364888. ------ 1. ==[ start ]==> ((a (^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(a (b (^y.y)))) REDUCED to normal form. ------ 116377/11364996. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.(y y))((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(x x))((b a)(a (a a)))) 5. ==[ beta ]==> (((b a)(a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 116378/11365023. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 116379/11365077. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a b))) 5. ==[ beta ]==> ((^y.y)((a b)(a b))) 6. ==[ alpha ]==> ((^x.x)((a b)(a b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 116380/11365104. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a a))) REDUCED to normal form. ------ 116381/11365131. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 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. ------ 116382/11365185. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a)(a a))(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> (((a a)(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 116383/11365212. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 116384/11365230. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 116385/11365302. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y) b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x) b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b b)(b (^y.(^z.z)))) 6. ==[ alpha ]==> ((b b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 116386/11365311. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b)(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. ------ 116387/11365338. ------ 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 (^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. ------ 116388/11365437. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a)) b)((a b)(^x.b))) REDUCED to normal form. ------ 116389/11365464. ------ 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. ------ 116390/11365491. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 116391/11365545. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116392/11365572. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))(^x1.x1))) REDUCED to normal form. ------ 116393/11365662. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 116394/11365689. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 116395/11365770. ------ 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. ------ 116396/11365941. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(b ((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)(b ((^x.x) b))) 5. ==[ beta ]==> (((a a) a)(b b)) REDUCED to normal form. ------ 116397/11365968. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 116398/11365977. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 116399/11366004. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 116400/11366022. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 116401/11366031. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 116402/11366103. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> ((a (^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 116403/11366283. ------ 1. ==[ start ]==> ((a (a b))(b (^b.b))) 2. ==[ alpha ]==> ((a (a b))(b (^x.x))) REDUCED to normal form. ------ 116404/11366292. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a a)((^z.z) b))) 3. ==[ beta ]==> ((^y.b)((a a)((^z.z) b))) 4. ==[ alpha ]==> ((^x.b)((a a)((^y.y) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116405/11366436. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) b)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 116406/11366463. ------ 1. ==[ start ]==> (((a b) a)((a b)(^c.a))) 2. ==[ alpha ]==> (((a b) a)((a b)(^x.a))) REDUCED to normal form. ------ 116407/11366490. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 116408/11366544. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))(^c.(^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. ------ 116409/11366598. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116410/11366625. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 116411/11366652. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b) a)) 3. ==[ beta ]==> (((a b)(^x.x))(b a)) REDUCED to normal form. ------ 116412/11366688. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 116413/11366769. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 116414/11366796. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.a))) 7. ==[ beta ]==> (a ((^y.b)(^z.a))) 8. ==[ alpha ]==> (a ((^x.b)(^y.a))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 116415/11366850. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 116416/11366913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(c (b a))) 3. ==[ beta ]==> ((^y.y)(c (b a))) 4. ==[ alpha ]==> ((^x.x)(c (b a))) 5. ==[ beta ]==> (c (b a)) REDUCED to normal form. ------ 116417/11366967. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(a ((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)(a ((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 116418/11367048. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 116419/11367057. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y)) d)) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 116420/11367102. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a a)((a b)(^y.y))) 8. ==[ alpha ]==> ((a a)((a b)(^x.x))) REDUCED to normal form. ------ 116421/11367129. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 5. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 116422/11367183. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))((^z.z)(a a)))) 9. ==[ beta ]==> ((^y.y)((a (a a))((^z.z)(a a)))) 10. ==[ alpha ]==> ((^x.x)((a (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. ------ 116423/11367264. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 116424/11367300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 116425/11367363. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 116426/11367390. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 116427/11367417. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(^x.x)) b) REDUCED to normal form. ------ 116428/11367471. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((((a a) a) a)(^y.y)) 6. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 116429/11367489. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 116430/11367498. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(a (^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 116431/11367525. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 116432/11367552. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 116433/11367885. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 116434/11367966. ------ 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))((^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. ------ 116435/11368119. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((a (a b))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 116436/11368173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(a (^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)(a (^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116437/11368227. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 116438/11368254. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 116439/11368281. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a)) b) REDUCED to normal form. ------ 116440/11368308. ------ 1. ==[ start ]==> ((a (b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 116441/11368668. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a b))(c ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(c ((^x.x)(a a)))) 5. ==[ beta ]==> (((a b)(a b))(c (a a))) REDUCED to normal form. ------ 116442/11368749. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y))(a a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a a))) REDUCED to normal form. ------ 116443/11368758. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 116444/11368785. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 116445/11368857. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 116446/11368956. ------ 1. ==[ start ]==> (((a (a a))(a b))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b (^x.(^y.y)))) REDUCED to normal form. ------ 116447/11369037. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 116448/11369064. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)((^z.z) a))) 5. ==[ beta ]==> (((a a) a)((^y.b)((^z.z) a))) 6. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 116449/11369145. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 116450/11369451. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 116451/11369478. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.y)(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a ((a a)(^y.y)))) 5. ==[ beta ]==> (a ((a a)(^y.y))) 6. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 116452/11369532. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b)(a (^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)(a (^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a b)(a (^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 116453/11369541. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 116454/11369568. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a) d)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a) d)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a) d)) 5. ==[ beta ]==> ((^y.b)((^z.a) d)) 6. ==[ alpha ]==> ((^x.b)((^y.a) d)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116455/11369613. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a (a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a (a a))(^y.y))) 6. ==[ alpha ]==> (b ((a (a a))(^x.x))) REDUCED to normal form. ------ 116456/11369730. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)(^x1.x1))) REDUCED to normal form. ------ 116457/11369766. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 116458/11369793. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 116459/11369820. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(a (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. ------ 116460/11369847. ------ 1. ==[ start ]==> (((a (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)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (a a))(a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a (a a))(a a))((^x.x)((^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. ------ 116461/11369874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((a a) a))) 5. ==[ beta ]==> ((a b)((^y.a)((a a) a))) 6. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 116462/11369901. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 116463/11369928. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a a))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 7. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 116464/11369955. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 116465/11369982. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 116466/11370036. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 116467/11370063. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 116468/11370234. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116469/11370342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116470/11370378. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)(^y.y))) 3. ==[ beta ]==> ((b a)((a b)(^y.y))) 4. ==[ alpha ]==> ((b a)((a b)(^x.x))) REDUCED to normal form. ------ 116471/11370405. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 116472/11370432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 116473/11370513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a (^a.a))(^c.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 a) REDUCED to normal form. ------ 116474/11370540. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 116475/11370567. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a b) a)) REDUCED to normal form. ------ 116476/11370594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a) a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a) b)) REDUCED to normal form. ------ 116477/11370738. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a a) b)(^y.b)) 6. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 116478/11370873. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.(^y.y)))) REDUCED to normal form. ------ 116479/11370900. ------ 1. ==[ start ]==> (((a b)((a a) a))(b (^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))(b (^x.a))) REDUCED to normal form. ------ 116480/11370927. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.b))) REDUCED to normal form. ------ 116481/11371008. ------ 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 x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^y1.y1) a)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^y1.y1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a ((^x1.x1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a a)) REDUCED to normal form. ------ 116482/11371035. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 116483/11371062. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 116484/11371233. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (b ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 116485/11371341. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^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. ------ 116486/11371458. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 116487/11371485. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a (^y1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 116488/11371503. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c d)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c d)) 3. ==[ beta ]==> (((b a)(b a))(c d)) REDUCED to normal form. ------ 116489/11371566. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z) a)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y) a)) 5. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 116490/11371593. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a)) b)) REDUCED to normal form. ------ 116491/11371692. ------ 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. ------ 116492/11371701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^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. ------ 116493/11371728. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z)) b)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(b b)) REDUCED to normal form. ------ 116494/11371755. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a) c)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 116495/11371791. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.(x x)))) REDUCED to normal form. ------ 116496/11371818. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^b.(^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. ------ 116497/11371845. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 116498/11371872. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 116499/11371899. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 116500/11371926. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (a a))) REDUCED to normal form. ------ 116501/11371953. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.y))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^y.y))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 116502/11371980. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 116503/11372007. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 116504/11372088. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 116505/11372115. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.a))) REDUCED to normal form. ------ 116506/11372142. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.(y y)))) REDUCED to normal form. ------ 116507/11372313. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (a ((^z.z) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 116508/11372421. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116509/11372457. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y)) a)) 3. ==[ beta ]==> ((b c)((a (^y.y)) a)) 4. ==[ alpha ]==> ((b c)((a (^x.x)) a)) REDUCED to normal form. ------ 116510/11372484. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a) b)) REDUCED to normal form. ------ 116511/11372529. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(a a))) 3. ==[ beta ]==> ((b (^y.y))((a a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(a a))) REDUCED to normal form. ------ 116512/11372556. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b a)) 3. ==[ beta ]==> ((^y.y)(b a)) 4. ==[ alpha ]==> ((^x.x)(b a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116513/11372592. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a) a)) 3. ==[ beta ]==> ((a (^y.y))((a a) a)) 4. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 116514/11372610. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 116515/11372619. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 116516/11380920. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116517/11380938. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^y.(^z.(^x1.x1))))((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 116518/11380965. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 116519/11381001. ------ 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)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116520/11381046. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> (((b (^z.z)) a)(^y.y)) 4. ==[ alpha ]==> (((b (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 116521/11381730. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116522/11381856. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116523/11382489. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(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. ------ 116524/11382498. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) REDUCED to normal form. ------ 116525/11383164. ------ 1. ==[ start ]==> (((^a.b)(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b)(a a))(^z.z)) 4. ==[ alpha ]==> (((^x.b)(a a))(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116526/11383188. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (^y.(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (^x.((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116527/11383488. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116528/11383794. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 116529/11384109. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 116530/11384406. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116531/11384826. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)(^y.(^z.z)))) 3. ==[ eta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 116532/11385252. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 116533/11385756. ------ 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)))) REDUCED to normal form. ------ 116534/11385999. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 116535/11386266. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116536/11386449. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 116537/11386872. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^c.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a b))) REDUCED to normal form. ------ 116538/11387079. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a y))) 3. ==[ eta ]==> (((^x.b)((a a) a)) a) 4. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116539/11387580. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1))))(((a (^y.y))(^z.(^x1.x1)))((a (^y.y))(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.z1))))(((a (^x2.x2))(^y2.(^z2.z2)))((a (^x3.x3))(^y3.(^z3.z3))))) REDUCED to normal form. ------ 116540/11387619. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.((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. ------ 116541/11388213. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.(^b.(^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. ------ 116542/11388222. ------ 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))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 116543/11388753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116544/11388834. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 116545/11388978. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.c)) 3. ==[ beta ]==> ((b c)(^y.c)) 4. ==[ alpha ]==> ((b c)(^x.c)) REDUCED to normal form. ------ 116546/11389077. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 116547/11389113. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.b)) 3. ==[ beta ]==> ((a (^y.y))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 116548/11389131. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 116549/11389140. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(x1 x1))) REDUCED to normal form. ------ 116550/11389188. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 116551/11389206. ------ 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. ------ 116552/11389215. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 116553/11389233. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((a b)(a (^y.y))) 4. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 116554/11389242. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 116555/11389269. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116556/11389314. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y)) a)) REDUCED to normal form. ------ 116557/11389377. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 116558/11389404. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116559/11389512. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 116560/11389593. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 116561/11389620. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^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. ------ 116562/11389656. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 116563/11389746. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y) c)) 3. ==[ beta ]==> ((a (a a))((^y.y) c)) 4. ==[ alpha ]==> ((a (a a))((^x.x) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 116564/11389764. ------ 1. ==[ start ]==> (((^a.(a a)) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 116565/11389845. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a b)((a a)((a a) a))) REDUCED to normal form. ------ 116566/11389872. ------ 1. ==[ start ]==> (((a (a a)) a)((a b)(a b))) REDUCED to normal form. ------ 116567/11389899. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a)(a a))) REDUCED to normal form. ------ 116568/11389926. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))((a a)(^z.z))) REDUCED to normal form. ------ 116569/11389953. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 116570/11389980. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 116571/11389998. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 116572/11390070. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 116573/11390097. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 116574/11390124. ------ 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))) 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. ------ 116575/11390133. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 116576/11390214. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((^y.(a a))((a a) a)) 8. ==[ alpha ]==> ((^x.(a a))((a a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116577/11390295. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116578/11390349. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 116579/11390421. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(a a)) a)) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a)) a)) REDUCED to normal form. ------ 116580/11390448. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b b)) REDUCED to normal form. ------ 116581/11390592. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.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. ------ 116582/11390646. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 116583/11390727. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 116584/11390763. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a ((a a)(a a)))) REDUCED to normal form. ------ 116585/11390790. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b)(a a))) 5. ==[ beta ]==> ((a (^x.(x x)))(b (a a))) REDUCED to normal form. ------ 116586/11390817. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 116587/11390844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116588/11390871. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 116589/11391060. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 116590/11391078. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b (^z.z))) 3. ==[ beta ]==> ((^y.b)(b (^z.z))) 4. ==[ alpha ]==> ((^x.b)(b (^y.y))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116591/11391159. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) IRREDUCIBLE: cycle. ------ 116592/11391240. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 116593/11391267. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.b)((a a) a))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 116594/11391348. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 116595/11391429. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116596/11391456. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 116597/11391474. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 116598/11391501. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((b a) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((b a) c)) REDUCED to normal form. ------ 116599/11391672. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116600/11391753. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116601/11391843. ------ 1. ==[ start ]==> (((a b) b)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) b)(((a a)(^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b) b)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 116602/11391870. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 116603/11391897. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((a b)(^y.y))) REDUCED to normal form. ------ 116604/11391924. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 116605/11391978. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 116606/11392005. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) a)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z) a)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((a a)(^z.z)))) 7. ==[ beta ]==> ((((^y.y) a)((a a)(^z.z)))(((^y.y) a)((a a)(^z.z)))) 8. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 9. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a)(^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. ------ 116607/11392032. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.y))(b a))) REDUCED to normal form. ------ 116608/11392050. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 116609/11392059. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116610/11392122. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 116611/11392149. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 116612/11392176. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((a ((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 116613/11392203. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)(^b.(^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. ------ 116614/11392257. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(^z.b))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(^y.b))) 7. ==[ beta ]==> ((((a a) a) a)(^y.b)) 8. ==[ alpha ]==> ((((a a) a) a)(^x.b)) REDUCED to normal form. ------ 116615/11392284. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 116616/11392374. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.x1)(a (^y1.(^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. ------ 116617/11392509. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116618/11392590. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 116619/11392617. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116620/11392626. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(c ((a a)(^z.z)))) REDUCED to normal form. ------ 116621/11392653. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(b (b a))) 3. ==[ beta ]==> ((a (^y.b))(b (b a))) 4. ==[ alpha ]==> ((a (^x.b))(b (b a))) REDUCED to normal form. ------ 116622/11392671. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116623/11392707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((b a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((b a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116624/11392734. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 116625/11392761. ------ 1. ==[ start ]==> (((a b)(^b.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.a))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.a))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.a))((a a) a)) REDUCED to normal form. ------ 116626/11392788. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a (a a)))) REDUCED to normal form. ------ 116627/11392815. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^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. ------ 116628/11392986. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((b a)(^x.x))) REDUCED to normal form. ------ 116629/11393013. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 116630/11393040. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.a))) REDUCED to normal form. ------ 116631/11393067. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a b)(^y.(y y)))) REDUCED to normal form. ------ 116632/11393094. ------ 1. ==[ start ]==> ((a (b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 116633/11393184. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116634/11393373. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 116635/11393400. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116636/11393454. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 116637/11393463. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(c (a a))) REDUCED to normal form. ------ 116638/11393517. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 116639/11393544. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 116640/11393571. ------ 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)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.a))((a a)(a (^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.a))((a a)(a (^y.y)))) REDUCED to normal form. ------ 116641/11393598. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a b) a)) REDUCED to normal form. ------ 116642/11393796. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 116643/11393823. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 116644/11393850. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a b)(^z.a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)(^z.a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)(^y.a))) 5. ==[ beta ]==> (((a a) a)((a b)(^y.a))) 6. ==[ alpha ]==> (((a a) a)((a b)(^x.a))) REDUCED to normal form. ------ 116645/11393877. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 116646/11393940. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(y1 y1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116647/11394021. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((a a)((a a)(^y.y))) 8. ==[ alpha ]==> ((a a)((a a)(^x.x))) REDUCED to normal form. ------ 116648/11394102. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116649/11394210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116650/11394237. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116651/11394246. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 116652/11394264. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116653/11394327. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 116654/11394354. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)((^z.z) a))) 5. ==[ beta ]==> ((^y.b)(((a a) a)((^z.z) a))) 6. ==[ alpha ]==> ((^x.b)(((a a) a)((^y.y) a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116655/11394408. ------ 1. ==[ start ]==> (((a b)(^b.(^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. ------ 116656/11394435. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a ((a a) a))) REDUCED to normal form. ------ 116657/11394462. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (^z.z))(a b))) REDUCED to normal form. ------ 116658/11394534. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 116659/11394552. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 116660/11394579. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((a a) a)(^y.a))) REDUCED to normal form. ------ 116661/11394606. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 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. ------ 116662/11394633. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 116663/11394660. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 7. ==[ beta ]==> ((a b)(a (^y.a))) 8. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 116664/11394687. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 116665/11394714. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(a a)))) REDUCED to normal form. ------ 116666/11394741. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a)) a)) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a)) a)) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a)) a)) 5. ==[ beta ]==> (((a a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 116667/11394768. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b) b)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b) b)) REDUCED to normal form. ------ 116668/11394858. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116669/11394885. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)(^x2.a))) 3. ==[ beta ]==> ((^y.y)((^z1.a)(^x2.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116670/11395128. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(b (^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116671/11395137. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a a)(a b))) REDUCED to normal form. ------ 116672/11395182. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b)(a a))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(a a))) 5. ==[ beta ]==> (b ((^y.b)(a a))) 6. ==[ alpha ]==> (b ((^x.b)(a a))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116673/11395263. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 116674/11395344. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.y)(a b))) 3. ==[ beta ]==> (b ((^y.y)(a b))) 4. ==[ alpha ]==> (b ((^x.x)(a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 116675/11395452. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116676/11395488. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(c ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(c (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(c (^y.y))) REDUCED to normal form. ------ 116677/11395551. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 116678/11395578. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a) b)) 3. ==[ beta ]==> ((a (b a))((^y.a) b)) 4. ==[ alpha ]==> ((a (b a))((^x.a) b)) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 116679/11395605. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z)) c)) 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. ------ 116680/11395740. ------ 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. ------ 116681/11395794. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a))(^x1.a))) REDUCED to normal form. ------ 116682/11395821. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((b (a a))(a (^y.(y y)))) 6. ==[ alpha ]==> ((b (a a))(a (^x.(x x)))) REDUCED to normal form. ------ 116683/11395848. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 116684/11395884. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 116685/11396019. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 116686/11396163. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (^y.y))(a (a a)))) 3. ==[ beta ]==> ((b b)((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> ((b b)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 116687/11396190. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) a)((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((a a)(^x.x))) REDUCED to normal form. ------ 116688/11396235. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116689/11396289. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 116690/11396370. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116691/11396433. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(c a)) REDUCED to normal form. ------ 116692/11396478. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)(^b.(^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. ------ 116693/11396487. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.x1))) REDUCED to normal form. ------ 116694/11396514. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 116695/11396541. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 116696/11396631. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(^x1.x1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 116697/11396658. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 116698/11396685. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 116699/11396712. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 116700/11396739. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a)) a)) REDUCED to normal form. ------ 116701/11396766. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(((^y.y) a) b)) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a) b)) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a) b)) 5. ==[ beta ]==> (((a a)((a a) a))(a b)) REDUCED to normal form. ------ 116702/11396847. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 116703/11396874. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a) b)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 116704/11397018. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)((^y2.y2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116705/11397099. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 116706/11397207. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(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. ------ 116707/11397243. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(a c)) 3. ==[ beta ]==> ((b c)(a c)) REDUCED to normal form. ------ 116708/11397270. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (a a))) REDUCED to normal form. ------ 116709/11397315. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (^z.z))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.y))) REDUCED to normal form. ------ 116710/11397342. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 116711/11397378. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a b)) 3. ==[ beta ]==> ((a (^y.y))(a b)) 4. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 116712/11397396. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 116713/11397405. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a a))) REDUCED to normal form. ------ 116714/11405193. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116715/11405844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 116716/11406231. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(b (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 116717/11406309. ------ 1. ==[ start ]==> ((^a.(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1) a))(((a (^y.(^z.z)))((^x1.x1) a))((a (^y.(^z.z)))((^x1.x1) a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((a (^x1.(^y1.y1)))((^z1.z1) a))((a (^x2.(^y2.y2)))((^z2.z2) a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a (^x1.(^y1.y1)))((^z1.z1) a))((a (^x2.(^y2.y2)))((^z2.z2) a)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a (^z.(^x1.x1)))((^y1.y1) a))((a (^z1.(^x2.x2)))((^y2.y2) a)))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a (^z.(^x1.x1))) a)((a (^z1.(^x2.x2)))((^y2.y2) a)))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a (^z.(^x1.x1))) a)((a (^y1.(^z1.z1)))((^x2.x2) a)))) 9. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a (^z.(^x1.x1))) a)((a (^y1.(^z1.z1))) a))) REDUCED to normal form. ------ 116718/11407302. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 116719/11407605. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^z.(^x1.x1)))) b) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 116720/11407968. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 116721/11407977. ------ 1. ==[ start ]==> (((a b)(^a.a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 116722/11407992. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) b) a)) 3. ==[ beta ]==> (^y.((((^z.z) b) a)(((^z.z) b) a))) 4. ==[ alpha ]==> (^x.((((^y.y) b) a)(((^z.z) b) a))) 5. ==[ beta ]==> (^x.((b a)(((^z.z) b) a))) 6. ==[ alpha ]==> (^x.((b a)(((^y.y) b) a))) 7. ==[ beta ]==> (^x.((b a)(b a))) REDUCED to normal form. ------ 116723/11408625. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116724/11408913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 116725/11410560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116726/11411070. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116727/11411703. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(y y)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 116728/11411883. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.b))) 3. ==[ beta ]==> (b (^y.(^z.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 116729/11411892. ------ 1. ==[ start ]==> (((a b)(^c.a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a y))) 3. ==[ eta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 116730/11412090. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(x1 b))) REDUCED to normal form. ------ 116731/11412423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.a))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 116732/11412891. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 116733/11413026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 116734/11413143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(a (a a)))) REDUCED to normal form. ------ 116735/11413386. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(x1 (x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 (x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z (z z)))) REDUCED to normal form. ------ 116736/11413464. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116737/11413467. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^y.a)) REDUCED to normal form. ------ 116738/11413638. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116739/11413782. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b c)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 116740/11413881. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116741/11413917. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 116742/11413944. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 116743/11414010. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 116744/11414028. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116745/11414037. ------ 1. ==[ start ]==> (((a a) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) a)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116746/11414055. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 116747/11414064. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 116748/11414091. ------ 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)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116749/11414118. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^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. ------ 116750/11414136. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116751/11414163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 116752/11414190. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 116753/11414199. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 116754/11414226. ------ 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 z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 116755/11414280. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116756/11414361. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 116757/11414415. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.a))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 116758/11414442. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 116759/11414505. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(a (b (^y.y)))) 3. ==[ beta ]==> (((a a) a)(a (b (^y.y)))) 4. ==[ alpha ]==> (((a a) a)(a (b (^x.x)))) REDUCED to normal form. ------ 116760/11414532. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 116761/11414559. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 116762/11414586. ------ 1. ==[ start ]==> ((a (a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> ((a (a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 116763/11414829. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^x.x)) b)) REDUCED to normal form. ------ 116764/11414856. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)((a a)(a a)))) REDUCED to normal form. ------ 116765/11414901. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a))(a a))) 3. ==[ beta ]==> ((b b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((b b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 116766/11414946. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 116767/11414973. ------ 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 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. ------ 116768/11415036. ------ 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. ------ 116769/11415063. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(a b))) 5. ==[ beta ]==> (a ((^y.b)(a b))) 6. ==[ alpha ]==> (a ((^x.b)(a b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 116770/11415081. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 116771/11415090. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 116772/11415117. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.z)) REDUCED to normal form. ------ 116773/11415144. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a (^x.a))((b a)(b a))) REDUCED to normal form. ------ 116774/11415162. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 116775/11415171. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 116776/11415198. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((^z1.z1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 7. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116777/11415522. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 116778/11415576. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(a a))) REDUCED to normal form. ------ 116779/11415621. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z) 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 a)((^y.y) b)) 8. ==[ alpha ]==> ((a a)((^x.x) b)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 116780/11415720. ------ 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. ------ 116781/11415747. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a b)((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)((a a) a))) REDUCED to normal form. ------ 116782/11415774. ------ 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. ------ 116783/11415801. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a)) a)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a)) a)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a)) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a (a a)) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 116784/11415828. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^y.y))((a (a a))((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 116785/11415855. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(b a))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (b a))) REDUCED to normal form. ------ 116786/11415873. ------ 1. ==[ start ]==> (((^a.b) a)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 116787/11415882. ------ 1. ==[ start ]==> ((a (a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 116788/11415972. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) IRREDUCIBLE: cycle. ------ 116789/11416035. ------ 1. ==[ start ]==> ((((a a) a) b)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) b)(^x.x)) REDUCED to normal form. ------ 116790/11416053. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 116791/11416062. ------ 1. ==[ start ]==> (((a b) a)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 116792/11416080. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)(^y.a))) 3. ==[ beta ]==> ((a b)((a b)(^y.a))) 4. ==[ alpha ]==> ((a b)((a b)(^x.a))) REDUCED to normal form. ------ 116793/11416089. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 116794/11416107. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.b))) 5. ==[ beta ]==> (((a a) a)(^y.b)) 6. ==[ alpha ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 116795/11416143. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116796/11416170. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 116797/11416197. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(b a))) 5. ==[ beta ]==> ((^y.a)((^z.a)(b a))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 116798/11416224. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 116799/11416242. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 116800/11416251. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z) b)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y) b)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 116801/11416269. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 116802/11416440. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(^z.b))) 3. ==[ beta ]==> (b ((^y.a)(^z.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116803/11416845. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (^d.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 116804/11416872. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 116805/11416899. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 116806/11417088. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116807/11417187. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(^x1.(^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. ------ 116808/11417331. ------ 1. ==[ start ]==> (((a b) c)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 116809/11417358. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 116810/11417385. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 116811/11417439. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)(^c.(^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. ------ 116812/11417565. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116813/11417664. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.z)((a a) a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)((a a) a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 116814/11417691. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((a (a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (a a))(a b))) REDUCED to normal form. ------ 116815/11417718. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a b))(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b))(a ((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a b))(a ((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a b))(a (a a))) REDUCED to normal form. ------ 116816/11417745. ------ 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))((a a)(^y.y)))) REDUCED to normal form. ------ 116817/11417772. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a a)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a a)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)(b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a a)(b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b a))) 7. ==[ beta ]==> ((^y.y)((a a)(b a))) 8. ==[ alpha ]==> ((^x.x)((a a)(b a))) 9. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 116818/11417997. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(^x1.(a a)))) 5. ==[ beta ]==> (b (((^z.z) a)(^x1.(a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 7. ==[ beta ]==> (b (a (^y.(a a)))) 8. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 116819/11418078. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 116820/11418141. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 116821/11418249. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 116822/11418276. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 116823/11418474. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(b a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(b a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a a)(b a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)(b a))(^y.y)) 8. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 116824/11418501. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 116825/11418528. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)(a b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a (a a))(a (a b))) REDUCED to normal form. ------ 116826/11418555. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))((a (^x.x))(a a))) REDUCED to normal form. ------ 116827/11418582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 116828/11418735. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116829/11418834. ------ 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 a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 116830/11418915. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 116831/11419032. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 116832/11419059. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 116833/11419131. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a)) b)) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a)) b)) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a)) b)) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 116834/11419275. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (^z.b))) REDUCED to normal form. ------ 116835/11419347. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 116836/11419626. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116837/11419833. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a) c)) 3. ==[ beta ]==> (b ((^z.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116838/11419950. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (^z.b))) REDUCED to normal form. ------ 116839/11419977. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a (^y.(a a)))) 3. ==[ beta ]==> ((b a)(a (^y.(a a)))) 4. ==[ alpha ]==> ((b a)(a (^x.(a a)))) REDUCED to normal form. ------ 116840/11419995. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)(^z.z))) 3. ==[ beta ]==> (((^y.y) b)((a b)(^z.z))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(^y.y))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 116841/11420004. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a a))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 116842/11420022. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^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. ------ 116843/11420076. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 116844/11420112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116845/11420139. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 116846/11420157. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(^y.b))) 3. ==[ beta ]==> (b ((a a)(^y.b))) 4. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 116847/11420166. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a b))) 3. ==[ beta ]==> (((a b)(^x.a))(a b)) REDUCED to normal form. ------ 116848/11420193. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 116849/11420274. ------ 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))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.(z1 z1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(z1 z1)))) IRREDUCIBLE: cycle. ------ 116850/11420301. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 116851/11420337. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b ((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b ((a a) a))) 3. ==[ beta ]==> (((a a) b)(b ((a a) a))) REDUCED to normal form. ------ 116852/11420364. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (a b))) REDUCED to normal form. ------ 116853/11420391. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((a a) a)(a a))) 3. ==[ beta ]==> ((a (b a))(((a a) a)(a a))) REDUCED to normal form. ------ 116854/11420418. ------ 1. ==[ start ]==> (((a (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))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.z))) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 116855/11420445. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))((^y.y) a))) 7. ==[ beta ]==> ((a a)((a (a a))((^y.y) a))) 8. ==[ alpha ]==> ((a a)((a (a a))((^x.x) a))) 9. ==[ beta ]==> ((a a)((a (a a)) a)) REDUCED to normal form. ------ 116856/11420472. ------ 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. ------ 116857/11420499. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 116858/11420526. ------ 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. ------ 116859/11420697. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 116860/11420940. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116861/11420976. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (^y.(y y)))) 3. ==[ beta ]==> ((b b)(c (^y.(y y)))) 4. ==[ alpha ]==> ((b b)(c (^x.(x x)))) REDUCED to normal form. ------ 116862/11421003. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 116863/11421048. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.x1)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.z)) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116864/11421057. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 116865/11421084. ------ 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.(y1 y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a (^y1.y1))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 116866/11421102. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)(^y.a))) 5. ==[ beta ]==> (((b a)(b a))(a (^y.a))) 6. ==[ alpha ]==> (((b a)(b a))(a (^x.a))) REDUCED to normal form. ------ 116867/11421165. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 116868/11421183. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (b (((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) a)) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 116869/11421192. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 116870/11421246. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 116871/11421300. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)(^b.(^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. ------ 116872/11421390. ------ 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. ------ 116873/11421417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a a)(a (a a)))) REDUCED to normal form. ------ 116874/11421660. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a (a a)))) REDUCED to normal form. ------ 116875/11421687. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 116876/11421714. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 116877/11421741. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)((^y.y) a))) 3. ==[ beta ]==> ((a (b (^x.x)))((a a) a)) REDUCED to normal form. ------ 116878/11421831. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116879/11421912. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 116880/11422020. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116881/11422056. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(a (^z.z)))) 3. ==[ beta ]==> ((b c)((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((b c)((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((b c)(a (^y.y))) 6. ==[ alpha ]==> ((b c)(a (^x.x))) REDUCED to normal form. ------ 116882/11422083. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 116883/11422128. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 116884/11422155. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z) b)) 3. ==[ beta ]==> ((^y.y)((^z.z) b)) 4. ==[ alpha ]==> ((^x.x)((^y.y) b)) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 116885/11422191. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 116886/11422209. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a) a)) REDUCED to normal form. ------ 116887/11422218. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 116888/11422401. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^z.(z (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((^x.(x (^y.y)))(^z.z)) 5. ==[ beta ]==> ((^z.z)(^y.y)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116889/11430573. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(b a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 7. ==[ beta ]==> ((^y.(^z.z))(b a)) 8. ==[ alpha ]==> ((^x.(^y.y))(b a)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116890/11430600. ------ 1. ==[ start ]==> ((^a.b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 116891/11430681. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^z.z)(b (^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.z)) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 116892/11430684. ------ 1. ==[ start ]==> ((a (a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 116893/11430870. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(^x1.b))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 116894/11431041. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 116895/11431365. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 116896/11431491. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116897/11431791. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((a a)(a a)))) REDUCED to normal form. ------ 116898/11432256. ------ 1. ==[ start ]==> ((^a.(^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 116899/11432436. ------ 1. ==[ start ]==> ((^a.(a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((c (^y.(^z.(^x1.x1)))) b) 4. ==[ alpha ]==> ((c (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 116900/11432808. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116901/11433030. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(^y1.(a a)))((^z.(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116902/11433705. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^z.a)((a a)(^x1.x1)))((^z.a)((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.a)((a a)(^y.y)))((^z.a)((a a)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> ((a ((^z.a)((a a)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> ((a ((^x.a)((a a)(^y.y))))(^z.z)) 7. ==[ beta ]==> ((a a)(^z.z)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 116903/11434356. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 116904/11434461. ------ 1. ==[ start ]==> ((^a.(b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.b)(a (a a)))) 3. ==[ eta ]==> (b ((^y.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116905/11434905. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(b y))) 3. ==[ eta ]==> (((^x.b)(a (a a))) b) 4. ==[ beta ]==> (b b) REDUCED to normal form. ------ 116906/11435010. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 116907/11435298. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 116908/11436111. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(^x.((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 116909/11436216. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116910/11436723. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 116911/11436921. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 116912/11437110. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.b))) REDUCED to normal form. ------ 116913/11437215. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(a (a a)))) 3. ==[ beta ]==> ((((^y.a)(a (a a)))((^y.a)(a (a a))))(((^y.a)(a (a a)))((^y.a)(a (a a))))) 4. ==[ alpha ]==> ((((^x.a)(a (a a)))((^y.a)(a (a a))))(((^z.a)(a (a a)))((^x1.a)(a (a a))))) 5. ==[ beta ]==> ((a ((^y.a)(a (a a))))(((^z.a)(a (a a)))((^x1.a)(a (a a))))) 6. ==[ alpha ]==> ((a ((^x.a)(a (a a))))(((^y.a)(a (a a)))((^z.a)(a (a a))))) 7. ==[ beta ]==> ((a a)(((^y.a)(a (a a)))((^z.a)(a (a a))))) 8. ==[ alpha ]==> ((a a)(((^x.a)(a (a a)))((^y.a)(a (a a))))) 9. ==[ beta ]==> ((a a)(a ((^y.a)(a (a a))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(a (a a))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 116914/11437722. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 116915/11438001. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.(^b.(^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. ------ 116916/11438109. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 116917/11438217. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(x1 x1)))) REDUCED to normal form. ------ 116918/11438295. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 116919/11438613. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 116920/11438685. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 116921/11438748. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 116922/11438766. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.b)) REDUCED to normal form. ------ 116923/11438859. ------ 1. ==[ start ]==> ((a (a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a (a a))(^y.y)) 4. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 116924/11438877. ------ 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. ------ 116925/11438886. ------ 1. ==[ start ]==> ((a b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 116926/11438904. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 116927/11438931. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 116928/11438940. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 116929/11438967. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 116930/11438985. ------ 1. ==[ start ]==> (((a a) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a) b)((b (^x.x)) a)) REDUCED to normal form. ------ 116931/11439012. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 116932/11439039. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b c)) REDUCED to normal form. ------ 116933/11439156. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 116934/11439327. ------ 1. ==[ start ]==> ((a (^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 116935/11439417. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y) c)) 3. ==[ beta ]==> ((a a)((^y.y) c)) 4. ==[ alpha ]==> ((a a)((^x.x) c)) 5. ==[ beta ]==> ((a a) c) REDUCED to normal form. ------ 116936/11439435. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^y.(^z.z)))((^x1.x1) a))((a (^y.(^z.z)))((^x1.x1) a))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.(^y1.y1)))((^z1.z1) a))) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 9. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 116937/11439462. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((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. ------ 116938/11439516. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 116939/11439543. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)(a b))) 3. ==[ beta ]==> ((a (a a))((a b)(a b))) REDUCED to normal form. ------ 116940/11439570. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 116941/11439624. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (a a))(b a))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(b a))) REDUCED to normal form. ------ 116942/11439651. ------ 1. ==[ start ]==> ((a (^b.(^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. ------ 116943/11439696. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 116944/11439741. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(a a))(^y.y))) 3. ==[ beta ]==> ((b b)(((a a)(a a))(^y.y))) 4. ==[ alpha ]==> ((b b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 116945/11439777. ------ 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 (^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. ------ 116946/11439876. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)(^y.a))) 4. ==[ alpha ]==> (((a (a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 116947/11439903. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y) a)((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(^y.b))) 5. ==[ beta ]==> (a ((a b)(^y.b))) 6. ==[ alpha ]==> (a ((a b)(^x.b))) REDUCED to normal form. ------ 116948/11439930. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 116949/11440011. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 116950/11440038. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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)) REDUCED to normal form. ------ 116951/11440074. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 116952/11440128. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 116953/11440155. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 116954/11440407. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(b ((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(b ((^y1.y1) 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. ------ 116955/11440461. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(a a))) 7. ==[ beta ]==> ((a a)(((^y.y) b)(a a))) 8. ==[ alpha ]==> ((a a)(((^x.x) b)(a a))) 9. ==[ beta ]==> ((a a)(b (a a))) REDUCED to normal form. ------ 116956/11440470. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y) b)) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 116957/11440542. ------ 1. ==[ start ]==> ((a (^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 116958/11440722. ------ 1. ==[ start ]==> ((a (a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 116959/11440731. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)((a (^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 116960/11440875. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 116961/11440902. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))(^b.(^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. ------ 116962/11440929. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)(^y.a))) REDUCED to normal form. ------ 116963/11440983. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 116964/11441064. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 116965/11441091. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 116966/11441127. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 116967/11441154. ------ 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)))(^y1.(^z1.z1)))) 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. ------ 116968/11441235. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 116969/11441262. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 116970/11441289. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 116971/11441316. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 116972/11441406. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(b (a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 7. ==[ beta ]==> (b (a (^y.(^z.z)))) 8. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 116973/11441487. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 116974/11441541. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a a)(((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(a a))(a (a a)))) 7. ==[ beta ]==> ((a a)((a a)(a (a a)))) REDUCED to normal form. ------ 116975/11441568. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 116976/11441622. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))(a b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))(a b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(a b))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(a b))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a b))) 11. ==[ beta ]==> (((^y.y)(^z.z))(a b)) 12. ==[ alpha ]==> (((^x.x)(^y.y))(a b)) 13. ==[ beta ]==> ((^y.y)(a b)) 14. ==[ alpha ]==> ((^x.x)(a b)) 15. ==[ beta ]==> (a b) REDUCED to normal form. ------ 116977/11441703. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 116978/11441775. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 116979/11441856. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a a)) REDUCED to normal form. ------ 116980/11441883. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a a))((^y.b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 116981/11441928. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 116982/11441937. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 116983/11441964. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 116984/11441991. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 116985/11442324. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(b (b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(b (b a))) REDUCED to normal form. ------ 116986/11442360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 116987/11442405. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((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. ------ 116988/11442414. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 116989/11442639. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 116990/11442720. ------ 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))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(a a)) REDUCED to normal form. ------ 116991/11442747. ------ 1. ==[ start ]==> ((a (b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((a (b a))((^x.b)(a (a a)))) 3. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 116992/11442981. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a) c)) REDUCED to normal form. ------ 116993/11443188. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(a (b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(a (b a))) 3. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 116994/11443224. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 116995/11443251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 116996/11443296. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 116997/11443395. ------ 1. ==[ start ]==> (((a (a a))(a b))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c (^x.(a a)))) REDUCED to normal form. ------ 116998/11443422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 116999/11443476. ------ 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)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 117000/11443503. ------ 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.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)((^y.(a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 117001/11443530. ------ 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)((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 117002/11443575. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117003/11443584. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 117004/11443917. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.y)(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117005/11443971. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a a))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a a))) 9. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 117006/11443980. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 117007/11444007. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b) c)) 5. ==[ beta ]==> ((^y.b)((^z.b) c)) 6. ==[ alpha ]==> ((^x.b)((^y.b) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117008/11444052. ------ 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)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (b ((^y.y)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 117009/11444160. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117010/11444205. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 117011/11444232. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 117012/11444286. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(^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. ------ 117013/11444313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(^z.z)))) 7. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 8. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a b)(^y.y)) 14. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117014/11444340. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 117015/11444367. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 117016/11444394. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^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. ------ 117017/11444421. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 117018/11444466. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a) c)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) c)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117019/11444502. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117020/11444673. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 117021/11444781. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^z1.z1))((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. ------ 117022/11444844. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 117023/11444871. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 117024/11444952. ------ 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.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117025/11444979. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 117026/11445006. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 117027/11445033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^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. ------ 117028/11445060. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((a a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((a a) a) b)) REDUCED to normal form. ------ 117029/11445177. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 117030/11445204. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 117031/11445339. ------ 1. ==[ start ]==> (((a b)((a a) a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 117032/11445366. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(b (^x1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(b (^x1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.a))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 117033/11445393. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.b))) REDUCED to normal form. ------ 117034/11445447. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 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. ------ 117035/11445474. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((b (a a))(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((b (a a))(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b (a a))(a ((^y.y) a))) 8. ==[ alpha ]==> ((b (a a))(a ((^x.x) a))) 9. ==[ beta ]==> ((b (a a))(a a)) REDUCED to normal form. ------ 117036/11445501. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 117037/11445672. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 117038/11445780. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((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. ------ 117039/11445861. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 117040/11445897. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^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. ------ 117041/11445924. ------ 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 (a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 117042/11446005. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 117043/11446032. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z) a)) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 117044/11446086. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a c)) REDUCED to normal form. ------ 117045/11446131. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(b (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117046/11446167. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^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. ------ 117047/11446194. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(b b)) REDUCED to normal form. ------ 117048/11446257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (^z.(z z)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(b (^y.(y y)))) REDUCED to normal form. ------ 117049/11446284. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a (^b.(^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. ------ 117050/11446311. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a (a a))(b a))((a a)(a a))) REDUCED to normal form. ------ 117051/11446338. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 117052/11446365. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 117053/11446392. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))(a (a a))) REDUCED to normal form. ------ 117054/11446419. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(^z.z))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^z.z))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.y))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 117055/11446446. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 117056/11446500. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(z z))) REDUCED to normal form. ------ 117057/11446581. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 117058/11446671. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b c)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b c)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b c)) 5. ==[ beta ]==> ((^y.(^z.z))(b c)) 6. ==[ alpha ]==> ((^x.(^y.y))(b c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117059/11446752. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 117060/11446896. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b c)((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 117061/11446923. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x)) a)) REDUCED to normal form. ------ 117062/11446968. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 117063/11446995. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(a a))) 3. ==[ beta ]==> ((^y.y)((a a)(a a))) 4. ==[ alpha ]==> ((^x.x)((a a)(a a))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 117064/11447031. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.z))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 117065/11447049. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a b)) REDUCED to normal form. ------ 117066/11447058. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a) a)) REDUCED to normal form. ------ 117067/11449392. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.(^y.(x x)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.z)) 5. ==[ beta ]==> (^y.((^z.z)(^z.z))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117068/11452470. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117069/11455458. ------ 1. ==[ start ]==> ((^a.b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.b)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 117070/11455494. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117071/11455551. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117072/11455656. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 117073/11455998. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y) c)) 3. ==[ beta ]==> (((^y.y) c)(((^y.y) c)((^y.y) c))) 4. ==[ alpha ]==> (((^x.x) c)(((^y.y) c)((^z.z) c))) 5. ==[ beta ]==> (c (((^y.y) c)((^z.z) c))) 6. ==[ alpha ]==> (c (((^x.x) c)((^y.y) c))) 7. ==[ beta ]==> (c (c ((^y.y) c))) 8. ==[ alpha ]==> (c (c ((^x.x) c))) 9. ==[ beta ]==> (c (c c)) REDUCED to normal form. ------ 117074/11456349. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117075/11457018. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((y y)(y y)))) REDUCED to normal form. ------ 117076/11457681. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> (^y.(((^z.z)((^x1.x1) b))((^z.z)((^x1.x1) b)))) 4. ==[ alpha ]==> (^x.(((^y.y)((^z.z) b))((^x1.x1)((^y1.y1) b)))) 5. ==[ beta ]==> (^x.(((^z.z) b)((^x1.x1)((^y1.y1) b)))) 6. ==[ alpha ]==> (^x.(((^y.y) b)((^z.z)((^x1.x1) b)))) 7. ==[ beta ]==> (^x.(b ((^z.z)((^x1.x1) b)))) 8. ==[ alpha ]==> (^x.(b ((^y.y)((^z.z) b)))) 9. ==[ beta ]==> (^x.(b ((^z.z) b))) 10. ==[ alpha ]==> (^x.(b ((^y.y) b))) 11. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 117077/11457684. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117078/11458935. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117079/11459319. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(^y.(y y)))) 3. ==[ eta ]==> (b ((a b)(^y.(y y)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 117080/11459493. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(z a))) 3. ==[ beta ]==> (b (^z.(z a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 117081/11459772. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(b y))) 3. ==[ eta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 117082/11460156. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))(^y.(^z.z))) 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. ------ 117083/11460759. ------ 1. ==[ start ]==> ((^a.(^b.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117084/11460762. ------ 1. ==[ start ]==> ((a (^b.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117085/11461392. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(a b))) 3. ==[ beta ]==> ((b a)(^y.(a b))) 4. ==[ alpha ]==> ((b a)(^x.(a b))) REDUCED to normal form. ------ 117086/11461410. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(y y)))) 5. ==[ beta ]==> (b (^y.(^z.(y y)))) 6. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 117087/11462073. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(z z)))(((^y.y) a)(^z.(z z))))((((^y.y) a)(^z.(z z)))(((^y.y) a)(^z.(z z))))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))((((^y1.y1) a)(^z1.(z1 z1)))(((^x2.x2) a)(^y2.(y2 y2))))) 5. ==[ beta ]==> (((a (^y.(y y)))(((^z.z) a)(^x1.(x1 x1))))((((^y1.y1) a)(^z1.(z1 z1)))(((^x2.x2) a)(^y2.(y2 y2))))) 6. ==[ alpha ]==> (((a (^x.(x x)))(((^y.y) a)(^z.(z z))))((((^x1.x1) a)(^y1.(y1 y1)))(((^z1.z1) a)(^x2.(x2 x2))))) 7. ==[ beta ]==> (((a (^x.(x x)))(a (^z.(z z))))((((^x1.x1) a)(^y1.(y1 y1)))(((^z1.z1) a)(^x2.(x2 x2))))) 8. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))((((^z.z) a)(^x1.(x1 x1)))(((^y1.y1) a)(^z1.(z1 z1))))) 9. ==[ beta ]==> (((a (^x.(x x)))(a (^y.(y y))))((a (^x1.(x1 x1)))(((^y1.y1) a)(^z1.(z1 z1))))) 10. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))((a (^z.(z z)))(((^x1.x1) a)(^y1.(y1 y1))))) 11. ==[ beta ]==> (((a (^x.(x x)))(a (^y.(y y))))((a (^z.(z z)))(a (^y1.(y1 y1))))) 12. ==[ alpha ]==> (((a (^x.(x x)))(a (^y.(y y))))((a (^z.(z z)))(a (^x1.(x1 x1))))) REDUCED to normal form. ------ 117088/11462463. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 117089/11462598. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 117090/11462742. ------ 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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 117091/11462967. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(y y)))) REDUCED to normal form. ------ 117092/11463153. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117093/11463435. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117094/11463471. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.b)) 3. ==[ beta ]==> ((b c)(^y.b)) 4. ==[ alpha ]==> ((b c)(^x.b)) REDUCED to normal form. ------ 117095/11463498. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.c)) REDUCED to normal form. ------ 117096/11463543. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117097/11463624. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(a a))) REDUCED to normal form. ------ 117098/11463633. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.b)) REDUCED to normal form. ------ 117099/11463735. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117100/11463753. ------ 1. ==[ start ]==> ((a b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a b)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 117101/11463762. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 117102/11463789. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 117103/11463843. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(b (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117104/11463924. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 117105/11463951. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 117106/11464032. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 117107/11464059. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117108/11464140. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117109/11464284. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a a)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a a)(b (a (^x.x)))) REDUCED to normal form. ------ 117110/11464293. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x) c)) 3. ==[ beta ]==> ((a (a (a a))) c) REDUCED to normal form. ------ 117111/11464365. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 117112/11464392. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((a a)((a a) a))) REDUCED to normal form. ------ 117113/11464419. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 117114/11464446. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a) a)(a a))) REDUCED to normal form. ------ 117115/11464473. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 117116/11464500. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 117117/11464617. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 117118/11464644. ------ 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 (^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. ------ 117119/11464653. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 117120/11464680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((^x1.(^y1.(^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. ------ 117121/11464788. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 7. ==[ beta ]==> ((^y.b)(a b)) 8. ==[ alpha ]==> ((^x.b)(a b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 117122/11464869. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(b a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((b a)(b a))) REDUCED to normal form. ------ 117123/11464968. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(a a)) a)) REDUCED to normal form. ------ 117124/11464995. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) b)) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) b)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) b)) 5. ==[ beta ]==> ((a a)(((^y.y) b) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 117125/11465112. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117126/11465166. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(^x1.(a a)))) 5. ==[ beta ]==> (a ((^z.a)(^x1.(a a)))) 6. ==[ alpha ]==> (a ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117127/11465247. ------ 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. ------ 117128/11465274. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117129/11465283. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b b)) REDUCED to normal form. ------ 117130/11465310. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(a ((a a)(a a)))) REDUCED to normal form. ------ 117131/11465337. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b (a a))) REDUCED to normal form. ------ 117132/11465364. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117133/11465391. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((b a)((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))((b a) a)) REDUCED to normal form. ------ 117134/11465580. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) a)(b a))) 3. ==[ beta ]==> (b (((^y.y) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 117135/11465598. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.b)(c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.b)(c (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117136/11465679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z)(a a))) IRREDUCIBLE: cycle. ------ 117137/11465760. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117138/11465787. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 117139/11465814. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((a a) a))) 5. ==[ beta ]==> ((^y.b)((a a) a)) 6. ==[ alpha ]==> ((^x.b)((a a) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117140/11465868. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 117141/11465949. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117142/11465976. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 117143/11465994. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) b) a)) 3. ==[ beta ]==> (((a a)(a b))(b a)) REDUCED to normal form. ------ 117144/11466021. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 117145/11466048. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a) c)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a) c)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a) c)) 5. ==[ beta ]==> ((a (^y.y))((b a) c)) 6. ==[ alpha ]==> ((a (^x.x))((b a) c)) REDUCED to normal form. ------ 117146/11466192. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117147/11466219. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117148/11466273. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117149/11466363. ------ 1. ==[ start ]==> (((a b) b)((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) b)((b a)(a (^x.x)))) REDUCED to normal form. ------ 117150/11466390. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a) a)(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a) a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 117151/11466417. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 117152/11466444. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((a b)(^z.z))) REDUCED to normal form. ------ 117153/11466498. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 117154/11466525. ------ 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)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((a (a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((a (a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))((^y.y)(a a)))((a (a a))((^y.y)(a a)))) 8. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a)))) 9. ==[ beta ]==> (((a (a a))(a a))((a (a a))((^y.y)(a a)))) 10. ==[ alpha ]==> (((a (a a))(a a))((a (a a))((^x.x)(a a)))) 11. ==[ beta ]==> (((a (a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 117155/11466552. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 117156/11466570. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (^z.a))) 3. ==[ beta ]==> (b (c (^z.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 117157/11466579. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.z))(b a))) REDUCED to normal form. ------ 117158/11466606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 117159/11466642. ------ 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)(a a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 117160/11466669. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 117161/11466696. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 117162/11466723. ------ 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 a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(^y.(y y)))) REDUCED to normal form. ------ 117163/11466750. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)(^b.(^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. ------ 117164/11466804. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(^z.b)) 6. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.b)) REDUCED to normal form. ------ 117165/11466831. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 117166/11466894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117167/11467029. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117168/11467110. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 117169/11467137. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 7. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117170/11467173. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(c ((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^y.b))(c ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.b))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 117171/11467227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.(^x1.x1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117172/11467254. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a)(a a))) REDUCED to normal form. ------ 117173/11467281. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 117174/11467308. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 117175/11467335. ------ 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)))) REDUCED to normal form. ------ 117176/11467533. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a)(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a)(^y.y))) 3. ==[ beta ]==> (((a b) a)((b a)(^y.y))) 4. ==[ alpha ]==> (((a b) a)((b a)(^x.x))) REDUCED to normal form. ------ 117177/11467560. ------ 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 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. ------ 117178/11467587. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(^y.a))) REDUCED to normal form. ------ 117179/11467614. ------ 1. ==[ start ]==> ((a (b a))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b a))((a b)(^x.(x x)))) REDUCED to normal form. ------ 117180/11467704. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(z z))(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(z z))(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(a b))) 5. ==[ beta ]==> (b ((^z.(z z))(a b))) 6. ==[ alpha ]==> (b ((^x.(x x))(a b))) 7. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 117181/11467785. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.z)(b a))) 3. ==[ beta ]==> (b ((^z.z)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 117182/11467893. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.(y y)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 117183/11467974. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.b))) 5. ==[ beta ]==> (((a b)(a b))((^y.b)(^y.b))) 6. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.b))) 7. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 117184/11468037. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 117185/11468064. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(a (b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 117186/11468091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y))(a a))) REDUCED to normal form. ------ 117187/11468118. ------ 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)(a a))(a (^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. ------ 117188/11468343. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 117189/11468370. ------ 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)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(^y.(^z.z)))) 7. ==[ beta ]==> (((a a) a)((a a)(^y.(^z.z)))) 8. ==[ alpha ]==> (((a a) a)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 117190/11468397. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 117191/11468451. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 117192/11468460. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117193/11468541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((^y1.y1)(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. ------ 117194/11468622. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117195/11468757. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 117196/11468784. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117197/11468847. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 117198/11468874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)((a b)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.b)((a b)(a (^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117199/11468928. ------ 1. ==[ start ]==> (((a b)(^b.(^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. ------ 117200/11468955. ------ 1. ==[ start ]==> ((((^a.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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 117201/11468982. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a ((a a) a))) REDUCED to normal form. ------ 117202/11469027. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(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. ------ 117203/11469036. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a a))) REDUCED to normal form. ------ 117204/11469054. ------ 1. ==[ start ]==> ((a (^b.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 117205/11469072. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)(^z.z))) REDUCED to normal form. ------ 117206/11469099. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 117207/11469126. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 117208/11469153. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a (a a))(a a))(^y.(y y))) 8. ==[ alpha ]==> (((a (a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 117209/11469180. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (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. ------ 117210/11469234. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.b))) REDUCED to normal form. ------ 117211/11469261. ------ 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.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)(^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)(^x.(a a)))) REDUCED to normal form. ------ 117212/11469288. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a)) a)) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a) a)) REDUCED to normal form. ------ 117213/11469378. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117214/11469405. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(z1 z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117215/11469657. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.z))((a a) a))) REDUCED to normal form. ------ 117216/11469684. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a a)(a b))) 3. ==[ beta ]==> ((b a)((a a)(a b))) REDUCED to normal form. ------ 117217/11469702. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a (^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 117218/11469729. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a a))) 5. ==[ beta ]==> ((^y.b)(a a)) 6. ==[ alpha ]==> ((^x.b)(a a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117219/11469783. ------ 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.y1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 117220/11469864. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117221/11469972. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117222/11470098. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b) a)) 3. ==[ beta ]==> ((a (b a))((^y.b) a)) 4. ==[ alpha ]==> ((a (b a))((^x.b) a)) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 117223/11470152. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z)) c)) 7. ==[ beta ]==> ((a a)((^y.(^z.z)) c)) 8. ==[ alpha ]==> ((a a)((^x.(^y.y)) c)) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 117224/11470314. ------ 1. ==[ start ]==> (((a (^a.(^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))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 117225/11470341. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))(^y.a))) 3. ==[ beta ]==> ((b (a a))((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b (a a))((a (a a))(^x.a))) REDUCED to normal form. ------ 117226/11470368. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.(x x)))) REDUCED to normal form. ------ 117227/11470404. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117228/11470539. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117229/11470683. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> ((b b)(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((b b)(a ((^y.y) a))) 6. ==[ alpha ]==> ((b b)(a ((^x.x) a))) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 117230/11470710. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 117231/11470728. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 117232/11470755. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(a (^x1.a))) 3. ==[ beta ]==> ((^y.y)(a (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 117233/11470809. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (((b a)(b a))((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 117234/11470890. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117235/11470998. ------ 1. ==[ start ]==> (((^a.(^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 x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117236/11471007. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (a (a a)))) REDUCED to normal form. ------ 117237/11471034. ------ 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)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 117238/11471061. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 117239/11471097. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a) c)) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 117240/11471178. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (a a))(^x.x))) REDUCED to normal form. ------ 117241/11471205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 117242/11471232. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 117243/11471259. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((a a)(^x.(x x)))) REDUCED to normal form. ------ 117244/11471286. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a)) a)) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 117245/11471313. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a b)) REDUCED to normal form. ------ 117246/11471394. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y)) a)) 5. ==[ beta ]==> ((b (a (^x.x)))(a a)) REDUCED to normal form. ------ 117247/11471421. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 117248/11471448. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 117249/11471538. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(a (^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(a (^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117250/11471619. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a 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. ------ 117251/11471727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117252/11471763. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(b b)) 3. ==[ beta ]==> ((b c)(b b)) REDUCED to normal form. ------ 117253/11471790. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a c)) REDUCED to normal form. ------ 117254/11471835. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117255/11471862. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a 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. ------ 117256/11471898. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b a)) 3. ==[ beta ]==> ((a (^y.y))(b a)) 4. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 117257/11471916. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 117258/11471925. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a b)) REDUCED to normal form. ------ 117259/11474268. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.x1))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117260/11480379. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117261/11480445. ------ 1. ==[ start ]==> (((a a) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(x (^y.y)))) REDUCED to normal form. ------ 117262/11480832. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 117263/11480883. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((((^y.y) b)(a (^z.z)))((((^y.y) b)(a (^z.z)))(((^y.y) b)(a (^z.z))))) 4. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((((^z.z) b)(a (^x1.x1)))(((^y1.y1) b)(a (^z1.z1))))) 5. ==[ beta ]==> ((b (a (^y.y)))((((^z.z) b)(a (^x1.x1)))(((^y1.y1) b)(a (^z1.z1))))) 6. ==[ alpha ]==> ((b (a (^x.x)))((((^y.y) b)(a (^z.z)))(((^x1.x1) b)(a (^y1.y1))))) 7. ==[ beta ]==> ((b (a (^x.x)))((b (a (^z.z)))(((^x1.x1) b)(a (^y1.y1))))) 8. ==[ alpha ]==> ((b (a (^x.x)))((b (a (^y.y)))(((^z.z) b)(a (^x1.x1))))) 9. ==[ beta ]==> ((b (a (^x.x)))((b (a (^y.y)))(b (a (^x1.x1))))) 10. ==[ alpha ]==> ((b (a (^x.x)))((b (a (^y.y)))(b (a (^z.z))))) REDUCED to normal form. ------ 117264/11481903. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.(a a)))) REDUCED to normal form. ------ 117265/11482179. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((((^y.y) a)(b a)) b) 4. ==[ alpha ]==> ((((^x.x) a)(b a)) b) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 117266/11482566. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)(^z.z))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 117267/11482569. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 117268/11483820. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117269/11484378. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 117270/11486304. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 117271/11486493. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.(^z.z))) a) 4. ==[ beta ]==> (((a a)(^y.(^z.z))) a) 5. ==[ alpha ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 117272/11486691. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(y b))) 3. ==[ beta ]==> ((a (b a))(^y.(y b))) 4. ==[ alpha ]==> ((a (b a))(^x.(x b))) REDUCED to normal form. ------ 117273/11487357. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.z))) REDUCED to normal form. ------ 117274/11487483. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117275/11487492. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 117276/11487627. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.(^b.(^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. ------ 117277/11487987. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(z (z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 117278/11488038. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117279/11488320. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.c)) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.c)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117280/11488383. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 117281/11488428. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.b)) 3. ==[ beta ]==> ((b (^y.y))(^z.b)) 4. ==[ alpha ]==> ((b (^x.x))(^y.b)) REDUCED to normal form. ------ 117282/11488491. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117283/11488518. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(a a))) REDUCED to normal form. ------ 117284/11488638. ------ 1. ==[ start ]==> (((a a) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a) a)(^y.y)) 4. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 117285/11488656. ------ 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. ------ 117286/11488665. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 117287/11488683. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 117288/11488692. ------ 1. ==[ start ]==> (((^a.a) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117289/11488719. ------ 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)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117290/11488746. ------ 1. ==[ start ]==> (((a a) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.x)(b (^y.y)))) 3. ==[ beta ]==> (((a a) b)(b (^y.y))) 4. ==[ alpha ]==> (((a a) b)(b (^x.x))) REDUCED to normal form. ------ 117291/11488764. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 117292/11488791. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 117293/11488818. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 117294/11488827. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 117295/11488962. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b) b) REDUCED to normal form. ------ 117296/11489043. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((^y1.(^z1.(^x2.x2)))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 117297/11489070. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 117298/11489106. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 117299/11489133. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 117300/11489160. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 117301/11489187. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) 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. ------ 117302/11489196. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) c)) 3. ==[ beta ]==> ((^y.(y y))((^z.z) c)) 4. ==[ alpha ]==> ((^x.(x x))((^y.y) c)) 5. ==[ beta ]==> (((^y.y) c)((^y.y) c)) 6. ==[ alpha ]==> (((^x.x) c)((^y.y) c)) 7. ==[ beta ]==> (c ((^y.y) c)) 8. ==[ alpha ]==> (c ((^x.x) c)) 9. ==[ beta ]==> (c c) REDUCED to normal form. ------ 117303/11489430. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a (a a)))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 117304/11489457. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^y.y)) b)) REDUCED to normal form. ------ 117305/11489484. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 117306/11489547. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 117307/11489574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 117308/11489628. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117309/11489637. ------ 1. ==[ start ]==> (((a (a a)) b)((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) b)(^y.y)) 4. ==[ alpha ]==> (((a (a a)) b)(^x.x)) REDUCED to normal form. ------ 117310/11489664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((a a) a))) 5. ==[ beta ]==> (a ((^y.(a a))((a a) a))) 6. ==[ alpha ]==> (a ((^x.(a a))((a a) a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 117311/11489682. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.b))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 117312/11489691. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 117313/11489709. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.(a a))) 6. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 117314/11489745. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 117315/11489772. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((b a)(b a))) REDUCED to normal form. ------ 117316/11489799. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 117317/11490096. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117318/11490177. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 117319/11490321. ------ 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. ------ 117320/11490348. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 117321/11490375. ------ 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. ------ 117322/11490402. ------ 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. ------ 117323/11490429. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z)(a a)))) 9. ==[ beta ]==> ((a (^x.x))((^z.z)(a a))) 10. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 11. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 117324/11490456. ------ 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. ------ 117325/11490483. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) a)(b a))) 3. ==[ beta ]==> ((a (a b))(a (b a))) REDUCED to normal form. ------ 117326/11490573. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(^x1.x1))) IRREDUCIBLE: cycle. ------ 117327/11490654. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 117328/11490663. ------ 1. ==[ start ]==> (((a b) a)((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a b) a)(^y.y)) 4. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 117329/11490681. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 117330/11490690. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 117331/11490708. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.a))) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 117332/11490744. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 117333/11490762. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a a))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 117334/11490771. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 117335/11490798. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117336/11490825. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 117337/11490843. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 117338/11490852. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 117339/11490870. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 117340/11491041. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)(^z.a))) 3. ==[ beta ]==> (b ((^y.b)(^z.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117341/11491248. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1))) 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. ------ 117342/11491473. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 117343/11491500. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 117344/11491689. ------ 1. ==[ start ]==> (((^a.b) c)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)((a a) a))) 3. ==[ beta ]==> (b ((^y.a)((a a) a))) 4. ==[ alpha ]==> (b ((^x.a)((a a) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117345/11491932. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 117346/11491959. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 117347/11492040. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 117348/11492067. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)(^c.(^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. ------ 117349/11492121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117350/11492265. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(((a a) a)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 117351/11492292. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(^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))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 117352/11492319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a (a a))(a b))) 3. ==[ beta ]==> ((a (a b))((a (a a))(a b))) REDUCED to normal form. ------ 117353/11492346. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a (a a))) REDUCED to normal form. ------ 117354/11492373. ------ 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))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)((a (^z.z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(^z.z)))) 9. ==[ beta ]==> ((a (^y.y))((a a)(^z.z))) 10. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 117355/11492400. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a a)(b a))) REDUCED to normal form. ------ 117356/11492598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(^z.b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(^z.b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(^z.b))) 5. ==[ beta ]==> (b ((a (a a))(^z.b))) 6. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 117357/11492742. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 117358/11492850. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117359/11492877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 117360/11492931. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 117361/11493075. ------ 1. ==[ start ]==> (((a a)(b a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 117362/11493102. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^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)(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 117363/11493129. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a (a a))((a a) a))) REDUCED to normal form. ------ 117364/11493156. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a b))(a (a b))) REDUCED to normal form. ------ 117365/11493183. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 117366/11493210. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)((a a)(^y.y)))) REDUCED to normal form. ------ 117367/11493354. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117368/11493435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 117369/11493516. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 117370/11493660. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 117371/11493813. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a) d)) 3. ==[ beta ]==> (b ((^x1.a) d)) 4. ==[ alpha ]==> (b ((^x.a) d)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117372/11493930. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b (^x1.(a a)))) REDUCED to normal form. ------ 117373/11494227. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117374/11494434. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b) b)) 3. ==[ beta ]==> (b ((^z.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117375/11494551. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c (^z.a))) REDUCED to normal form. ------ 117376/11494578. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (^y.b))) 3. ==[ beta ]==> ((b a)(b (^y.b))) 4. ==[ alpha ]==> ((b a)(b (^x.b))) REDUCED to normal form. ------ 117377/11494605. ------ 1. ==[ start ]==> (((a a)(^b.b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 117378/11494623. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.y))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117379/11494632. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 117380/11494677. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.a)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.a)) REDUCED to normal form. ------ 117381/11494713. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117382/11494740. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 117383/11494758. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.a))) REDUCED to normal form. ------ 117384/11494767. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 117385/11494794. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 117386/11494821. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 117387/11494875. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.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. ------ 117388/11494902. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.(z z)))) 5. ==[ beta ]==> ((b (^x.x))((^z.(z z))(^z.(z z)))) 6. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 117389/11494938. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a) b)(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a) b)(c (^y.y))) 6. ==[ alpha ]==> (((a a) b)(c (^x.x))) REDUCED to normal form. ------ 117390/11494965. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(b ((a a) a))) REDUCED to normal form. ------ 117391/11494992. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(a (a b))) 3. ==[ beta ]==> ((a (b a))(a (a b))) REDUCED to normal form. ------ 117392/11495019. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((a a) a)(a a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 117393/11495046. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(a (^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 10. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 11. ==[ beta ]==> ((a a)(a (^y.y))) 12. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 117394/11495073. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)(a b))((a (a a)) a)) REDUCED to normal form. ------ 117395/11495100. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> (((a b)((a a) a))(a (a (a a)))) REDUCED to normal form. ------ 117396/11495127. ------ 1. ==[ start ]==> ((((^a.a)(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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^y.y))(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 117397/11495154. ------ 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. ------ 117398/11495298. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117399/11495541. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117400/11495658. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a (^z.a))) REDUCED to normal form. ------ 117401/11495685. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 117402/11495703. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 117403/11495766. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117404/11495784. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 117405/11495793. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 117406/11495847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 117407/11495901. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(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. ------ 117408/11495928. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)(^b.(^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. ------ 117409/11495991. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (a (^x.x)))) REDUCED to normal form. ------ 117410/11496018. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (^y.y)) a)) REDUCED to normal form. ------ 117411/11496045. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a (a a)))) REDUCED to normal form. ------ 117412/11496261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(b a)) REDUCED to normal form. ------ 117413/11496288. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 117414/11496315. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (a a))) REDUCED to normal form. ------ 117415/11496342. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 117416/11496432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117417/11496513. ------ 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 (^z.z)) b)) 4. ==[ alpha ]==> (b ((a (^x.x)) b)) REDUCED to normal form. ------ 117418/11496657. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(a a))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(a a))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 117419/11496684. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.x))) REDUCED to normal form. ------ 117420/11496729. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a) b)) 3. ==[ beta ]==> ((b (^y.y))((a a) b)) 4. ==[ alpha ]==> ((b (^x.x))((a a) b)) REDUCED to normal form. ------ 117421/11496756. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) a)) 5. ==[ beta ]==> ((^y.(^z.z)) a) 6. ==[ alpha ]==> ((^x.(^y.y)) a) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117422/11496792. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 117423/11496810. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.y1))) REDUCED to normal form. ------ 117424/11496819. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 117425/11496890. ------ 1. ==[ start ]==> (^a.((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (^x.((^y.b)((^z.z)(x x)))) 3. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 117426/11496891. ------ 1. ==[ start ]==> (a ((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (a ((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (a b) REDUCED to normal form. ------ 117427/11502249. ------ 1. ==[ start ]==> ((^a.(^b.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117428/11505195. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a))) a) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a))) a) 3. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117429/11505201. ------ 1. ==[ start ]==> ((^a.a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117430/11505255. ------ 1. ==[ start ]==> ((^a.b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 117431/11505336. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^z.(^x1.x1))((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117432/11505357. ------ 1. ==[ start ]==> (((a a) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117433/11506020. ------ 1. ==[ start ]==> ((^a.(^b.(^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. ------ 117434/11506473. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 117435/11506833. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((y y)(y y)))) 7. ==[ beta ]==> ((a a)(^y.((y y)(y y)))) 8. ==[ alpha ]==> ((a a)(^x.((x x)(x x)))) REDUCED to normal form. ------ 117436/11506911. ------ 1. ==[ start ]==> ((^a.(^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.b))((b a)((^z.z) a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 117437/11507499. ------ 1. ==[ start ]==> (((a a)(a b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 117438/11508147. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.(^b.b))) 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. ------ 117439/11508360. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^z.(z z))((^x1.x1)(a a)))((^z.(z z))((^x1.x1)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))(^y1.y1)) 5. ==[ beta ]==> (((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))(^y1.y1)) 6. ==[ alpha ]==> (((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))(^y1.y1)) 7. ==[ beta ]==> ((((a a)((^y.y)(a a)))((^z.(z z))((^x1.x1)(a a))))(^y1.y1)) 8. ==[ alpha ]==> ((((a a)((^x.x)(a a)))((^y.(y y))((^z.z)(a a))))(^x1.x1)) 9. ==[ beta ]==> ((((a a)(a a))((^y.(y y))((^z.z)(a a))))(^x1.x1)) 10. ==[ alpha ]==> ((((a a)(a a))((^x.(x x))((^y.y)(a a))))(^z.z)) 11. ==[ beta ]==> ((((a a)(a a))(((^y.y)(a a))((^y.y)(a a))))(^z.z)) 12. ==[ alpha ]==> ((((a a)(a a))(((^x.x)(a a))((^y.y)(a a))))(^z.z)) 13. ==[ beta ]==> ((((a a)(a a))((a a)((^y.y)(a a))))(^z.z)) 14. ==[ alpha ]==> ((((a a)(a a))((a a)((^x.x)(a a))))(^y.y)) 15. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))(^y.y)) 16. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 117440/11509038. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 117441/11509116. ------ 1. ==[ start ]==> ((^a.(b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(a a))((^z.z) a))) 3. ==[ eta ]==> (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. ------ 117442/11509665. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((a b)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 117443/11510343. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((y y)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((y y)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 117444/11510556. ------ 1. ==[ start ]==> ((^a.(^b.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117445/11510559. ------ 1. ==[ start ]==> ((a (^b.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 117446/11510793. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^y.(a a))) REDUCED to normal form. ------ 117447/11510871. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117448/11511207. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^c.(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(a b))) 3. ==[ beta ]==> (((^y.y) b)(^z.(a b))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(a b))) 5. ==[ beta ]==> (b (^y.(a b))) 6. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 117449/11511405. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.b))) REDUCED to normal form. ------ 117450/11511603. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.y))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.y))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.x))) REDUCED to normal form. ------ 117451/11511870. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((((^y.(y y))((^z.z) a))((^y.(y y))((^z.z) a)))(((^y.(y y))((^z.z) a))((^y.(y y))((^z.z) a)))) 4. ==[ alpha ]==> ((((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a)))(((^y1.(y1 y1))((^z1.z1) a))((^x2.(x2 x2))((^y2.y2) a)))) 5. ==[ beta ]==> (((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))(((^y1.(y1 y1))((^z1.z1) a))((^x2.(x2 x2))((^y2.y2) a)))) 6. ==[ alpha ]==> (((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))(((^y1.(y1 y1))((^z1.z1) a))((^x2.(x2 x2))((^y2.y2) a)))) 7. ==[ beta ]==> (((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))(((^y1.(y1 y1))((^z1.z1) a))((^x2.(x2 x2))((^y2.y2) a)))) 8. ==[ alpha ]==> (((a ((^x.x) a))((^y.(y y))((^z.z) a)))(((^x1.(x1 x1))((^y1.y1) a))((^z1.(z1 z1))((^x2.x2) a)))) 9. ==[ beta ]==> (((a a)((^y.(y y))((^z.z) a)))(((^x1.(x1 x1))((^y1.y1) a))((^z1.(z1 z1))((^x2.x2) a)))) 10. ==[ alpha ]==> (((a a)((^x.(x x))((^y.y) a)))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 11. ==[ beta ]==> (((a a)(((^y.y) a)((^y.y) a)))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 12. ==[ alpha ]==> (((a a)(((^x.x) a)((^y.y) a)))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 13. ==[ beta ]==> (((a a)(a ((^y.y) a)))(((^z.(z z))((^x1.x1) a))((^y1.(y1 y1))((^z1.z1) a)))) 14. ==[ alpha ]==> (((a a)(a ((^x.x) a)))(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 15. ==[ beta ]==> (((a a)(a a))(((^y.(y y))((^z.z) a))((^x1.(x1 x1))((^y1.y1) a)))) 16. ==[ alpha ]==> (((a a)(a a))(((^x.(x x))((^y.y) a))((^z.(z z))((^x1.x1) a)))) 17. ==[ beta ]==> (((a a)(a a))((((^y.y) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))) 18. ==[ alpha ]==> (((a a)(a a))((((^x.x) a)((^y.y) a))((^z.(z z))((^x1.x1) a)))) 19. ==[ beta ]==> (((a a)(a a))((a ((^y.y) a))((^z.(z z))((^x1.x1) a)))) 20. ==[ alpha ]==> (((a a)(a a))((a ((^x.x) a))((^y.(y y))((^z.z) a)))) 21. ==[ beta ]==> (((a a)(a a))((a a)((^y.(y y))((^z.z) a)))) 22. ==[ alpha ]==> (((a a)(a a))((a a)((^x.(x x))((^y.y) a)))) 23. ==[ beta ]==> (((a a)(a a))((a a)(((^y.y) a)((^y.y) a)))) 24. ==[ alpha ]==> (((a a)(a a))((a a)(((^x.x) a)((^y.y) a)))) 25. ==[ beta ]==> (((a a)(a a))((a a)(a ((^y.y) a)))) 26. ==[ alpha ]==> (((a a)(a a))((a a)(a ((^x.x) a)))) 27. ==[ beta ]==> (((a a)(a a))((a a)(a a))) REDUCED to normal form. ------ 117452/11512260. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (^x.((^y.y)(^z.z))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117453/11512404. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117454/11512683. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117455/11512791. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.(a (a a)))) REDUCED to normal form. ------ 117456/11512899. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 117457/11512950. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117458/11513295. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117459/11513367. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 117460/11513403. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 117461/11513502. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117462/11513514. ------ 1. ==[ start ]==> ((a a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 117463/11513568. ------ 1. ==[ start ]==> ((a b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117464/11513586. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 117465/11513613. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 117466/11513622. ------ 1. ==[ start ]==> (((a a)(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 117467/11513649. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 117468/11513694. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) a)((b (^y.y)) a)) REDUCED to normal form. ------ 117469/11513721. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 117470/11513748. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b c)) REDUCED to normal form. ------ 117471/11513784. ------ 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 y1)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 117472/11514117. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((((^y.y) b)(a (^z.z)))(((^y.y) b)(a (^z.z)))) 6. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 7. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 8. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) b)(a (^z.z)))) 9. ==[ beta ]==> ((b (a (^x.x)))(b (a (^z.z)))) 10. ==[ alpha ]==> ((b (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 117473/11514144. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 117474/11514198. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 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)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 117475/11514225. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((a (a a))((a a)((a a) a))) REDUCED to normal form. ------ 117476/11514252. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 117477/11514306. ------ 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))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 117478/11514333. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 117479/11514405. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.(a a)))) REDUCED to normal form. ------ 117480/11514558. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 117481/11514612. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 117482/11514639. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 117483/11514666. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 117484/11514720. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y) a)(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x) a)(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> (a (^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> (a (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117485/11514756. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 117486/11514783. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 117487/11514837. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b)(^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. ------ 117488/11514864. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 117489/11515143. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(a ((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(a ((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(a ((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(a ((a a)(a a)))) 7. ==[ beta ]==> ((a a)(a ((a a)(a a)))) REDUCED to normal form. ------ 117490/11515152. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 117491/11515179. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117492/11515224. ------ 1. ==[ start ]==> ((a (^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.b))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.b))((b a) a)) REDUCED to normal form. ------ 117493/11515413. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(b a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) a)(b a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) a)(b a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117494/11515557. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)(^x.a))) REDUCED to normal form. ------ 117495/11515584. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 117496/11515611. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 117497/11515665. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 117498/11515692. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))(^z.(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))(^y.(a a))) REDUCED to normal form. ------ 117499/11515719. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a (a a))(^c.(^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. ------ 117500/11515773. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 117501/11515809. ------ 1. ==[ start ]==> (((a a)(a b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a a)(a b))((^y.y) b)) 4. ==[ alpha ]==> (((a a)(a b))((^x.x) b)) 5. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 117502/11515836. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 117503/11515863. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117504/11515944. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 117505/11515971. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 117506/11516088. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(c (b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(c (b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(c (b a))) 5. ==[ beta ]==> ((^y.y)(c (b a))) 6. ==[ alpha ]==> ((^x.x)(c (b a))) 7. ==[ beta ]==> (c (b a)) REDUCED to normal form. ------ 117507/11516169. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 117508/11516178. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z))) b)) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 117509/11516223. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a a)(((a a)(^x.x)) a)) REDUCED to normal form. ------ 117510/11516232. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117511/11516250. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 7. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 117512/11516304. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a) a)((a a) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((a a) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((a a) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((a a) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((a a) a))) 9. ==[ beta ]==> ((^y.y)(((a a) a)((a a) a))) 10. ==[ alpha ]==> ((^x.x)(((a a) a)((a a) a))) 11. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 117513/11516385. ------ 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 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. ------ 117514/11516457. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a (^y.y))) 3. ==[ beta ]==> (((a a)(a a))(a (^y.y))) 4. ==[ alpha ]==> (((a a)(a a))(a (^x.x))) REDUCED to normal form. ------ 117515/11516484. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 117516/11516565. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(a (a a)))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 117517/11516592. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a) a) b) REDUCED to normal form. ------ 117518/11516610. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)(^y.a))) 3. ==[ beta ]==> (b (((a a) a)(^y.a))) 4. ==[ alpha ]==> (b (((a a) a)(^x.a))) REDUCED to normal form. ------ 117519/11516619. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a b)(a (^x.x))) a) REDUCED to normal form. ------ 117520/11516646. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 117521/11516673. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 117522/11516853. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a)) d)) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a)) d)) 3. ==[ beta ]==> (((a b) c)((a a) d)) REDUCED to normal form. ------ 117523/11517069. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.(^x1.x1))) 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. ------ 117524/11517087. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a)(a a))) 3. ==[ beta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 117525/11517348. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 117526/11517429. ------ 1. ==[ start ]==> ((a (b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))((^x.(a a))((^y.y) a))) 3. ==[ beta ]==> ((a (b a))(a a)) REDUCED to normal form. ------ 117527/11517663. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y)) b)) REDUCED to normal form. ------ 117528/11517870. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(b ((a a)(^y.y)))) 3. ==[ beta ]==> (b (b ((a a)(^y.y)))) 4. ==[ alpha ]==> (b (b ((a a)(^x.x)))) REDUCED to normal form. ------ 117529/11517978. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a b) a)) REDUCED to normal form. ------ 117530/11518131. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 117531/11518212. ------ 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.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 117532/11518257. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) 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. ------ 117533/11518599. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(c (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(c (a b))) 3. ==[ beta ]==> ((^y.y)(c (a b))) 4. ==[ alpha ]==> ((^x.x)(c (a b))) 5. ==[ beta ]==> (c (a b)) REDUCED to normal form. ------ 117534/11518653. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((a a)(^y.y)))) 7. ==[ beta ]==> (((a a)(a a))(a ((a a)(^y.y)))) 8. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 117535/11518662. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117536/11518689. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) b)) 5. ==[ beta ]==> ((^y.b)((^z.(a a)) b)) 6. ==[ alpha ]==> ((^x.b)((^y.(a a)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117537/11518734. ------ 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.x1) a))) 3. ==[ beta ]==> (b (((a a) a)((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x) a))) 5. ==[ beta ]==> (b (((a a) a) a)) REDUCED to normal form. ------ 117538/11518743. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a) d)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 117539/11518842. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117540/11518869. ------ 1. ==[ start ]==> ((a (^b.b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 117541/11518914. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 117542/11518941. ------ 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)(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. ------ 117543/11518995. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a b)((^y.(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117544/11519022. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(^z.z))((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)((^y.y)(^z.z)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.z))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.y))) 9. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 10. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 117545/11519049. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 117546/11519076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a (a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)(a (a a)))(^x.x)) REDUCED to normal form. ------ 117547/11519103. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^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. ------ 117548/11519148. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117549/11519157. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 117550/11519184. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 117551/11519355. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 117552/11519463. ------ 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.z1) a)((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1) a)((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117553/11519517. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a a)(a b))) 3. ==[ beta ]==> (((^y.y) b)((a a)(a b))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(a b))) 5. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 117554/11519553. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)(^y1.y1))) REDUCED to normal form. ------ 117555/11519634. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117556/11519661. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 117557/11519688. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 117558/11519715. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 117559/11519742. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b) a)) REDUCED to normal form. ------ 117560/11519859. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 117561/11519913. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((a (b a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((a (b a))(^y.b)) 6. ==[ alpha ]==> ((a (b a))(^x.b)) REDUCED to normal form. ------ 117562/11520075. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(b (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(b (^y.a))) REDUCED to normal form. ------ 117563/11520156. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 117564/11520183. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a ((^y.y) a))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(a ((^x.x) a))) 7. ==[ beta ]==> ((a ((a a)(a a)))(a a)) REDUCED to normal form. ------ 117565/11520462. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(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. ------ 117566/11520498. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y)) c)) 3. ==[ beta ]==> ((b b)((^y.(y y)) c)) 4. ==[ alpha ]==> ((b b)((^x.(x x)) c)) 5. ==[ beta ]==> ((b b)(c c)) REDUCED to normal form. ------ 117567/11520543. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 117568/11520570. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 117569/11520606. ------ 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.y1)(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 8. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 117570/11520687. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 117571/11520714. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 117572/11520768. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a)) b)) REDUCED to normal form. ------ 117573/11520876. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^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. ------ 117574/11520939. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c (^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c (^y.a))) REDUCED to normal form. ------ 117575/11520966. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(z z)))) REDUCED to normal form. ------ 117576/11520993. ------ 1. ==[ start ]==> (((a (a a))(b a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 117577/11521020. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(a a))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 117578/11521047. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 117579/11521074. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 117580/11521101. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(a (a a)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (a a))) REDUCED to normal form. ------ 117581/11521128. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 117582/11521182. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 117583/11521209. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.(z z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.(z z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 117584/11521263. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.(^z.z)))) REDUCED to normal form. ------ 117585/11521434. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (a a))) 3. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 117586/11521542. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117587/11521578. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((b c)((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 117588/11521605. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 117589/11521650. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (a a))) 3. ==[ beta ]==> ((b (^y.y))(b (a a))) 4. ==[ alpha ]==> ((b (^x.x))(b (a a))) REDUCED to normal form. ------ 117590/11521677. ------ 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 (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(a (a (^y.y)))) 5. ==[ beta ]==> (a (a (^y.y))) 6. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 117591/11521713. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 117592/11521731. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b a)) REDUCED to normal form. ------ 117593/11521740. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 117594/11521812. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a a)) 3. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117595/11521820. ------ 1. ==[ start ]==> (^a.((a b)(^b.(a a)))) 2. ==[ alpha ]==> (^x.((x b)(^y.(x x)))) REDUCED to normal form. ------ 117596/11521821. ------ 1. ==[ start ]==> (a ((a b)(^b.(a a)))) 2. ==[ alpha ]==> (a ((a b)(^x.(a a)))) REDUCED to normal form. ------ 117597/11530125. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a))) b) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a))) b) 3. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117598/11530134. ------ 1. ==[ start ]==> (((a b)(^b.(a a))) a) 2. ==[ alpha ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 117599/11530140. ------ 1. ==[ start ]==> ((^a.a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(a a))) 4. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 117600/11530149. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117601/11530230. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117602/11530314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 117603/11530392. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.((^z.z)(^x1.a))) 4. ==[ alpha ]==> (^x.((^y.y)(^z.a))) 5. ==[ beta ]==> (^x.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 117604/11530635. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 117605/11531052. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.((a a)(a a)))) 3. ==[ beta ]==> ((b b)(^y.((a a)(a a)))) 4. ==[ alpha ]==> ((b b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 117606/11531085. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117607/11531772. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.(^z.(a a)))) 8. ==[ alpha ]==> ((a a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 117608/11531781. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.((y y)(y y)))) REDUCED to normal form. ------ 117609/11532417. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a (^y1.(^z1.z1))))((^z.(^x1.x1))(a (^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (^x.((^z.z)((^z1.(^x2.x2))(a (^y2.(^z2.z2)))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a (^y1.(^z1.z1)))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117610/11532438. ------ 1. ==[ start ]==> (((a a)(a b))(^c.(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 117611/11533299. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((((a (a a))(^z.(a a)))((a (a a))(^z.(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))(^x.(a a)))((a (a a))(^y.(a a))))(^z.z)) REDUCED to normal form. ------ 117612/11533698. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 117613/11534055. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))(^z.a))) 3. ==[ eta ]==> (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. ------ 117614/11534535. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.a)) b) 4. ==[ beta ]==> (((a a)(^y.a)) b) 5. ==[ alpha ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 117615/11534892. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x1.(x1 x1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 117616/11535282. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 117617/11535291. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 117618/11535495. ------ 1. ==[ start ]==> ((^a.(^b.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117619/11535810. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a) c)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117620/11536155. ------ 1. ==[ start ]==> (((a a)(^b.b))(^c.(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(a b))) REDUCED to normal form. ------ 117621/11536173. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(y y)))) 5. ==[ beta ]==> (^y.(^z.(y y))) 6. ==[ alpha ]==> (^x.(^y.(x x))) REDUCED to normal form. ------ 117622/11536809. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))(^y.a))) 3. ==[ beta ]==> ((((a (a a))(^y.a))((a (a a))(^y.a)))(((a (a a))(^y.a))((a (a a))(^y.a)))) 4. ==[ alpha ]==> ((((a (a a))(^x.a))((a (a a))(^y.a)))(((a (a a))(^z.a))((a (a a))(^x1.a)))) REDUCED to normal form. ------ 117623/11537208. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^z.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 117624/11537505. ------ 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))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117625/11537838. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.d)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.d)) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.d)) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.d)) REDUCED to normal form. ------ 117626/11537889. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117627/11538306. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 117628/11538342. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 117629/11538360. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 117630/11538441. ------ 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 (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 117631/11538450. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117632/11538462. ------ 1. ==[ start ]==> ((a a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 117633/11538471. ------ 1. ==[ start ]==> ((a (^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 117634/11538525. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 117635/11538552. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 117636/11538570. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) a)(^b.b))) 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. ------ 117637/11538606. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117638/11538633. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b (^y1.y1)))) 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. ------ 117639/11538714. ------ 1. ==[ start ]==> ((a (^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.a))(^z.a)) 4. ==[ alpha ]==> ((a (^x.a))(^y.a)) REDUCED to normal form. ------ 117640/11538795. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 117641/11538822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117642/11538957. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 117643/11539047. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) a)(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 117644/11539128. ------ 1. ==[ start ]==> ((((^a.a) a) b)((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((b a)(a (a a)))) 3. ==[ beta ]==> ((a b)((b a)(a (a a)))) REDUCED to normal form. ------ 117645/11539155. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 117646/11539182. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a a)((a a) a))) REDUCED to normal form. ------ 117647/11539209. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a b)(a b))) REDUCED to normal form. ------ 117648/11539236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 117649/11539263. ------ 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))(^x.x))((^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. ------ 117650/11539371. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a a)((a a)(a a)))) 3. ==[ beta ]==> ((b b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 117651/11539407. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 117652/11539416. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117653/11539443. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 117654/11539551. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((^y.(a a))((a a) a)) 8. ==[ alpha ]==> ((^x.(a a))((a a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117655/11539578. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^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. ------ 117656/11539632. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 117657/11539704. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 117658/11539758. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 117659/11539785. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b b)) REDUCED to normal form. ------ 117660/11539875. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117661/11539929. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(^x1.b))) 5. ==[ beta ]==> (a ((^z.b)(^x1.b))) 6. ==[ alpha ]==> (a ((^x.b)(^y.b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 117662/11540037. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.(^x2.(^y2.y2))))) 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. ------ 117663/11540046. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(c (a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 117664/11540073. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(b ((^z.z) b))) 3. ==[ beta ]==> ((a (^y.(y y)))(b ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 117665/11540100. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(a ((a a)(a a)))) REDUCED to normal form. ------ 117666/11540127. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117667/11540154. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 117668/11540343. ------ 1. ==[ start ]==> (((^a.b) a)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 117669/11540550. ------ 1. ==[ start ]==> (((^a.a)(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 117670/11540577. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117671/11540712. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117672/11540739. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 117673/11540757. ------ 1. ==[ start ]==> (((a a)(a b))((a a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a b))((a a)(^x.x))) REDUCED to normal form. ------ 117674/11540784. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y) b) a)) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(b a)) REDUCED to normal form. ------ 117675/11540811. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 117676/11540838. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a) c)) REDUCED to normal form. ------ 117677/11540955. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(^z.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117678/11540982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117679/11541126. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 117680/11541153. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a a) a)((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a) a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 117681/11541180. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 117682/11541207. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((a a)(a (a a)))) REDUCED to normal form. ------ 117683/11541261. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 117684/11541288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((^x1.x1)(^y1.y1))(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(^y1.y1))(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(^x1.x1))(a b))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(^x1.x1))(a b))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(^z.z))(a b))) 7. ==[ beta ]==> ((((^y.y)(^z.z))(a b))(((^y.y)(^z.z))(a b))) 8. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b))) 9. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a b))) 10. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a b))) 11. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a b))) 12. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a b))) 13. ==[ beta ]==> ((a b)((^y.y)(a b))) 14. ==[ alpha ]==> ((a b)((^x.x)(a b))) 15. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 117685/11541315. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a (a a))(a a))) REDUCED to normal form. ------ 117686/11541342. ------ 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 a)(^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. ------ 117687/11541369. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 117688/11541432. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 117689/11541459. ------ 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. ------ 117690/11541486. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 117691/11541513. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(^y.(y y)))) 7. ==[ beta ]==> ((a (a a))((a a)(^y.(y y)))) 8. ==[ alpha ]==> ((a (a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 117692/11541540. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 117693/11541567. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)(^y.a))) REDUCED to normal form. ------ 117694/11541594. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a)(a a))(^y.b)) 8. ==[ alpha ]==> (((a a)(a a))(^x.b)) REDUCED to normal form. ------ 117695/11541621. ------ 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. ------ 117696/11541657. ------ 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 a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117697/11541792. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117698/11541900. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117699/11541954. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 117700/11541990. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b (b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b (b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (b a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117701/11542017. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 117702/11542044. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((b a)(a a))) REDUCED to normal form. ------ 117703/11542071. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 117704/11542098. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z)(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 117705/11542323. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.y))) REDUCED to normal form. ------ 117706/11542350. ------ 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.(^x1.x1)))) REDUCED to normal form. ------ 117707/11542377. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(a a))(^y.a))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.a))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.a))) REDUCED to normal form. ------ 117708/11542467. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117709/11542548. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117710/11542656. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((b a)((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 117711/11542683. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((^y.b)(^z.(z z))) 6. ==[ alpha ]==> ((^x.b)(^y.(y y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117712/11542737. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 117713/11542800. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(c ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(c (a a))) REDUCED to normal form. ------ 117714/11542818. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))(^c.(^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. ------ 117715/11542827. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 117716/11542854. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(a (b a))) 3. ==[ beta ]==> (((a a)(^y.a))(a (b a))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (b a))) REDUCED to normal form. ------ 117717/11542881. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(a a))) REDUCED to normal form. ------ 117718/11543133. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a) a)(((a a)(^y.y))(^z.z))) 6. ==[ alpha ]==> (((a a) a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 117719/11543160. ------ 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)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 117720/11543214. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 117721/11543304. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a b))) 5. ==[ beta ]==> ((a a)((^z.a)(a b))) 6. ==[ alpha ]==> ((a a)((^x.a)(a b))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 117722/11543385. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117723/11543493. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117724/11543547. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117725/11543610. ------ 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. ------ 117726/11543637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a))(a a))) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 117727/11543691. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a) a) a)) REDUCED to normal form. ------ 117728/11543718. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.(x x)))(a (a a))) REDUCED to normal form. ------ 117729/11543745. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a (a a))(^z.z))) REDUCED to normal form. ------ 117730/11543799. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (^x1.x1))(a b))) REDUCED to normal form. ------ 117731/11543817. ------ 1. ==[ start ]==> ((a (^b.b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 117732/11543862. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a a)(^y.y))) REDUCED to normal form. ------ 117733/11543889. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 117734/11543916. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 117735/11543943. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 8. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 9. ==[ beta ]==> ((a b)(^y.(y y))) 10. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 117736/11543970. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 117737/11543997. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.x))(a (^z.a))) 6. ==[ alpha ]==> (((a b)(^x.x))(a (^y.a))) REDUCED to normal form. ------ 117738/11544024. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(^z.b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(^z.b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(^y.b))) REDUCED to normal form. ------ 117739/11544051. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(a a)))) REDUCED to normal form. ------ 117740/11544105. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b) b)) REDUCED to normal form. ------ 117741/11544132. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a) c)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a) c)) 3. ==[ beta ]==> ((a b)(((a a) a) c)) REDUCED to normal form. ------ 117742/11544141. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117743/11544168. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117744/11544420. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a (^z.z))) REDUCED to normal form. ------ 117745/11544447. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a (^y.y))((a a) a))) 3. ==[ beta ]==> ((b a)((a (^y.y))((a a) a))) 4. ==[ alpha ]==> ((b a)((a (^x.x))((a a) a))) REDUCED to normal form. ------ 117746/11544465. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (^z.b))) 3. ==[ beta ]==> (((^y.y) b)(b (^z.b))) 4. ==[ alpha ]==> (((^x.x) b)(b (^y.b))) 5. ==[ beta ]==> (b (b (^y.b))) 6. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 117747/11544474. ------ 1. ==[ start ]==> (((a a)(^b.b))((a a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(a b))) REDUCED to normal form. ------ 117748/11544492. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(a a)))) 5. ==[ beta ]==> (a (^y.(a a))) 6. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 117749/11544627. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117750/11544888. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b) a)) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 117751/11544942. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 117752/11545077. ------ 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)(^x1.x1))) REDUCED to normal form. ------ 117753/11545104. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((b (a a))(^x.(^y.y))) REDUCED to normal form. ------ 117754/11545131. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))(^x.a))) REDUCED to normal form. ------ 117755/11545167. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117756/11545302. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117757/11545446. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(a (^y.y)))) 3. ==[ beta ]==> ((b b)((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> ((b b)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 117758/11545473. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) 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. ------ 117759/11545518. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 117760/11545527. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.z))) REDUCED to normal form. ------ 117761/11545572. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y))(a a))) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 117762/11545635. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c d)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c d)) REDUCED to normal form. ------ 117763/11545653. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117764/11545761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^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. ------ 117765/11545770. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(c a)) REDUCED to normal form. ------ 117766/11545797. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (a (a a)))) REDUCED to normal form. ------ 117767/11545824. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a ((^y.y)(^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. ------ 117768/11545860. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x)) b)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(b b)) REDUCED to normal form. ------ 117769/11545887. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a) c)) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 117770/11545968. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.z))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 117771/11545995. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 117772/11546022. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 117773/11546049. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a a)(^y.(y y)))) 3. ==[ beta ]==> (((a a)((a a) a))((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a a)((a a) a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 117774/11546076. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (a a)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a)) a)) REDUCED to normal form. ------ 117775/11546184. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x)) a)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a a)) REDUCED to normal form. ------ 117776/11546211. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a) b)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 117777/11546301. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117778/11546382. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117779/11546490. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(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. ------ 117780/11546526. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(c a)) 3. ==[ beta ]==> ((b c)(c a)) REDUCED to normal form. ------ 117781/11546553. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b b)) REDUCED to normal form. ------ 117782/11546598. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^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))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 117783/11546625. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117784/11546661. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 117785/11546679. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 117786/11546688. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b a)) REDUCED to normal form. ------ 117787/11546760. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (^z.z))) 3. ==[ beta ]==> (b (a (^z.z))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 117788/11546769. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 117789/11555082. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a))) c) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a))) c) 3. ==[ beta ]==> (b c) REDUCED to normal form. ------ 117790/11555091. ------ 1. ==[ start ]==> (((a b)(^b.(a a))) b) 2. ==[ alpha ]==> (((a b)(^x.(a a))) b) REDUCED to normal form. ------ 117791/11555115. ------ 1. ==[ start ]==> ((^a.(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117792/11555196. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117793/11555289. ------ 1. ==[ start ]==> (((a (^a.a)) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(^y.(y (^z.z)))) REDUCED to normal form. ------ 117794/11555358. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z) b) c)) 3. ==[ beta ]==> (^y.(((^z.z) b) c)) 4. ==[ alpha ]==> (^x.(((^y.y) b) c)) 5. ==[ beta ]==> (^x.(b c)) REDUCED to normal form. ------ 117795/11555676. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 117796/11555700. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(x (x x)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((((a a)(a a))(a a))(((a a)(a a))(a a)))) REDUCED to normal form. ------ 117797/11556747. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.(a a)))) REDUCED to normal form. ------ 117798/11556816. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 117799/11556996. ------ 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 ]==> (((a (a a))((a a)(^y.y))) b) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 117800/11557383. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(((a (^z.z))(^x1.(^y1.(^z1.z1))))((a (^z.z))(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(^y2.(^z2.z2)))))) REDUCED to normal form. ------ 117801/11558664. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 117802/11558943. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^c.(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(b a))) 3. ==[ beta ]==> (((a b) a)(^y.(b a))) 4. ==[ alpha ]==> (((a b) a)(^x.(b a))) REDUCED to normal form. ------ 117803/11559570. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a)) c)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 117804/11559753. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 117805/11560257. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117806/11561148. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(y1 y1)))) REDUCED to normal form. ------ 117807/11561337. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(a z))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 117808/11561535. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(y b))) REDUCED to normal form. ------ 117809/11562471. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117810/11562588. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(a (a a)))) REDUCED to normal form. ------ 117811/11562831. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(x (x x)))) REDUCED to normal form. ------ 117812/11562855. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117813/11563173. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.y))) 3. ==[ beta ]==> ((b c)(^y.(^z.y))) 4. ==[ alpha ]==> ((b c)(^x.(^y.x))) REDUCED to normal form. ------ 117814/11563326. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.x1)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 117815/11563335. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 117816/11563407. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 117817/11563416. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 117818/11563446. ------ 1. ==[ start ]==> ((a (^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 117819/11563455. ------ 1. ==[ start ]==> (((^a.a) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (a ((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (a ((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 117820/11563509. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 117821/11563527. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 117822/11563536. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 117823/11563563. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117824/11563590. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 117825/11563617. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.y))) REDUCED to normal form. ------ 117826/11563635. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 117827/11563662. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 117828/11563689. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (^x.a))(b c)) REDUCED to normal form. ------ 117829/11563725. ------ 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 z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117830/11563806. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 117831/11563833. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 117832/11563860. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 117833/11563914. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117834/11563977. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 117835/11564004. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (a a))(a (b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(a (b (^x.x)))) REDUCED to normal form. ------ 117836/11564031. ------ 1. ==[ start ]==> ((a (a (a a)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 117837/11564067. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 117838/11564274. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (a a))(b a))) REDUCED to normal form. ------ 117839/11564301. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a (^x.x)) a)(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a (^x.x)) a)(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 117840/11564328. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^y.y)) b)) REDUCED to normal form. ------ 117841/11564346. ------ 1. ==[ start ]==> (((^a.(a a)) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(b (^y.(a a)))) 3. ==[ beta ]==> ((b b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((b b)(b (^x.(a a)))) REDUCED to normal form. ------ 117842/11564355. ------ 1. ==[ start ]==> (((a (a a))(a a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 117843/11564391. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117844/11564418. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 117845/11564472. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.y)((b a)(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 117846/11564535. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 117847/11564553. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((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. ------ 117848/11564562. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 117849/11564589. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 117850/11564616. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 117851/11564643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(x1 x1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(b a))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(b a))) 7. ==[ beta ]==> ((^y.(y y))(b a)) 8. ==[ alpha ]==> ((^x.(x x))(b a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 117852/11564940. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117853/11564967. ------ 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. ------ 117854/11565021. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 117855/11565048. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 117856/11565075. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(a a))) REDUCED to normal form. ------ 117857/11565147. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 117858/11565165. ------ 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. ------ 117859/11565192. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(^z.z))(a (a a)))) REDUCED to normal form. ------ 117860/11565219. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))(((^x.x)(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. ------ 117861/11565246. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a b)((a a) a))) 3. ==[ beta ]==> (((a (a a)) a)((a b)((a a) a))) REDUCED to normal form. ------ 117862/11565273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a) a)(a b))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(a b))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(a b))) REDUCED to normal form. ------ 117863/11565300. ------ 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)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^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. ------ 117864/11565327. ------ 1. ==[ start ]==> ((a (a b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 117865/11565480. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 117866/11565498. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)(^z.a))) 3. ==[ beta ]==> (b ((b a)(^z.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 117867/11565525. ------ 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. ------ 117868/11565534. ------ 1. ==[ start ]==> (((a a)(^a.b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 117869/11565552. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^z.z)(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. ------ 117870/11565588. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 117871/11565606. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(^y.b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.b))) REDUCED to normal form. ------ 117872/11565642. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 117873/11565669. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 117874/11565696. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(b a))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 117875/11565714. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 117876/11565885. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117877/11566092. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> (b ((^x1.x1) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117878/11566173. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) d)) 5. ==[ beta ]==> ((^y.(^z.z)) d) 6. ==[ alpha ]==> ((^x.(^y.y)) d) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117879/11566380. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 117880/11566533. ------ 1. ==[ start ]==> (((^a.b) c)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 117881/11566632. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(^x1.x1))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(^z.z))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 117882/11566767. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (b (((a a)(^z.z)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 117883/11566776. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 117884/11566803. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 117885/11566830. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 117886/11566884. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 117887/11566911. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.b))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 117888/11566992. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117889/11567010. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 117890/11567109. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 117891/11567136. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(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 (^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. ------ 117892/11567163. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> ((a (a b))((^y.y)((a a) a))) 6. ==[ alpha ]==> ((a (a b))((^x.x)((a a) a))) 7. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 117893/11567190. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a (a a))(a b))) REDUCED to normal form. ------ 117894/11567217. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1) a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1)(a a)))) 8. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z)(a a)))) 9. ==[ beta ]==> (((^y.y) a)((^z.z)(a a))) 10. ==[ alpha ]==> (((^x.x) a)((^y.y)(a a))) 11. ==[ beta ]==> (a ((^y.y)(a a))) 12. ==[ alpha ]==> (a ((^x.x)(a a))) 13. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 117895/11567244. ------ 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))((a a)(^y.y)))) REDUCED to normal form. ------ 117896/11567271. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a a)(b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a a)(b a))) 3. ==[ beta ]==> (((a b) a)((a a)(b a))) REDUCED to normal form. ------ 117897/11567442. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 7. ==[ beta ]==> (b ((^y.y)(^z.a))) 8. ==[ alpha ]==> (b ((^x.x)(^y.a))) 9. ==[ beta ]==> (b (^y.a)) 10. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 117898/11567523. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 117899/11567631. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a)) c)) 3. ==[ beta ]==> ((b a)(((^y.y)(a a)) c)) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a)) c)) 5. ==[ beta ]==> ((b a)((a a) c)) REDUCED to normal form. ------ 117900/11567694. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 117901/11567721. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 117902/11567775. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 117903/11567802. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 117904/11567901. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a)) c)) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 117905/11567919. ------ 1. ==[ start ]==> (((a a)(b a))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(b a))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a a)(b a))((a b) a)) REDUCED to normal form. ------ 117906/11567946. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 117907/11567973. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(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 (a a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (a a))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a (a a))((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a (a a))((^x.x)(^y.y))) 11. ==[ beta ]==> ((a (a a))(^y.y)) 12. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 117908/11568000. ------ 1. ==[ start ]==> (((a (a a))(a b))((a (a a))((a a) a))) REDUCED to normal form. ------ 117909/11568027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a b))) 7. ==[ beta ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 117910/11568054. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (^z.z))((^x1.x1)(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. ------ 117911/11568081. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 117912/11568180. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117913/11568198. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117914/11568279. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.b))) 7. ==[ beta ]==> ((a a)(a (^y.b))) 8. ==[ alpha ]==> ((a a)(a (^x.b))) REDUCED to normal form. ------ 117915/11568360. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 117916/11568477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 117917/11568585. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 117918/11568657. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b) c)) 3. ==[ beta ]==> (b ((^x1.b) c)) 4. ==[ alpha ]==> (b ((^x.b) c)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117919/11568810. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 117920/11569071. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117921/11569116. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a) c)) 3. ==[ beta ]==> ((^y.y)(((a a) a) c)) 4. ==[ alpha ]==> ((^x.x)(((a a) a) c)) 5. ==[ beta ]==> (((a a) a) c) REDUCED to normal form. ------ 117922/11569278. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a)) a)) 3. ==[ beta ]==> (b ((^z.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117923/11569422. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c (^y.a))) 3. ==[ beta ]==> ((b a)(c (^y.a))) 4. ==[ alpha ]==> ((b a)(c (^x.a))) REDUCED to normal form. ------ 117924/11569449. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (^y.b))) REDUCED to normal form. ------ 117925/11569476. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.(a a)))) REDUCED to normal form. ------ 117926/11569521. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 117927/11569557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117928/11569584. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 117929/11569602. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 117930/11569611. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 117931/11569638. ------ 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.(^y1.y1))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 117932/11569665. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a b)) REDUCED to normal form. ------ 117933/11569710. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((a a) a) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117934/11569746. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 117935/11569836. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(b ((a a) a))) 3. ==[ beta ]==> ((a (b a))(b ((a a) a))) REDUCED to normal form. ------ 117936/11569863. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (a b))) REDUCED to normal form. ------ 117937/11569890. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((a a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((a a) a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((a a) a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((a a) a)(a a))) 5. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(a a))) 6. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(a a))) 7. ==[ beta ]==> ((a a)(((a a) a)(a a))) REDUCED to normal form. ------ 117938/11569917. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a b))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.x))) REDUCED to normal form. ------ 117939/11569944. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (a a))((^x.x) a))) 3. ==[ beta ]==> (((a b)((a a) a))((a (a a)) a)) REDUCED to normal form. ------ 117940/11569971. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (a (a a)))) REDUCED to normal form. ------ 117941/11569998. ------ 1. ==[ start ]==> ((((a 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)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 117942/11570142. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.(z z)))) 5. ==[ beta ]==> (((^y.y) a)(^z.(z z))) 6. ==[ alpha ]==> (((^x.x) a)(^y.(y y))) 7. ==[ beta ]==> (a (^y.(y y))) 8. ==[ alpha ]==> (a (^x.(x x))) REDUCED to normal form. ------ 117943/11570277. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a)) c)) 3. ==[ beta ]==> (b ((a (a a)) c)) REDUCED to normal form. ------ 117944/11570385. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117945/11570502. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 117946/11570547. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(^y.y))) 7. ==[ beta ]==> (((b a)(b a))(^y.y)) 8. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 117947/11570610. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 117948/11570628. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 117949/11570637. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 117950/11570691. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 117951/11570745. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 117952/11570772. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 117953/11570799. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 117954/11570835. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(a a))) REDUCED to normal form. ------ 117955/11570862. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (a (^y.y)))) REDUCED to normal form. ------ 117956/11570889. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^z.z)) a)) REDUCED to normal form. ------ 117957/11570916. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(a (a a)))) REDUCED to normal form. ------ 117958/11570997. ------ 1. ==[ start ]==> (((a b)(a b))(c c)) REDUCED to normal form. ------ 117959/11571132. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> ((b (a (^y.y)))(b ((^z.z) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b ((^y.y) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(b a)) REDUCED to normal form. ------ 117960/11571159. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (a (a a)))) REDUCED to normal form. ------ 117961/11571186. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (a a))) REDUCED to normal form. ------ 117962/11571276. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117963/11571357. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> (b (((^z.z) a) a)) 4. ==[ alpha ]==> (b (((^x.x) a) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 117964/11571465. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117965/11571501. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.a))) 3. ==[ beta ]==> ((b c)(a (^y.a))) 4. ==[ alpha ]==> ((b c)(a (^x.a))) REDUCED to normal form. ------ 117966/11571528. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 117967/11571573. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z)) a)) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 117968/11571600. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a) b)) 3. ==[ beta ]==> ((^y.y)((a a) b)) 4. ==[ alpha ]==> ((^x.x)((a a) b)) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 117969/11571636. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.y))) REDUCED to normal form. ------ 117970/11571654. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) b) REDUCED to normal form. ------ 117971/11571663. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 117972/11571735. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 117973/11571744. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 117974/11571761. ------ 1. ==[ start ]==> (^a.((^b.(a a))(a b))) 2. ==[ alpha ]==> (^x.((^y.(x x))(x b))) 3. ==[ beta ]==> (^x.(x x)) REDUCED to normal form. ------ 117975/11571762. ------ 1. ==[ start ]==> (a ((^b.(a a))(a b))) 2. ==[ alpha ]==> (a ((^x.(a a))(a b))) 3. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 117976/11580075. ------ 1. ==[ start ]==> (((a b)(^b.(a a))) c) 2. ==[ alpha ]==> (((a b)(^x.(a a))) c) REDUCED to normal form. ------ 117977/11580099. ------ 1. ==[ start ]==> ((^a.a)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 3. ==[ beta ]==> ((^y.(a a))(a b)) 4. ==[ alpha ]==> ((^x.(a a))(a b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 117978/11580126. ------ 1. ==[ start ]==> ((^a.(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.b)((^z.z)(a a)))((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> (b ((^z.b)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b ((^x.b)((^y.y)(a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117979/11580153. ------ 1. ==[ start ]==> ((^a.b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 117980/11580234. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^z.a)((^x1.x1) b))(^y.y)) 4. ==[ alpha ]==> (((^x.a)((^y.y) b))(^z.z)) 5. ==[ beta ]==> (a (^z.z)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 117981/11580918. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117982/11581398. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a)(a a)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 117983/11581476. ------ 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)((^x2.(^y2.(^z2.z2)))(^x3.a))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.a))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.a)) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.a)) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 117984/11581809. ------ 1. ==[ start ]==> ((^a.(^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 117985/11582424. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 117986/11582583. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.b)(^x1.a))((^z.b)(^x1.a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)(^z.a))((^x1.b)(^y1.a)))) 5. ==[ beta ]==> (((^y.b)(^z.a))((^x1.b)(^y1.a))) 6. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.a))) 7. ==[ beta ]==> (b ((^z.b)(^x1.a))) 8. ==[ alpha ]==> (b ((^x.b)(^y.a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 117987/11582757. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (b (^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 117988/11583072. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 117989/11583258. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((^z.(^x1.x1))(a b))((^z.(^x1.x1))(a b)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.y))(a b))((^z.(^x1.x1))(a b)))(^y1.y1)) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1))(a b)))(^y1.y1)) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a b)))(^x1.x1)) 7. ==[ beta ]==> (((^y.(^z.z))(a b))(^x1.x1)) 8. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.z)) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117990/11583675. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 117991/11583963. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(^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. ------ 117992/11584014. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ eta ]==> (b ((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 117993/11584563. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((^y1.y1)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 117994/11584851. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((^x1.b)((^y1.y1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.x1))) 5. ==[ beta ]==> (b (^z.(^x1.x1))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 117995/11585454. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 117996/11585502. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 117997/11585769. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 117998/11585943. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 117999/11586528. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(^z.y))) REDUCED to normal form. ------ 118000/11586717. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.b))) REDUCED to normal form. ------ 118001/11586768. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1))))(((^y.(^z.z))(a (^x1.x1)))((^y.(^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> ((((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1))))(((^x2.(^y2.y2))(a (^z2.z2)))((^x3.(^y3.y3))(a (^z3.z3))))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))(a (^z1.z1))))(((^x2.(^y2.y2))(a (^z2.z2)))((^x3.(^y3.y3))(a (^z3.z3))))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))(a (^x1.x1))))(((^y1.(^z1.z1))(a (^x2.x2)))((^y2.(^z2.z2))(a (^x3.x3))))) 7. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))(((^y1.(^z1.z1))(a (^x2.x2)))((^y2.(^z2.z2))(a (^x3.x3))))) 8. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 9. ==[ beta ]==> ((^y.y)(((^x1.(^y1.y1))(a (^z1.z1)))((^x2.(^y2.y2))(a (^z2.z2))))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2))))) 11. ==[ beta ]==> (((^y.(^z.z))(a (^x1.x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 12. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))(a (^z1.z1)))) 13. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 15. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 16. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118002/11587050. ------ 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. ------ 118003/11587608. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.(^b.(^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)))) REDUCED to normal form. ------ 118004/11587716. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(a (a a)))) REDUCED to normal form. ------ 118005/11587824. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.(y y)))) REDUCED to normal form. ------ 118006/11588166. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.c)) 3. ==[ beta ]==> ((b c)(^y.c)) 4. ==[ alpha ]==> ((b c)(^x.c)) REDUCED to normal form. ------ 118007/11588238. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.c)) 3. ==[ beta ]==> ((b (^y.y))(^z.c)) 4. ==[ alpha ]==> ((b (^x.x))(^y.c)) REDUCED to normal form. ------ 118008/11588328. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 118009/11588400. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(z z))) 3. ==[ beta ]==> (b (^z.(z z))) 4. ==[ alpha ]==> (b (^x.(x x))) REDUCED to normal form. ------ 118010/11588409. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 118011/11588439. ------ 1. ==[ start ]==> ((a a)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 3. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 118012/11588457. ------ 1. ==[ start ]==> (((^a.a) a)((a b)(^b.(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. ------ 118013/11588466. ------ 1. ==[ start ]==> ((a (a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 118014/11588493. ------ 1. ==[ start ]==> ((a b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 118015/11588538. ------ 1. ==[ start ]==> (((^a.a) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x) b)((a (a a))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 118016/11588547. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 118017/11588565. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 118018/11588574. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 118019/11588592. ------ 1. ==[ start ]==> (((a a) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 118020/11588646. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 118021/11588673. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a)(a a)) b)) REDUCED to normal form. ------ 118022/11588709. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.a)) REDUCED to normal form. ------ 118023/11588736. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 118024/11588952. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 118025/11589042. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.(y y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 118026/11589069. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 118027/11589123. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((b a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((b a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (a a)))) 5. ==[ beta ]==> ((^y.y)((b a)(a (a a)))) 6. ==[ alpha ]==> ((^x.x)((b a)(a (a a)))) 7. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 118028/11589150. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 118029/11589177. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 118030/11589231. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 118031/11589258. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 118032/11589357. ------ 1. ==[ start ]==> (((a (a a))(a a))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 118033/11589483. ------ 1. ==[ start ]==> (((a (a a)) b)((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)((b a)(^x.(x x)))) REDUCED to normal form. ------ 118034/11589510. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 118035/11589537. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.a))) REDUCED to normal form. ------ 118036/11589564. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a b)(^z.b))) REDUCED to normal form. ------ 118037/11589591. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 118038/11589681. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 118039/11589708. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 118040/11589735. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 118041/11589789. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.b)(^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)))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 118042/11589816. ------ 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. ------ 118043/11590068. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(b ((^z.z) b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(b ((^z.z) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(b ((^z.z) b))) 5. ==[ beta ]==> ((a ((^y.y) a))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a ((^x.x) a))(b ((^y.y) b))) 7. ==[ beta ]==> ((a a)(b ((^y.y) b))) 8. ==[ alpha ]==> ((a a)(b ((^x.x) b))) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 118044/11590131. ------ 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. ------ 118045/11590149. ------ 1. ==[ start ]==> ((a (^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 118046/11590338. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> ((^y.b)((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.b)((a (a a))((a a)(^y.y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 118047/11590419. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z) b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a a)((^z.z) b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a a)((^z.z) b))) IRREDUCIBLE: cycle. ------ 118048/11590482. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 118049/11590509. ------ 1. ==[ start ]==> (((a b) a)((b a)(^b.a))) 2. ==[ alpha ]==> (((a b) a)((b a)(^x.a))) REDUCED to normal form. ------ 118050/11590536. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 118051/11590590. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 118052/11590617. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 118053/11590644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118054/11590734. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 118055/11590761. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z) b)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y) b)) 5. ==[ beta ]==> (((a (^x.x))((a a) a)) b) REDUCED to normal form. ------ 118056/11590788. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((a ((^x.x)(^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. ------ 118057/11590815. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 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. ------ 118058/11590896. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 118059/11590923. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 118060/11591094. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (b (a ((^x1.x1) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 118061/11591103. ------ 1. ==[ start ]==> (((a b) b)((^b.b) a)) 2. ==[ alpha ]==> (((a b) b)((^x.x) a)) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 118062/11591130. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1))) b)) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z))) b)) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 118063/11591148. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(a (^y.y)))) 5. ==[ beta ]==> ((a a)((b a)(a (^y.y)))) 6. ==[ alpha ]==> ((a a)((b a)(a (^x.x)))) REDUCED to normal form. ------ 118064/11591175. ------ 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))((^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. ------ 118065/11591184. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 118066/11591229. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a b)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a b)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)((a b)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> ((^x.x)((a b)((^y.y)(^z.z)))) 11. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 12. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 13. ==[ beta ]==> ((a b)(^y.y)) 14. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 118067/11591310. ------ 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)(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. ------ 118068/11591382. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 118069/11591409. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a (^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a (^y.y))) REDUCED to normal form. ------ 118070/11591436. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a ((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 118071/11591517. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)(a a)) REDUCED to normal form. ------ 118072/11591535. ------ 1. ==[ start ]==> (((^a.b) c)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 118073/11591544. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (^x.x))) b) REDUCED to normal form. ------ 118074/11591598. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 118075/11591778. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 118076/11592012. ------ 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 (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 118077/11592021. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 118078/11592300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (^z.(^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. ------ 118079/11592354. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 118080/11592588. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a) a)) REDUCED to normal form. ------ 118081/11592795. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (b (c ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (c ((^x.x)(a a)))) 5. ==[ beta ]==> (b (c (a a))) REDUCED to normal form. ------ 118082/11592903. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(a a))(a (^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. ------ 118083/11593083. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 118084/11593182. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118085/11593191. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 118086/11593578. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(b ((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b ((^y.y)(a a)))) 7. ==[ beta ]==> (((a a)(a a))(b ((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))(b ((^x.x)(a a)))) 9. ==[ beta ]==> (((a a)(a a))(b (a a))) REDUCED to normal form. ------ 118087/11593614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1)) a)) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118088/11593659. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(a (^x.x)))) REDUCED to normal form. ------ 118089/11593668. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 118090/11593767. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118091/11593794. ------ 1. ==[ start ]==> ((a (^b.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 118092/11593812. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b (^z.(a a)))) REDUCED to normal form. ------ 118093/11593839. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 118094/11593866. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 118095/11593893. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 118096/11593920. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 6. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 118097/11593947. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 118098/11593974. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a b)(^x.x))(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a b)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> (((a b)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.x1))) 10. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.z))) 11. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 12. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 118099/11594001. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 118100/11594028. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 118101/11594073. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118102/11594082. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 118103/11594109. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 118104/11594280. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (b (a ((^z.z)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 118105/11594388. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((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. ------ 118106/11594442. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (^z.z))((a a) a))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))((a a) a))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((a a) a))) 5. ==[ beta ]==> (b ((a (^y.y))((a a) a))) 6. ==[ alpha ]==> (b ((a (^x.x))((a a) a))) REDUCED to normal form. ------ 118107/11594469. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a a)(a b))) 3. ==[ beta ]==> ((^y.y)((a a)(a b))) 4. ==[ alpha ]==> ((^x.x)((a a)(a b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 118108/11594559. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118109/11594586. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 118110/11594613. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 118111/11594640. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 118112/11594667. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(^z.b))) REDUCED to normal form. ------ 118113/11594721. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((a a) a) b)) REDUCED to normal form. ------ 118114/11594748. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1)) c)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1)) c)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z)) c)) 5. ==[ beta ]==> ((b (^x.x))((^z.z) c)) 6. ==[ alpha ]==> ((b (^x.x))((^y.y) c)) 7. ==[ beta ]==> ((b (^x.x)) c) REDUCED to normal form. ------ 118115/11594784. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> (((a a) b)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 118116/11594811. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 118117/11594838. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 118118/11594865. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.b)) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 118119/11595054. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.b))) REDUCED to normal form. ------ 118120/11595081. ------ 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))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 118121/11595108. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^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. ------ 118122/11595387. ------ 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. ------ 118123/11595423. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b b)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b b)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 118124/11595468. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 118125/11595495. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(a (a a))) 6. ==[ alpha ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 118126/11595612. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a (^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 118127/11595630. ------ 1. ==[ start ]==> (((^a.b)(a b))(c d)) 2. ==[ alpha ]==> (((^x.b)(a b))(c d)) 3. ==[ beta ]==> (b (c d)) REDUCED to normal form. ------ 118128/11595639. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 118129/11595693. ------ 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)(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 118130/11595747. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a c)) REDUCED to normal form. ------ 118131/11595918. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(b (^x.(x x)))) REDUCED to normal form. ------ 118132/11595945. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 118133/11595972. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(a a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(a a))) 5. ==[ beta ]==> ((((a a) a)(a a))((a a)(a a))) REDUCED to normal form. ------ 118134/11595999. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 118135/11596026. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 118136/11596053. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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))(^y.y))(a (a a))) REDUCED to normal form. ------ 118137/11596107. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 118138/11596134. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 118139/11596161. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.(y y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(x x))) REDUCED to normal form. ------ 118140/11596467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(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. ------ 118141/11596503. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y) c)) 3. ==[ beta ]==> ((b c)((^y.y) c)) 4. ==[ alpha ]==> ((b c)((^x.x) c)) 5. ==[ beta ]==> ((b c) c) REDUCED to normal form. ------ 118142/11596530. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 118143/11596575. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a c)) 3. ==[ beta ]==> ((b (^y.y))(a c)) 4. ==[ alpha ]==> ((b (^x.x))(a c)) REDUCED to normal form. ------ 118144/11596602. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (a a))) 3. ==[ beta ]==> ((^y.y)(b (a a))) 4. ==[ alpha ]==> ((^x.x)(b (a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118145/11596638. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 118146/11596656. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(a a))) REDUCED to normal form. ------ 118147/11596665. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 118148/11596737. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (a a))) 3. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 118149/11596746. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 118150/11596772. ------ 1. ==[ start ]==> (^a.(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (^x.(((^y.y)(x x))(^z.b))) 3. ==[ beta ]==> (^x.((x x)(^z.b))) 4. ==[ alpha ]==> (^x.((x x)(^y.b))) REDUCED to normal form. ------ 118151/11596773. ------ 1. ==[ start ]==> (a (((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (a (((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (a ((a a)(^y.b))) 4. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 118152/11605113. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b)) a) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b)) a) 3. ==[ beta ]==> (((a a)(^y.b)) a) 4. ==[ alpha ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 118153/11605119. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 5. ==[ beta ]==> ((a a)(^y.b)) 6. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 118154/11605128. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118155/11605146. ------ 1. ==[ start ]==> ((^a.(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a b)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(^y.(a a)))((a b)(^y.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 118156/11605173. ------ 1. ==[ start ]==> ((^a.b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 118157/11605209. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118158/11605254. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) a)(^b.b))) 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. ------ 118159/11605320. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 118160/11605371. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 118161/11605614. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 118162/11605707. ------ 1. ==[ start ]==> (((^a.(a a)) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 118163/11606787. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.((y1 y1)(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((x1 x1)(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(x1 x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118164/11607396. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(b a))) 3. ==[ beta ]==> (^y.(((^z.a)(b a))((^z.a)(b a)))) 4. ==[ alpha ]==> (^x.(((^y.a)(b a))((^z.a)(b a)))) 5. ==[ beta ]==> (^x.(a ((^z.a)(b a)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(b a)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 118165/11607777. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (b (^x1.(^y1.y1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 118166/11607786. ------ 1. ==[ start ]==> (((a b) b)(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) b)(^x.b)) REDUCED to normal form. ------ 118167/11608278. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(^y1.b))(((^z.z)(^x1.x1))(^y1.b)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.b)))(^x2.x2)) 5. ==[ beta ]==> ((((^y.y)(^z.b))(((^x1.x1)(^y1.y1))(^z1.b)))(^x2.x2)) 6. ==[ alpha ]==> ((((^x.x)(^y.b))(((^z.z)(^x1.x1))(^y1.b)))(^z1.z1)) 7. ==[ beta ]==> (((^y.b)(((^z.z)(^x1.x1))(^y1.b)))(^z1.z1)) 8. ==[ alpha ]==> (((^x.b)(((^y.y)(^z.z))(^x1.b)))(^y1.y1)) 9. ==[ beta ]==> (b (^y1.y1)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118168/11608695. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118169/11608704. ------ 1. ==[ start ]==> (((a b)(^b.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 118170/11609034. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ eta ]==> (b (((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 118171/11609541. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(b x1))) 3. ==[ eta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 118172/11609871. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x1.a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 118173/11610045. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 118174/11610297. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.((z z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((y y)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118175/11610474. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (^z.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118176/11610789. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b) b)) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b) b)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 118177/11610963. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 118178/11611788. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^y.y)(^z.z))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))((((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))(((^x4.x4)(^y4.y4))(^z4.(^x5.x5))))) 5. ==[ beta ]==> ((((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2))))((((^z2.z2)(^x3.x3))(^y3.(^z3.z3)))(((^x4.x4)(^y4.y4))(^z4.(^x5.x5))))) 6. ==[ alpha ]==> ((((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))((((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))(((^z3.z3)(^x4.x4))(^y4.(^z4.z4))))) 7. ==[ beta ]==> (((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2))))((((^y2.y2)(^z2.z2))(^x3.(^y3.y3)))(((^z3.z3)(^x4.x4))(^y4.(^z4.z4))))) 8. ==[ alpha ]==> (((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1))))((((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))(((^y3.y3)(^z3.z3))(^x4.(^y4.y4))))) 9. ==[ beta ]==> ((^y.y)((((^x2.x2)(^y2.y2))(^z2.(^x3.x3)))(((^y3.y3)(^z3.z3))(^x4.(^y4.y4))))) 10. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2))))) 11. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(^y1.y1)))(((^z1.z1)(^x2.x2))(^y2.(^z2.z2)))) 12. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 13. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 14. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 15. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 16. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118179/11612070. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118180/11612232. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.(^z.y))) 3. ==[ beta ]==> (((b a)(b a))(^y.(^z.y))) 4. ==[ alpha ]==> (((b a)(b a))(^x.(^y.x))) REDUCED to normal form. ------ 118181/11612868. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118182/11612961. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118183/11613042. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 118184/11613186. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b c)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 118185/11613258. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 118186/11613321. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 118187/11613420. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 118188/11613429. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(y y))) REDUCED to normal form. ------ 118189/11613456. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 118190/11613468. ------ 1. ==[ start ]==> ((a a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> ((a a)((a a)(^y.b))) 4. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 118191/11613477. ------ 1. ==[ start ]==> ((a (^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 118192/11613495. ------ 1. ==[ start ]==> ((a (a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 118193/11613504. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118194/11613522. ------ 1. ==[ start ]==> ((a b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 118195/11613558. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 118196/11613576. ------ 1. ==[ start ]==> (((a a)(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a a))((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 118197/11613603. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a (a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 118198/11613612. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118199/11613639. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118200/11613666. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(b (^x1.x1)))) 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. ------ 118201/11613720. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 118202/11613738. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b c)) REDUCED to normal form. ------ 118203/11613882. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (a ((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> (a ((^x.b)(^y.(a a)))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 118204/11613963. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.(x x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 118205/11614053. ------ 1. ==[ start ]==> (((^a.(a a)) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(a (b (^y.y)))) 3. ==[ beta ]==> ((a a)(a (b (^y.y)))) 4. ==[ alpha ]==> ((a a)(a (b (^x.x)))) REDUCED to normal form. ------ 118206/11614134. ------ 1. ==[ start ]==> ((((^a.a) a) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 118207/11614161. ------ 1. ==[ start ]==> (((a (a a)) a)((b a)(a (a a)))) REDUCED to normal form. ------ 118208/11614188. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 118209/11614215. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a a)((a a) a))) REDUCED to normal form. ------ 118210/11614242. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 118211/11614269. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 118212/11614377. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.y))((^z.z) b))) 3. ==[ beta ]==> ((b b)((a (^y.y))((^z.z) b))) 4. ==[ alpha ]==> ((b b)((a (^x.x))((^y.y) b))) 5. ==[ beta ]==> ((b b)((a (^x.x)) b)) REDUCED to normal form. ------ 118213/11614503. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))((^y2.y2) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118214/11614584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(a a))((a 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. ------ 118215/11614710. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118216/11614737. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 118217/11614791. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 118218/11614818. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b) b)) 5. ==[ beta ]==> ((a a)(((^y.y) b) b)) 6. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 7. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 118219/11614935. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 118220/11615016. ------ 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. ------ 118221/11615097. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a ((^x.x) 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. ------ 118222/11615106. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(b ((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.a))(b b)) REDUCED to normal form. ------ 118223/11615133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118224/11615160. ------ 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. ------ 118225/11615349. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118226/11615448. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.z))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(b (^z.z))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(b (^z.z))) IRREDUCIBLE: cycle. ------ 118227/11615529. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 118228/11615637. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.b)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 118229/11615718. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 118230/11615745. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 118231/11615763. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118232/11615790. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a a)(^y.y))) REDUCED to normal form. ------ 118233/11615817. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b) a)) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b) a)) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) a)) 7. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 118234/11615844. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 118235/11615871. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((b a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((b a) c)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((b a) c)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((b a) c)) 5. ==[ beta ]==> (((^y.y) a)((b a) c)) 6. ==[ alpha ]==> (((^x.x) a)((b a) c)) 7. ==[ beta ]==> (a ((b a) c)) REDUCED to normal form. ------ 118236/11615961. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118237/11615988. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118238/11616042. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 9. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118239/11616123. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118240/11616132. ------ 1. ==[ start ]==> (((a b) b)(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b) b)(a ((^x.x) b))) 3. ==[ beta ]==> (((a b) b)(a b)) REDUCED to normal form. ------ 118241/11616159. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> (((a a) a)((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 118242/11616186. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 118243/11616213. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 118244/11616267. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 118245/11616294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((^y.(y y))(((a a) a)((a a) a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a) a)((a a) a))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 118246/11616321. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.z)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(a b)) REDUCED to normal form. ------ 118247/11616348. ------ 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)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a (a a))(a a))) REDUCED to normal form. ------ 118248/11616375. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 118249/11616465. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 118250/11616492. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 118251/11616519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))(^z.a))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 118252/11616546. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(^y.(y y)))) 6. ==[ alpha ]==> ((((a a) a) a)((a a)(^x.(x x)))) REDUCED to normal form. ------ 118253/11616573. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 118254/11616627. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.b)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.b)) REDUCED to normal form. ------ 118255/11616663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 118256/11616879. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 118257/11616960. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 118258/11616996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(c ((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(c ((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c ((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(c ((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(c ((a a)(^z.z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118259/11617023. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(b (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(b (b a))) REDUCED to normal form. ------ 118260/11617041. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118261/11617050. ------ 1. ==[ start ]==> (((a b)(^b.a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 118262/11617077. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(a a))) REDUCED to normal form. ------ 118263/11617104. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((a a)(^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 118264/11617356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a)(^y.y))) REDUCED to normal form. ------ 118265/11617383. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 118266/11617473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118267/11617554. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^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. ------ 118268/11617662. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^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. ------ 118269/11617689. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118270/11617743. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 118271/11617824. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118272/11617833. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(c ((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(c (a a))) REDUCED to normal form. ------ 118273/11617860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.a))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 118274/11617887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (b a))) REDUCED to normal form. ------ 118275/11617950. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a)) c)) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 118276/11618166. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 118277/11618220. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)(^z.a))) REDUCED to normal form. ------ 118278/11618229. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118279/11618310. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a a)((^z.(z z))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))((a a) a))) 7. ==[ beta ]==> ((a a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 118280/11618391. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 118281/11618526. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 118282/11618553. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 118283/11618607. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(a a)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 118284/11618616. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 118285/11618643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(a ((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.b)(a ((a a)(^z.z)))) 6. ==[ alpha ]==> ((^x.b)(a ((a a)(^y.y)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118286/11618697. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(a (^z.z)))) REDUCED to normal form. ------ 118287/11618724. ------ 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) a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(((a a) a) a)) REDUCED to normal form. ------ 118288/11618751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a (a a))) REDUCED to normal form. ------ 118289/11618805. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a ((a a) a))) REDUCED to normal form. ------ 118290/11618823. ------ 1. ==[ start ]==> ((a (^b.b))(c (^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(c (^y.b))) REDUCED to normal form. ------ 118291/11618895. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 118292/11618922. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 118293/11618949. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)(^y.a))) 5. ==[ beta ]==> ((a b)(((a a) a)(^y.a))) 6. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 118294/11618976. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(y y))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(x x))) REDUCED to normal form. ------ 118295/11619003. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 118296/11619057. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(^z.b))) REDUCED to normal form. ------ 118297/11619111. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a) a)) REDUCED to normal form. ------ 118298/11619138. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b) b)) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b) b)) 3. ==[ beta ]==> ((a b)((a b) b)) REDUCED to normal form. ------ 118299/11619147. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118300/11619309. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 118301/11619426. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 118302/11619453. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a)(a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((b a)(a ((^x.x)(^y.y)))) 7. ==[ beta ]==> ((b a)(a (^y.y))) 8. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 118303/11619471. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(c (^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(c (^z.a))) 3. ==[ beta ]==> (((^y.y) b)(c (^z.a))) 4. ==[ alpha ]==> (((^x.x) b)(c (^y.a))) 5. ==[ beta ]==> (b (c (^y.a))) 6. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 118304/11619480. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 118305/11619498. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (^y1.b))) 3. ==[ beta ]==> ((^y.y)(b (^y1.b))) 4. ==[ alpha ]==> ((^x.x)(b (^y.b))) 5. ==[ beta ]==> (b (^y.b)) 6. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 118306/11619507. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a a)(a b))) REDUCED to normal form. ------ 118307/11619552. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 118308/11619633. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 118309/11619642. ------ 1. ==[ start ]==> (((a b)(^c.a))(d e)) 2. ==[ alpha ]==> (((a b)(^x.a))(d e)) REDUCED to normal form. ------ 118310/11619741. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118311/11619921. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b) a)) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b) a)) 7. ==[ beta ]==> ((a a)((^y.b) a)) 8. ==[ alpha ]==> ((a a)((^x.b) a)) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 118312/11619948. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a) b)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a) b)) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 118313/11619975. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y)) c)) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 118314/11620110. ------ 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. ------ 118315/11620137. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 118316/11620173. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z) a))) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118317/11620308. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 118318/11620416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118319/11620452. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> ((b b)((^y.y)(a a))) 6. ==[ alpha ]==> ((b b)((^x.x)(a a))) 7. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 118320/11620479. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 118321/11620524. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(y y)))) 5. ==[ beta ]==> (c (^y.(y y))) 6. ==[ alpha ]==> (c (^x.(x x))) REDUCED to normal form. ------ 118322/11620533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 118323/11620560. ------ 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 a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((a a)(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 118324/11620578. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(a (^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(a (^y.a))) 3. ==[ beta ]==> (((b a)(b a))(a (^y.a))) 4. ==[ alpha ]==> (((b a)(b a))(a (^x.a))) REDUCED to normal form. ------ 118325/11620659. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.a)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y) a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118326/11620668. ------ 1. ==[ start ]==> (((a b)(^a.b))(c d)) 2. ==[ alpha ]==> (((a b)(^x.b))(c d)) REDUCED to normal form. ------ 118327/11620767. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118328/11620803. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c ((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c ((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c ((^z.z) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(c a)) REDUCED to normal form. ------ 118329/11620830. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (a (a a)))) REDUCED to normal form. ------ 118330/11620866. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 118331/11620893. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z)) b)) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y)) b)) 5. ==[ beta ]==> (((a (^x.x)) b)(b b)) REDUCED to normal form. ------ 118332/11620920. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a) c)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a) c)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a) c)) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 118333/11621001. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 118334/11621028. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 118335/11621055. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 118336/11621082. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(^z.(z z)))) REDUCED to normal form. ------ 118337/11621136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a b)) REDUCED to normal form. ------ 118338/11621163. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z)) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y)) c)) REDUCED to normal form. ------ 118339/11621217. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y)) a)) 3. ==[ beta ]==> ((a (b (^x.x)))(a a)) REDUCED to normal form. ------ 118340/11621307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118341/11621388. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118342/11621532. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(a (^y.y)))) 3. ==[ beta ]==> ((b c)((a a)(a (^y.y)))) 4. ==[ alpha ]==> ((b c)((a a)(a (^x.x)))) REDUCED to normal form. ------ 118343/11621559. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c a)) REDUCED to normal form. ------ 118344/11621604. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 118345/11621631. ------ 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)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118346/11621667. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(a (a (^y.y)))) REDUCED to normal form. ------ 118347/11621685. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.y1))) REDUCED to normal form. ------ 118348/11621694. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(a a))) REDUCED to normal form. ------ 118349/11621766. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118350/11621775. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (a a))) REDUCED to normal form. ------ 118351/11621802. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a a)) 3. ==[ beta ]==> (((a a)(^y.b))(a a)) 4. ==[ alpha ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 118352/11622408. ------ 1. ==[ start ]==> ((^a.(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((^y.(b (^z.z)))((^y.(b (^z.z)))(^y.(b (^z.z))))) 4. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(b (^x1.x1)))(^y1.(b (^z1.z1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118353/11629563. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118354/11630151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b)) b) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b)) b) 3. ==[ beta ]==> (((a a)(^y.b)) b) 4. ==[ alpha ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 118355/11630175. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118356/11630376. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 118357/11630418. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.(((a a)(a a)) b)) 4. ==[ alpha ]==> (^x.(((a a)(a a)) b)) REDUCED to normal form. ------ 118358/11630760. ------ 1. ==[ start ]==> ((^a.(a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (b (^y.y)))((a (b (^y.y)))(a (b (^y.y))))) 4. ==[ alpha ]==> ((a (b (^x.x)))((a (b (^y.y)))(a (b (^z.z))))) REDUCED to normal form. ------ 118359/11630763. ------ 1. ==[ start ]==> ((a (a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(^x.(b (^y.y)))) REDUCED to normal form. ------ 118360/11631111. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118361/11631834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118362/11631876. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z) b)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 118363/11632056. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^x1.x1)(a a))) b) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a))) b) 5. ==[ beta ]==> (((^y.y)((^z.z)(a a))) b) 6. ==[ alpha ]==> (((^x.x)((^y.y)(a a))) b) 7. ==[ beta ]==> (((^y.y)(a a)) b) 8. ==[ alpha ]==> (((^x.x)(a a)) b) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 118364/11632833. ------ 1. ==[ start ]==> (((a b) b)(^b.(^b.b))) 2. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 118365/11633139. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 118366/11633751. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 118367/11634318. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(y a))) REDUCED to normal form. ------ 118368/11635092. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118369/11635344. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118370/11635569. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^y.(a a))) REDUCED to normal form. ------ 118371/11635803. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118372/11636622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(x1 b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(z b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z b))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y b))) 7. ==[ beta ]==> ((a a)(^y.(y b))) 8. ==[ alpha ]==> ((a a)(^x.(x b))) REDUCED to normal form. ------ 118373/11637423. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 118374/11637567. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 118375/11637915. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118376/11637918. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(y (y y)))) REDUCED to normal form. ------ 118377/11638089. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 118378/11638233. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118379/11638260. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.x))) REDUCED to normal form. ------ 118380/11638305. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 118381/11638368. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 118382/11638467. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.a)) 3. ==[ beta ]==> (b (^z.a)) 4. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 118383/11638476. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 118384/11638503. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 118385/11638533. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.x))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 118386/11638542. ------ 1. ==[ start ]==> (((^a.a) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(a b))) 3. ==[ beta ]==> (a ((^y.(a a))(a b))) 4. ==[ alpha ]==> (a ((^x.(a a))(a b))) 5. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 118387/11638560. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 118388/11638569. ------ 1. ==[ start ]==> (((a a) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 118389/11638623. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118390/11638650. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 118391/11638668. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) a)(^b.b))) 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. ------ 118392/11638677. ------ 1. ==[ start ]==> (((a a) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y) b))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 118393/11638704. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 118394/11638731. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 118395/11638749. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 118396/11638776. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(a a)) b)) REDUCED to normal form. ------ 118397/11638812. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 118398/11638893. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 118399/11638920. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 118400/11638947. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 118401/11639091. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 118402/11639118. ------ 1. ==[ start ]==> ((a (a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (a (a a)))(a (b (^x.x)))) REDUCED to normal form. ------ 118403/11639154. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(a a)) b)) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118404/11639361. ------ 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))((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)))) 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. ------ 118405/11639388. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (a a))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (a a))(b a))) REDUCED to normal form. ------ 118406/11639415. ------ 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.(^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. ------ 118407/11639433. ------ 1. ==[ start ]==> (((^a.(a a)) b)(c (^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) b)(c (^y.y))) 3. ==[ beta ]==> ((b b)(c (^y.y))) 4. ==[ alpha ]==> ((b b)(c (^x.x))) REDUCED to normal form. ------ 118408/11639442. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^x.x)) b)) REDUCED to normal form. ------ 118409/11639469. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 118410/11639505. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 118411/11639559. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1)))(^x2.a))) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1)))(^x2.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 118412/11639568. ------ 1. ==[ start ]==> (((a (a a)) b)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.(^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a)) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(^x.(^y.y))) REDUCED to normal form. ------ 118413/11639613. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 118414/11639622. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 118415/11639649. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a a)) REDUCED to normal form. ------ 118416/11639676. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.b)(a b))) 3. ==[ beta ]==> ((a (^y.a))((^z.b)(a b))) 4. ==[ alpha ]==> ((a (^x.a))((^y.b)(a b))) 5. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 118417/11639694. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 118418/11639730. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118419/11640027. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.b)(^x1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.b)(^z.b))) 5. ==[ beta ]==> (b ((^y.b)(^z.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 118420/11640135. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^x.(x x))) a) REDUCED to normal form. ------ 118421/11640162. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 118422/11640234. ------ 1. ==[ start ]==> ((a (^a.b))((^b.b) b)) 2. ==[ alpha ]==> ((a (^x.b))((^y.y) b)) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 118423/11640252. ------ 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. ------ 118424/11640279. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))((b a) a)) REDUCED to normal form. ------ 118425/11640306. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a (a (a a)))(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 118426/11640333. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)(((^x.x)(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. ------ 118427/11640360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a b)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)((a a) a))) REDUCED to normal form. ------ 118428/11640387. ------ 1. ==[ start ]==> ((((a a) a)(a a))(((a a) a)(a b))) REDUCED to normal form. ------ 118429/11640414. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a b))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a b))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 118430/11640567. ------ 1. ==[ start ]==> ((((a a) a) b)((^b.b)(a a))) 2. ==[ alpha ]==> ((((a a) a) b)((^x.x)(a a))) 3. ==[ beta ]==> ((((a a) a) b)(a a)) REDUCED to normal form. ------ 118431/11640585. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 118432/11640594. ------ 1. ==[ start ]==> (((a b) a)((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 118433/11640612. ------ 1. ==[ start ]==> (((^a.a)(a b))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a b))((b a)(^y.a))) 3. ==[ beta ]==> ((a b)((b a)(^y.a))) 4. ==[ alpha ]==> ((a b)((b a)(^x.a))) REDUCED to normal form. ------ 118434/11640639. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a)(^z.z))(^x1.(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. ------ 118435/11640675. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 118436/11640693. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a b)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a b)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 118437/11640702. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x))) b) REDUCED to normal form. ------ 118438/11640729. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^c.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.a)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.a)((^y.a)(a b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118439/11640756. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(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. ------ 118440/11640774. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 118441/11640783. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.x))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 118442/11640972. ------ 1. ==[ start ]==> (((^a.b) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118443/11641188. ------ 1. ==[ start ]==> (((a b) b)((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 118444/11641233. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1))) b)) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z))) b)) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 118445/11641467. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 118446/11641494. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 118447/11641620. ------ 1. ==[ start ]==> (((^a.b) c)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 118448/11641719. ------ 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.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 118449/11641854. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 118450/11641863. ------ 1. ==[ start ]==> (((a b) c)((^d.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 118451/11641890. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 118452/11641917. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 118453/11641971. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 118454/11641998. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 118455/11642052. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118456/11642106. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 118457/11642196. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((a a)((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))((a a) a)) REDUCED to normal form. ------ 118458/11642223. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a b)(a (a a)))) REDUCED to normal form. ------ 118459/11642250. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))(((a a) a)(^y.y))) 6. ==[ alpha ]==> ((a (a b))(((a a) a)(^x.x))) REDUCED to normal form. ------ 118460/11642277. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a (a a))((a a) a))((a a) a)) REDUCED to normal form. ------ 118461/11642304. ------ 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)))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(a b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(a b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(a b))) 7. ==[ beta ]==> ((^y.y)((a (a a))(a b))) 8. ==[ alpha ]==> ((^x.x)((a (a a))(a b))) 9. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 118462/11642331. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 118463/11642358. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 118464/11642385. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^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. ------ 118465/11642529. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 118466/11642610. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 118467/11642673. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(b a)) REDUCED to normal form. ------ 118468/11642718. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y)) b)) 3. ==[ beta ]==> ((b a)(((a a)(^y.y)) b)) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x)) b)) REDUCED to normal form. ------ 118469/11642781. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 118470/11642808. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 118471/11642862. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 118472/11642889. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 118473/11642916. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 118474/11643006. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(b a))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(b a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 118475/11643033. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((a b)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((a b) a)) REDUCED to normal form. ------ 118476/11643060. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 118477/11643087. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a b))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(a b))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 8. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 118478/11643114. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a (a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 118479/11643141. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z) a)(a b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y) a)(a b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a (a b))) REDUCED to normal form. ------ 118480/11643168. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a (^x.x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a (^x.x))(a a))) REDUCED to normal form. ------ 118481/11643195. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) a)((a a)((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a) a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 118482/11643267. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118483/11643285. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118484/11643366. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))(^z.a))) 5. ==[ beta ]==> ((a a)((a (a a))(^z.a))) 6. ==[ alpha ]==> ((a a)((a (a a))(^x.a))) REDUCED to normal form. ------ 118485/11643447. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 118486/11643591. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 118487/11643672. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 118488/11643699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118489/11643744. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (b ((^x1.(a a)) b)) 4. ==[ alpha ]==> (b ((^x.(a a)) b)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118490/11643897. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (^z.z))(a b))) REDUCED to normal form. ------ 118491/11643924. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(a a))) REDUCED to normal form. ------ 118492/11644158. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 118493/11644203. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 118494/11644536. ------ 1. ==[ start ]==> (((a a)(^b.b))(c (^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c (^y.a))) REDUCED to normal form. ------ 118495/11644563. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (^y1.b))) REDUCED to normal form. ------ 118496/11644608. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 118497/11644644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))((^z.a)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.a)(a (^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118498/11644671. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.y)) REDUCED to normal form. ------ 118499/11644689. ------ 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 y)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 118500/11644698. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 118501/11644725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 118502/11644752. ------ 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.(^x1.x1))((a 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. ------ 118503/11644797. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118504/11644806. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 118505/11644833. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 118506/11644923. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (b a))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (b a))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (b a))(c (^y.y))) 6. ==[ alpha ]==> ((a (b a))(c (^x.x))) REDUCED to normal form. ------ 118507/11644950. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(b ((a a) a))) REDUCED to normal form. ------ 118508/11644977. ------ 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. ------ 118509/11645004. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a)(a a))) REDUCED to normal form. ------ 118510/11645031. ------ 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))(a (^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (((a b)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a b)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 118511/11645058. ------ 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)))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a (a a)) a)) REDUCED to normal form. ------ 118512/11645085. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (a (a a)))) REDUCED to normal form. ------ 118513/11645139. ------ 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. ------ 118514/11645229. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 118515/11645364. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) b)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 118516/11645589. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (^z.(z z)))) REDUCED to normal form. ------ 118517/11645616. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 118518/11645697. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 118519/11645715. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 118520/11645724. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 118521/11645778. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 118522/11645823. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((a (a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118523/11645832. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.(^z1.z1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 118524/11645859. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 118525/11645886. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 118526/11645922. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 118527/11645949. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(a a))) REDUCED to normal form. ------ 118528/11645976. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a (^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. ------ 118529/11646003. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a))((a (^x.x)) a)) REDUCED to normal form. ------ 118530/11646030. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 118531/11646219. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (a (^z.z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (a (^y.y)))) REDUCED to normal form. ------ 118532/11646246. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b ((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(b a)) REDUCED to normal form. ------ 118533/11646273. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (a (a a)))) REDUCED to normal form. ------ 118534/11646444. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 118535/11646552. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118536/11646588. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(b (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(b (^x.(^y.y)))) REDUCED to normal form. ------ 118537/11646615. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.a))) REDUCED to normal form. ------ 118538/11646660. ------ 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)))) REDUCED to normal form. ------ 118539/11646687. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((a (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) a)) 5. ==[ beta ]==> ((a (^y.y)) a) 6. ==[ alpha ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 118540/11646723. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 118541/11646741. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 118542/11646750. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 118543/11646822. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a) a)) 3. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 118544/11646831. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 118545/11646858. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.z))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 118546/11654628. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118547/11655216. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b)) c) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b)) c) 3. ==[ beta ]==> (((a a)(^y.b)) c) 4. ==[ alpha ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 118548/11655267. ------ 1. ==[ start ]==> ((^a.(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(a b))) 3. ==[ beta ]==> (((^y.(a a))(a b))((^y.(a a))(a b))) 4. ==[ alpha ]==> (((^x.(a a))(a b))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 118549/11655294. ------ 1. ==[ start ]==> ((^a.b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 118550/11655375. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^z.(z z))(a (^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 118551/11655564. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118552/11655846. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.(y y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(x x))(^y.(b (^z.z)))) 5. ==[ beta ]==> ((^y.(b (^z.z)))(^y.(b (^z.z)))) 6. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(b (^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118553/11656059. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118554/11656185. ------ 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)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118555/11656197. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118556/11656566. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 118557/11656617. ------ 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)((^z1.z1)(^x2.(^y2.y2)))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118558/11656950. ------ 1. ==[ start ]==> ((^a.(^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.b))(((^z.z) b)(a a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 118559/11657592. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(^z.z)))(^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 (^y.y))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 118560/11657724. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(a a))(^x1.(^y1.y1)))((^z.(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.(a a))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a a)((^x1.(a a))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 118561/11658240. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(^a.(^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. ------ 118562/11659131. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 118563/11659392. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.a))) REDUCED to normal form. ------ 118564/11659704. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 118565/11659992. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (((^x1.(a a))(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a 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. ------ 118566/11660595. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118567/11660877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118568/11660886. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^z.(a a))) REDUCED to normal form. ------ 118569/11660910. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 118570/11661084. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^d.(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a b))) 3. ==[ beta ]==> (b (^z.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 118571/11661696. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.(^x1.z))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(^x1.z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(^z.y))) 7. ==[ beta ]==> ((a a)(^y.(^z.y))) 8. ==[ alpha ]==> ((a a)(^x.(^y.x))) REDUCED to normal form. ------ 118572/11661885. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.b))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.b))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.b))) REDUCED to normal form. ------ 118573/11662353. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((b a)(b a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((b a)(b a))(^x.(^z.z))) 6. ==[ alpha ]==> (((b a)(b a))(^x.(^y.y))) REDUCED to normal form. ------ 118574/11662497. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 118575/11662641. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118576/11662776. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118577/11662989. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118578/11662992. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 118579/11663271. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((^z1.z1) y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^z1.z1)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.y1)) 5. ==[ beta ]==> ((^y.(^z.z))(^y1.y1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118580/11663334. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.c)) REDUCED to normal form. ------ 118581/11663442. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.b)) 3. ==[ beta ]==> ((a (^y.y))(^z.b)) 4. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 118582/11663460. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(y1 (^z1.z1)))) REDUCED to normal form. ------ 118583/11663541. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 118584/11663550. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 118585/11663577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 118586/11663625. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (a (((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (a (((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> (a ((a a)(^y.b))) 6. ==[ alpha ]==> (a ((a a)(^x.b))) REDUCED to normal form. ------ 118587/11663634. ------ 1. ==[ start ]==> ((a (a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (a a))((^x.(a a))(a b))) 3. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 118588/11663652. ------ 1. ==[ start ]==> (((a a) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 118589/11663661. ------ 1. ==[ start ]==> ((a b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a b)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 118590/11663715. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))(^y.y)) 4. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 118591/11663733. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 118592/11663742. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (^x.x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 118593/11663760. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) a)(^b.b))) 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. ------ 118594/11663841. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b (^z.z)) a)) REDUCED to normal form. ------ 118595/11663895. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 118596/11663904. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.a)) REDUCED to normal form. ------ 118597/11663931. ------ 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 y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 118598/11664120. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 8. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 118599/11664147. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) a) REDUCED to normal form. ------ 118600/11664210. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((^y.(y y))(a (b (^z.z)))) 4. ==[ alpha ]==> ((^x.(x x))(a (b (^y.y)))) 5. ==[ beta ]==> ((a (b (^y.y)))(a (b (^y.y)))) 6. ==[ alpha ]==> ((a (b (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 118601/11664237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 118602/11664273. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.y) c)) 3. ==[ beta ]==> ((a b)((^y.y) c)) 4. ==[ alpha ]==> ((a b)((^x.x) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 118603/11664291. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 118604/11664318. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (a a))((b a)(a (a a)))) REDUCED to normal form. ------ 118605/11664345. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 118606/11664399. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a b)(a b))) 3. ==[ beta ]==> (((a a)(a a))((a b)(a b))) REDUCED to normal form. ------ 118607/11664426. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 118608/11664552. ------ 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 (^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 118609/11664561. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118610/11664651. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 118611/11664678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y) a)((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(y y)))) 5. ==[ beta ]==> (a ((b a)(^y.(y y)))) 6. ==[ alpha ]==> (a ((b a)(^x.(x x)))) REDUCED to normal form. ------ 118612/11664705. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 118613/11664759. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a b)(^z.b))) 3. ==[ beta ]==> ((a (^y.a))((a b)(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))((a b)(^y.b))) REDUCED to normal form. ------ 118614/11664786. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 118615/11664849. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(b a))) 5. ==[ beta ]==> (((a a)(^x.x))((b a)(b a))) REDUCED to normal form. ------ 118616/11664876. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) a) REDUCED to normal form. ------ 118617/11664903. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 118618/11664930. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 118619/11664984. ------ 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. ------ 118620/11665317. ------ 1. ==[ start ]==> ((a (^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (^x.b))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((a (^x.b))(b (a a))) REDUCED to normal form. ------ 118621/11665506. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 118622/11665587. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.z))(a (^x1.(^y1.y1))))) IRREDUCIBLE: cycle. ------ 118623/11665650. ------ 1. ==[ start ]==> ((((a a) a) b)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a) b)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> ((((a a) a) b)(b (^y.y))) 4. ==[ alpha ]==> ((((a a) a) b)(b (^x.x))) REDUCED to normal form. ------ 118624/11665677. ------ 1. ==[ start ]==> (((a b) a)((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 118625/11665704. ------ 1. ==[ start ]==> (((a a)(^a.b))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.b))((b a)(^y.a))) REDUCED to normal form. ------ 118626/11665758. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 118627/11665785. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a b)(^y.a))) REDUCED to normal form. ------ 118628/11665812. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((a a) a)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118629/11665839. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 118630/11665866. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 118631/11665902. ------ 1. ==[ start ]==> (((a a)(a b))((^b.a)(b a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(b a))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 118632/11665929. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 118633/11665956. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((a (^x.x))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 118634/11665983. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.b)(^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. ------ 118635/11666010. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 8. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 118636/11666064. ------ 1. ==[ start ]==> (((a b)(a a))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 118637/11666091. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 118638/11666262. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 118639/11666298. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y) a)) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 118640/11666316. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 118641/11666325. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 118642/11666343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((b a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 118643/11666397. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))(a (a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))(a (a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(a (a a)))) 9. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(a (a a)))) 10. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(a (a a)))) 11. ==[ beta ]==> (((^y.y)(a a))(a (a a))) 12. ==[ alpha ]==> (((^x.x)(a a))(a (a a))) 13. ==[ beta ]==> ((a a)(a (a a))) REDUCED to normal form. ------ 118644/11666478. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (^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. ------ 118645/11666577. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118646/11666604. ------ 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. ------ 118647/11666631. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 118648/11666703. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^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. ------ 118649/11666712. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a a)) REDUCED to normal form. ------ 118650/11666739. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 118651/11666946. ------ 1. ==[ start ]==> (((a b) c)((b a) b)) REDUCED to normal form. ------ 118652/11666973. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y)) c)) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y)) c)) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x)) c)) REDUCED to normal form. ------ 118653/11667180. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(b (b a))) 3. ==[ beta ]==> (b (b (b a))) REDUCED to normal form. ------ 118654/11667216. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 118655/11667441. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c (^y.(^z.z)))) 3. ==[ beta ]==> (((a b) a)(c (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(c (^x.(^y.y)))) REDUCED to normal form. ------ 118656/11667495. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118657/11668071. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1))(a a))) REDUCED to normal form. ------ 118658/11668251. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c (^x.(a a)))) REDUCED to normal form. ------ 118659/11668278. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b (^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(b (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 118660/11668350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118661/11668359. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 118662/11668827. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(a a))) 5. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 118663/11668836. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 118664/11668863. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b) c)) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 118665/11668890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a) d)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a) d)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 118666/11668935. ------ 1. ==[ start ]==> (((^a.(^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)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118667/11668962. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> ((a (^x.x))(a ((a a) a))) REDUCED to normal form. ------ 118668/11669007. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b (^y.(a a)))) REDUCED to normal form. ------ 118669/11669061. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 118670/11669088. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((a b)((^y.b)(a (^z.z)))) 6. ==[ alpha ]==> ((a b)((^x.b)(a (^y.y)))) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 118671/11669142. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 118672/11669169. ------ 1. ==[ start ]==> ((((^a.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)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)((^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. ------ 118673/11669196. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 118674/11669241. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 118675/11669250. ------ 1. ==[ start ]==> (((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 a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 118676/11669277. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a))(^z.z))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.y))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 118677/11669448. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(b (a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(b (a b))) 3. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 118678/11669556. ------ 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.z1)(^x2.x2))((^y2.y2) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^z1.z1)(^x2.x2))((^y2.y2) 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. ------ 118679/11669610. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 7. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 8. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 118680/11669637. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((a a) a)) 6. ==[ alpha ]==> ((a (^x.x))((a a) a)) REDUCED to normal form. ------ 118681/11669727. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.(^z.z)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118682/11669754. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(^z.a)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.a)) REDUCED to normal form. ------ 118683/11669781. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 118684/11669808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 118685/11669889. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b) a)) REDUCED to normal form. ------ 118686/11669916. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((a a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((a a) a) b)) 3. ==[ beta ]==> ((b (^y.y))(((a a) a) b)) 4. ==[ alpha ]==> ((b (^x.x))(((a a) a) b)) REDUCED to normal form. ------ 118687/11669952. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 118688/11669979. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 118689/11670006. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 118690/11670060. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.b))) 9. ==[ beta ]==> ((a a)(^y.b)) 10. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 118691/11670222. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b (^x1.a))) REDUCED to normal form. ------ 118692/11670249. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (^y.b))) 3. ==[ beta ]==> ((b (a a))(a (^y.b))) 4. ==[ alpha ]==> ((b (a a))(a (^x.b))) REDUCED to normal form. ------ 118693/11670555. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118694/11670591. ------ 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)) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 118695/11670618. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 118696/11670636. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 118697/11670663. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) a)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 7. ==[ beta ]==> (a ((^y.y) a)) 8. ==[ alpha ]==> (a ((^x.x) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118698/11670717. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((b a)(b a))((a a)(^y.y))) 6. ==[ alpha ]==> (((b a)(b a))((a a)(^x.x))) REDUCED to normal form. ------ 118699/11670780. ------ 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))(^y.(^z.z)))) REDUCED to normal form. ------ 118700/11670807. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.b))(a (^z.a))) 4. ==[ alpha ]==> (((a b)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 118701/11670861. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 118702/11670915. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a)) b)) REDUCED to normal form. ------ 118703/11670942. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a) c)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a c)) REDUCED to normal form. ------ 118704/11671005. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 118705/11671086. ------ 1. ==[ start ]==> (((a (a a))(b a))(c (^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(c (^x.a))) REDUCED to normal form. ------ 118706/11671113. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(b (^z.(z z)))) 5. ==[ beta ]==> (((a a)(^y.y))(b (^z.(z z)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(y y)))) REDUCED to normal form. ------ 118707/11671140. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 118708/11671167. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a a))) 3. ==[ beta ]==> (((a b)(a b))((a a)(a a))) REDUCED to normal form. ------ 118709/11671194. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 118710/11671221. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 118711/11671275. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.x1))) 7. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 8. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 118712/11671302. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 118713/11671329. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 118714/11671356. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.(z z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.(z z))) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 118715/11671446. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)((^x2.x2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118716/11671527. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b c)) 3. ==[ beta ]==> (b (b c)) REDUCED to normal form. ------ 118717/11671635. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118718/11671671. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) b)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) b)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) b)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 118719/11671698. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x) c)) 3. ==[ beta ]==> ((((a a)(a a)) b) c) REDUCED to normal form. ------ 118720/11671743. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b b)) 3. ==[ beta ]==> ((b (^y.y))(b b)) 4. ==[ alpha ]==> ((b (^x.x))(b b)) REDUCED to normal form. ------ 118721/11671806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a) b)) 3. ==[ beta ]==> ((a (^y.y))((a a) b)) 4. ==[ alpha ]==> ((a (^x.x))((a a) b)) REDUCED to normal form. ------ 118722/11671824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (a (^y1.y1)))) REDUCED to normal form. ------ 118723/11671833. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 118724/11671905. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a b)) 3. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 118725/11671914. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a) a)) REDUCED to normal form. ------ 118726/11671941. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 118727/11679720. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.d)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.d)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118728/11680368. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((((^y.y)(a a))(^z.b))(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.b))(((^z.z)(a a))(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))(^z.b))) 7. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.b))) 8. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.b))) REDUCED to normal form. ------ 118729/11680395. ------ 1. ==[ start ]==> ((^a.b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a b)(^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 118730/11680476. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^z.(^x1.(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 118731/11680569. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 118732/11681718. ------ 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. ------ 118733/11682036. ------ 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. ------ 118734/11682618. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.(((^z.(z z))((a a)(^x1.x1)))((^z.(z z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((^y.(y y))((a a)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1))))) 5. ==[ beta ]==> (^x.((((a a)(^z.z))((a a)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1))))) 6. ==[ alpha ]==> (^x.((((a a)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1))))) 7. ==[ beta ]==> (^x.((((a a)(^y.y))((a a)(^z.z)))(((a a)(^y1.y1))((a a)(^y1.y1))))) 8. ==[ alpha ]==> (^x.((((a a)(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))((a a)(^y1.y1))))) REDUCED to normal form. ------ 118735/11683035. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a) a)(^y.((^z.z) b))) 4. ==[ alpha ]==> (((a a) a)(^x.((^y.y) b))) 5. ==[ beta ]==> (((a a) a)(^x.b)) REDUCED to normal form. ------ 118736/11683953. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 118737/11684256. ------ 1. ==[ start ]==> ((^a.(b a))((b a)(^a.a))) 2. ==[ alpha ]==> ((^x.(b x))((b a)(^y.y))) 3. ==[ eta ]==> (b ((b a)(^y.y))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 118738/11685093. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^x1.x1)(a a))(^y1.(^z1.z1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.y1))) 5. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 118739/11686011. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 118740/11686428. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 118741/11686617. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z)))(a (^x1.x1))) a) 4. ==[ beta ]==> ((^y.(^z.z)) a) 5. ==[ alpha ]==> ((^x.(^y.y)) a) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118742/11687010. ------ 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. ------ 118743/11687328. ------ 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. ------ 118744/11688093. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.d)) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.d)) REDUCED to normal form. ------ 118745/11688372. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118746/11688435. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(a (^y.y)))) REDUCED to normal form. ------ 118747/11688507. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.z)))) 5. ==[ beta ]==> (^y.(a (^z.z))) 6. ==[ alpha ]==> (^x.(a (^y.y))) REDUCED to normal form. ------ 118748/11688561. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) REDUCED to normal form. ------ 118749/11688570. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 118750/11688642. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 118751/11688651. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 118752/11688678. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(z z))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(z z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 118753/11688744. ------ 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. ------ 118754/11688753. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118755/11688771. ------ 1. ==[ start ]==> ((a b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a b)((a b)(^x.(a a)))) REDUCED to normal form. ------ 118756/11688780. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 118757/11688852. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118758/11688861. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118759/11688888. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118760/11688915. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 118761/11688942. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^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. ------ 118762/11688987. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 118763/11689014. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a (^x.x))(a a))(b c)) REDUCED to normal form. ------ 118764/11689050. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 118765/11689131. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y) a)((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(a a))(^z.b))) 5. ==[ beta ]==> (a ((^y.(a a))(^z.b))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.b))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 118766/11689158. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118767/11689302. ------ 1. ==[ start ]==> (((^a.(a a)) a)(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)(b ((a a)(a a)))) 3. ==[ beta ]==> ((a a)(b ((a a)(a a)))) REDUCED to normal form. ------ 118768/11689383. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)(b (a (^y.y)))) 6. ==[ alpha ]==> ((a b)(b (a (^x.x)))) REDUCED to normal form. ------ 118769/11689410. ------ 1. ==[ start ]==> (((a (a a)) a)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a (a a)) a)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 118770/11689437. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((b a)(a (a a)))) REDUCED to normal form. ------ 118771/11689464. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 118772/11689491. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 118773/11689518. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(a b))) REDUCED to normal form. ------ 118774/11689626. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((b b)(a (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((b b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 118775/11689671. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 118776/11689752. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(a (^z1.z1)))) 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. ------ 118777/11689887. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.b)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 118778/11689986. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 118779/11690013. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 118780/11690067. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 118781/11690094. ------ 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. ------ 118782/11690130. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.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. ------ 118783/11690184. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 118784/11690292. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118785/11690346. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.(^x1.x1))))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 118786/11690355. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 118787/11690382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(b ((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(b ((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(b ((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118788/11690409. ------ 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. ------ 118789/11690445. ------ 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. ------ 118790/11690598. ------ 1. ==[ start ]==> (((^a.b) a)(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b) a)(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 118791/11690778. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118792/11690805. ------ 1. ==[ start ]==> (((^a.a)(a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 118793/11690886. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 118794/11690967. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118795/11690994. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.(a a)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 118796/11691039. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 118797/11691066. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a a)(^b.b))) 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))) REDUCED to normal form. ------ 118798/11691093. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b) a)) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b a)) REDUCED to normal form. ------ 118799/11691120. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1))) b)) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> (a ((a (^y.(^z.z))) b)) 8. ==[ alpha ]==> (a ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 118800/11691147. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((b a) c)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((b a) c)) REDUCED to normal form. ------ 118801/11691210. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118802/11691237. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118803/11691291. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118804/11691372. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118805/11691381. ------ 1. ==[ start ]==> (((a b) b)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 118806/11691408. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(a ((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x) b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 118807/11691435. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 118808/11691462. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((b a)(a (^z.z)))) REDUCED to normal form. ------ 118809/11691516. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 118810/11691543. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((a b)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))((a b)((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a b)((^y.y)(^z.z)))((a b)((^y.y)(^z.z)))) 8. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> (((a b)(^y.y))((a b)((^z.z)(^x1.x1)))) 10. ==[ alpha ]==> (((a b)(^x.x))((a b)((^y.y)(^z.z)))) 11. ==[ beta ]==> (((a b)(^x.x))((a b)(^z.z))) 12. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 118811/11691570. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 118812/11691597. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 118813/11691624. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 118814/11691741. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 118815/11691768. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))((b a)(^y.(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 118816/11691795. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> ((((a a) a) a)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 118817/11691822. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 118818/11691849. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 118819/11691912. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118820/11692047. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 118821/11692128. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 118822/11692155. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118823/11692209. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.x)) REDUCED to normal form. ------ 118824/11692299. ------ 1. ==[ start ]==> (((a b)(^b.a))(b (b a))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (b a))) REDUCED to normal form. ------ 118825/11692326. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 118826/11692353. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a)(a a))) REDUCED to normal form. ------ 118827/11692632. ------ 1. ==[ start ]==> ((a (b a))((b a)(^a.a))) 2. ==[ alpha ]==> ((a (b a))((b a)(^x.x))) REDUCED to normal form. ------ 118828/11692722. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.b)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.b)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.b)(a (a a)))) 5. ==[ beta ]==> (b ((^z.b)(a (a a)))) 6. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 118829/11692803. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(z z))(a b))) 3. ==[ beta ]==> (b ((^z.(z z))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 118830/11692992. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 118831/11693073. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (b ((^y.(y y))(^z.b))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.b))) 5. ==[ beta ]==> (b ((^y.b)(^y.b))) 6. ==[ alpha ]==> (b ((^x.b)(^y.b))) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 118832/11693109. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(c ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(c ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(c ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(c (a a))) REDUCED to normal form. ------ 118833/11693136. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 118834/11693199. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 118835/11693226. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 118836/11693469. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 118837/11693478. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118838/11693559. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 118839/11693640. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118840/11693748. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118841/11693802. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118842/11693856. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(^z.b))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.b))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 118843/11693865. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(c (a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(c (a b))) REDUCED to normal form. ------ 118844/11693892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)(b ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.b)(b ((^y.y)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 118845/11693946. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 118846/11693973. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 118847/11694000. ------ 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(((a a) a) a)) REDUCED to normal form. ------ 118848/11694054. ------ 1. ==[ start ]==> (((a (^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)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a (a a))(^x1.x1))) REDUCED to normal form. ------ 118849/11694171. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a 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))) 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. ------ 118850/11694198. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(^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. ------ 118851/11694225. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)(^x.a))) REDUCED to normal form. ------ 118852/11694252. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(z z)))) 7. ==[ beta ]==> (((a b)(^x.x))(^z.(z z))) 8. ==[ alpha ]==> (((a b)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 118853/11694279. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 118854/11694360. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.(a a)))) REDUCED to normal form. ------ 118855/11694387. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a)) a)) 3. ==[ beta ]==> ((a b)(((^y.y)(a a)) a)) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a)) a)) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 118856/11694396. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118857/11694423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(^x2.(^y2.y2)))) 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. ------ 118858/11694558. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118859/11694675. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.x1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z) a)) 7. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 118860/11694702. ------ 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. ------ 118861/11694729. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 118862/11694756. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))((a a) a))) REDUCED to normal form. ------ 118863/11694801. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a (^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 118864/11694882. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118865/11694990. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.y1)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118866/11695062. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> (((a a) b)((^y.y) c)) 6. ==[ alpha ]==> (((a a) b)((^x.x) c)) 7. ==[ beta ]==> (((a a) b) c) REDUCED to normal form. ------ 118867/11695197. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b) a)) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b) a)) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 118868/11695224. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a) b)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a) b)) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 118869/11695251. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1)) c)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1)) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z)) c)) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 118870/11695386. ------ 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. ------ 118871/11695422. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118872/11695557. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.a)(^y.y))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118873/11695665. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118874/11695701. ------ 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. ------ 118875/11695728. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x)(^y.y))(a a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.y)(a a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.x)(a a))) 5. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 118876/11695782. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 118877/11695809. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 118878/11695827. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b (^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(b (^x.(^y.y)))) REDUCED to normal form. ------ 118879/11695908. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))(a (^y.y)))) 5. ==[ beta ]==> (b ((a (^y.y))(a (^y.y)))) 6. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 118880/11696016. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^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. ------ 118881/11696142. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^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. ------ 118882/11696169. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z)) b)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(b b)) REDUCED to normal form. ------ 118883/11696196. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a) c)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a) c)) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 118884/11696277. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.x))) REDUCED to normal form. ------ 118885/11696304. ------ 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)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 118886/11696331. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 118887/11696385. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a)) a)) REDUCED to normal form. ------ 118888/11696412. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a) b)) 5. ==[ beta ]==> ((b (a (^x.x)))(a b)) REDUCED to normal form. ------ 118889/11696556. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b (^y1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b (^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b (^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))(b (^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118890/11696637. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a 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. ------ 118891/11696745. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118892/11696781. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(a a))) 3. ==[ beta ]==> ((b c)((a (^y.y))(a a))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(a a))) REDUCED to normal form. ------ 118893/11696808. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(a (^x.x)))) REDUCED to normal form. ------ 118894/11696853. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^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. ------ 118895/11696880. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^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. ------ 118896/11696916. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a a))) 3. ==[ beta ]==> ((a (^y.y))(b (a a))) 4. ==[ alpha ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 118897/11696934. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(^x2.x2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.(^x2.x2))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.z1))) REDUCED to normal form. ------ 118898/11696943. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (a (^x1.x1)))) REDUCED to normal form. ------ 118899/11697015. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(a a))) 3. ==[ beta ]==> (b ((^z.z)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118900/11697024. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a b)) REDUCED to normal form. ------ 118901/11697051. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (a a))) 3. ==[ beta ]==> (((a a)(^y.b))(a (a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (a a))) REDUCED to normal form. ------ 118902/11705706. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 118903/11705721. ------ 1. ==[ start ]==> ((^a.(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.x))((b (^z.z)) a)) 3. ==[ beta ]==> (^y.((b (^z.z)) a)) 4. ==[ alpha ]==> (^x.((b (^y.y)) a)) REDUCED to normal form. ------ 118904/11706063. ------ 1. ==[ start ]==> ((^a.(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((b ((a a)(a a)))((b ((a a)(a a)))(b ((a a)(a a))))) REDUCED to normal form. ------ 118905/11706414. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118906/11707164. ------ 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. ------ 118907/11707179. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 118908/11707359. ------ 1. ==[ start ]==> ((^a.(a b))(((a a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x b))(((a a) a)(a b))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 118909/11707515. ------ 1. ==[ start ]==> ((((a a) a) b)(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 118910/11707746. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a (a a))(^z.(^x1.x1)))((a (a a))(^z.(^x1.x1))))) 4. ==[ alpha ]==> (^x.(((a (a a))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1))))) REDUCED to normal form. ------ 118911/11708163. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(^y.(^z.z))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 118912/11709081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 118913/11711754. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(a y1))) 3. ==[ eta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 118914/11711952. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^a.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(x b))) REDUCED to normal form. ------ 118915/11712114. ------ 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. ------ 118916/11712456. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 118917/11712897. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 118918/11713218. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b ((^z.z) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118919/11713698. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 118920/11713770. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 118921/11713779. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 118922/11713806. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 118923/11713890. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 118924/11713899. ------ 1. ==[ start ]==> (((a a) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a) a)((^x.(a a))(a b))) 3. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 118925/11713917. ------ 1. ==[ start ]==> (((^a.a)(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 118926/11713926. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 118927/11713953. ------ 1. ==[ start ]==> (((^a.a) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 118928/11713980. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118929/11713998. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118930/11714007. ------ 1. ==[ start ]==> (((a a) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z)))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 118931/11714025. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) a)(^b.b))) 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. ------ 118932/11714034. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 118933/11714061. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((a 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. ------ 118934/11714088. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 118935/11714106. ------ 1. ==[ start ]==> ((a (^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.a))((b (^y.y)) a)) REDUCED to normal form. ------ 118936/11714142. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 118937/11714277. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 118938/11714304. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 118939/11714448. ------ 1. ==[ start ]==> ((a (a (a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 118940/11714538. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.z) c)) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.z) c)) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) c)) 5. ==[ beta ]==> ((^y.y)((^z.z) c)) 6. ==[ alpha ]==> ((^x.x)((^y.y) c)) 7. ==[ beta ]==> ((^y.y) c) 8. ==[ alpha ]==> ((^x.x) c) 9. ==[ beta ]==> c REDUCED to normal form. ------ 118941/11714691. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 118942/11714718. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.z))) 8. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 118943/11714745. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (a a))(b a))) REDUCED to normal form. ------ 118944/11714772. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a a))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 118945/11714799. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 118946/11714889. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b)(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b)(^z1.(^x2.x2)))) 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. ------ 118947/11714898. ------ 1. ==[ start ]==> (((a (a a)) b)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)((^x.x)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a)) b)(a (^y.y))) 4. ==[ alpha ]==> (((a (a a)) b)(a (^x.x))) REDUCED to normal form. ------ 118948/11714925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 118949/11714943. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 118950/11714970. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 118951/11715006. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 118952/11715024. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a b)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 118953/11715033. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 118954/11715267. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) c)) 3. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) 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. ------ 118955/11715357. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.a))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 118956/11715384. ------ 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. ------ 118957/11715438. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 118958/11715492. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 118959/11715519. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.x2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118960/11715564. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 118961/11715582. ------ 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. ------ 118962/11715609. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) REDUCED to normal form. ------ 118963/11715636. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((b a)((^y.y) a))) 3. ==[ beta ]==> ((a (a (a a)))((b a)((^y.y) a))) 4. ==[ alpha ]==> ((a (a (a a)))((b a)((^x.x) a))) 5. ==[ beta ]==> ((a (a (a a)))((b a) a)) REDUCED to normal form. ------ 118964/11715663. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a)) a)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 118965/11715690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1)(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((^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. ------ 118966/11715717. ------ 1. ==[ start ]==> ((((a a) a)(a a))((a b)((a a) a))) REDUCED to normal form. ------ 118967/11715744. ------ 1. ==[ start ]==> ((a (a b))(((a a) a)(a b))) REDUCED to normal form. ------ 118968/11715897. ------ 1. ==[ start ]==> ((((a a) a) b)(a (^c.(a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 118969/11715915. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) b)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 118970/11715924. ------ 1. ==[ start ]==> (((a b) a)((^b.b)(a a))) 2. ==[ alpha ]==> (((a b) a)((^x.x)(a a))) 3. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 118971/11715942. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a b)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 118972/11715951. ------ 1. ==[ start ]==> (((a a)(^a.b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 118973/11715969. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((b a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.a))) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 118974/11716005. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 118975/11716023. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 118976/11716032. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 118977/11716059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((a a) a))) 5. ==[ beta ]==> ((^y.a)((^z.b)((a a) a))) 6. ==[ alpha ]==> ((^x.a)((^y.b)((a a) a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 118978/11716104. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 118979/11716113. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 118980/11716131. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 118981/11716518. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 118982/11716545. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 118983/11716563. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z) a)) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 118984/11716590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 6. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 118985/11716797. ------ 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 a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 118986/11716824. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.y))(b a))) REDUCED to normal form. ------ 118987/11716851. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a ((a a) a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 118988/11716950. ------ 1. ==[ start ]==> (((^a.b) c)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) c)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 118989/11717049. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 118990/11717184. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 118991/11717193. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a b) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) c)(^x.(^y.y))) REDUCED to normal form. ------ 118992/11717301. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) b) REDUCED to normal form. ------ 118993/11717328. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 118994/11717382. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 118995/11717409. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) a) REDUCED to normal form. ------ 118996/11717463. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 118997/11717526. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 118998/11717553. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x))(a a))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a (^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 118999/11717580. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((a b)(a (a a)))) 3. ==[ beta ]==> ((a (a b))((a b)(a (a a)))) REDUCED to normal form. ------ 119000/11717607. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))((a a) a))(((a a) a)(^y.y))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(((a a) a)(^x.x))) REDUCED to normal form. ------ 119001/11717634. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(^z1.z1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a) a))) 9. ==[ beta ]==> (((^y.y)(^z.z))((a a) a)) 10. ==[ alpha ]==> (((^x.x)(^y.y))((a a) a)) 11. ==[ beta ]==> ((^y.y)((a a) a)) 12. ==[ alpha ]==> ((^x.x)((a a) a)) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119002/11717661. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a (a a))(a b))) REDUCED to normal form. ------ 119003/11717688. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)(((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) a)(((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) a)(a ((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b) a)(a ((^x.x)(a a)))) 7. ==[ beta ]==> (((a b) a)(a (a a))) REDUCED to normal form. ------ 119004/11717715. ------ 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))((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. ------ 119005/11717742. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)(b a))) REDUCED to normal form. ------ 119006/11717859. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(^z.(z z)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(^z.(z z)))) 5. ==[ beta ]==> (b ((a b)(^z.(z z)))) 6. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 119007/11717940. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(^z.b))) 3. ==[ beta ]==> (b ((a (a a))(^z.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 119008/11718003. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 119009/11718048. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a) a)) 2. ==[ alpha ]==> (((^x.x)(b a))((b a) a)) 3. ==[ beta ]==> ((b a)((b a) a)) REDUCED to normal form. ------ 119010/11718075. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(^y.y)) b) 6. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 119011/11718111. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 119012/11718138. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 119013/11718192. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 119014/11718219. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(^z.b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((^z.b)(^z.b))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 119015/11718246. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 119016/11718336. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 119017/11718363. ------ 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)(a a))(a (^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. ------ 119018/11718390. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((a b)((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((a b)((^y.y) a))) 6. ==[ alpha ]==> ((a (a a))((a b)((^x.x) a))) 7. ==[ beta ]==> ((a (a a))((a b) a)) REDUCED to normal form. ------ 119019/11718417. ------ 1. ==[ start ]==> (((a (a a))(a b))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 119020/11718444. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) a)(^y.y)) 12. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 119021/11718471. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((a (a a))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a (a a))((a a) a))) REDUCED to normal form. ------ 119022/11718498. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x) a)(a b))) 3. ==[ beta ]==> (((a b)(a (a a)))(a (a b))) REDUCED to normal form. ------ 119023/11718525. ------ 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))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a) a)((a (^y.y))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a) a)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((a (^x.x))(a a))) REDUCED to normal form. ------ 119024/11718552. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)((a a)(^z.z)))) REDUCED to normal form. ------ 119025/11718615. ------ 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)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119026/11718696. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 119027/11718777. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 119028/11718885. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119029/11718894. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 119030/11719002. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 119031/11719029. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119032/11719074. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (b ((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119033/11719227. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a ((a a) a))) REDUCED to normal form. ------ 119034/11719254. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (^y.y))(a b))) REDUCED to normal form. ------ 119035/11719281. ------ 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)(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. ------ 119036/11719488. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 119037/11719533. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119038/11719560. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b) b)) 3. ==[ beta ]==> ((^y.y)((a b) b)) 4. ==[ alpha ]==> ((^x.x)((a b) b)) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 119039/11719974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b)(a a))) 5. ==[ beta ]==> ((^y.(a a))((^z.b)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((^y.b)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119040/11720001. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 119041/11720019. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 119042/11720028. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 119043/11720055. ------ 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 x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 119044/11720082. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 119045/11720127. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119046/11720136. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a b)) REDUCED to normal form. ------ 119047/11720163. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)(^z.z))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 119048/11720307. ------ 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. ------ 119049/11720334. ------ 1. ==[ start ]==> ((((a a) a)(a b))(a (a b))) REDUCED to normal form. ------ 119050/11720361. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a)(a a))) REDUCED to normal form. ------ 119051/11720388. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a (^x1.x1)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 9. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 119052/11720415. ------ 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 a))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((a (a a)) a)) REDUCED to normal form. ------ 119053/11720469. ------ 1. ==[ start ]==> (((a (^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)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 119054/11720496. ------ 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. ------ 119055/11720559. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119056/11720694. ------ 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. ------ 119057/11720838. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b b)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b b)(^y.a)) 6. ==[ alpha ]==> ((b b)(^x.a)) REDUCED to normal form. ------ 119058/11720883. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^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))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 119059/11720910. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(y y)) c)) 5. ==[ beta ]==> ((^y.(y y)) c) 6. ==[ alpha ]==> ((^x.(x x)) c) 7. ==[ beta ]==> (c c) REDUCED to normal form. ------ 119060/11721027. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119061/11721045. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 119062/11721054. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 119063/11721108. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 119064/11721153. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119065/11721162. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^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. ------ 119066/11721189. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 119067/11721216. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 119068/11721252. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (a (a a)))) REDUCED to normal form. ------ 119069/11721279. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.z))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.y))) REDUCED to normal form. ------ 119070/11721306. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(a a))) REDUCED to normal form. ------ 119071/11721333. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(a (^y.y)))) 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. ------ 119072/11721360. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 119073/11721387. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 119074/11721603. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b ((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b ((^y.y) a))) 3. ==[ beta ]==> ((a (b (^x.x)))(b a)) REDUCED to normal form. ------ 119075/11721774. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a 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. ------ 119076/11721918. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (^y.y))) 3. ==[ beta ]==> ((b c)(c (^y.y))) 4. ==[ alpha ]==> ((b c)(c (^x.x))) REDUCED to normal form. ------ 119077/11721945. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 119078/11721990. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 119079/11722017. ------ 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)(^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. ------ 119080/11722053. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 119081/11722071. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a) b)) REDUCED to normal form. ------ 119082/11722080. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 119083/11722152. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.z))) 3. ==[ beta ]==> (b ((a a)(^z.z))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 119084/11722161. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 119085/11722188. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 119086/11723946. ------ 1. ==[ start ]==> ((^a.(^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.((z z)(z z)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119087/11726151. ------ 1. ==[ start ]==> ((^a.(b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> (b (^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119088/11726700. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(b y1))) 3. ==[ eta ]==> ((^x.(^y.(^z.(^x1.x1)))) b) 4. ==[ beta ]==> (^y.(^z.(^x1.x1))) 5. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 119089/11727906. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119090/11728905. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.b))) 3. ==[ beta ]==> (((^y.(^z.b))(^y.(^z.b)))((^y.(^z.b))(^y.(^z.b)))) 4. ==[ alpha ]==> (((^x.(^y.b))(^z.(^x1.b)))((^y1.(^z1.b))(^x2.(^y2.b)))) 5. ==[ beta ]==> ((^y.b)((^y1.(^z1.b))(^x2.(^y2.b)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.b))(^x1.(^y1.b)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119091/11730678. ------ 1. ==[ start ]==> ((^a.b)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(a b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 119092/11730759. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^z.(^x1.x1))(b a))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119093/11730948. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(^x1.a))) 3. ==[ eta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 119094/11731257. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 119095/11731443. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119096/11731977. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((a a)(a a)))) 5. ==[ beta ]==> ((a a)(^y.((a a)(a a)))) 6. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 119097/11732334. ------ 1. ==[ start ]==> ((^a.(^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(a ((a a)(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119098/11732337. ------ 1. ==[ start ]==> ((a (^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.((y y)(y y)))) REDUCED to normal form. ------ 119099/11733003. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 119100/11733336. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a a))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))(^y.((^z.z) b))) 5. ==[ beta ]==> ((a a)(^y.((^z.z) b))) 6. ==[ alpha ]==> ((a a)(^x.((^y.y) b))) 7. ==[ beta ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 119101/11733651. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 119102/11733783. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((^z.b)((^x1.x1)(^y1.y1)))((^z.b)((^x1.x1)(^y1.y1))))(^y.y)) 4. ==[ alpha ]==> ((((^x.b)((^y.y)(^z.z)))((^x1.b)((^y1.y1)(^z1.z1))))(^x2.x2)) 5. ==[ beta ]==> ((b ((^x1.b)((^y1.y1)(^z1.z1))))(^x2.x2)) 6. ==[ alpha ]==> ((b ((^x.b)((^y.y)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> ((b b)(^x1.x1)) 8. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 119103/11734539. ------ 1. ==[ start ]==> ((^a.(b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(b x))(a (^y.(^z.(^x1.x1))))) 3. ==[ eta ]==> (b (a (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119104/11734542. ------ 1. ==[ start ]==> ((a (b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119105/11735088. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(a (b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 119106/11735091. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^a.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(b x1))) 3. ==[ eta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 119107/11735847. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((x x)(^y.y)))) REDUCED to normal form. ------ 119108/11735979. ------ 1. ==[ start ]==> ((^a.(^b.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119109/11736294. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119110/11736297. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 119111/11737107. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.x))) REDUCED to normal form. ------ 119112/11737293. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (^y.b))) 3. ==[ beta ]==> (((a (^y.b))(a (^y.b)))((a (^y.b))(a (^y.b)))) 4. ==[ alpha ]==> (((a (^x.b))(a (^y.b)))((a (^z.b))(a (^x1.b)))) REDUCED to normal form. ------ 119113/11737296. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.b))) REDUCED to normal form. ------ 119114/11738052. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.(^b.(^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. ------ 119115/11738187. ------ 1. ==[ start ]==> (((a b)(a b))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 119116/11738295. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(a (a a)))) REDUCED to normal form. ------ 119117/11738373. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119118/11738934. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 119119/11738961. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.a)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.a)) REDUCED to normal form. ------ 119120/11739063. ------ 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. ------ 119121/11739072. ------ 1. ==[ start ]==> ((a b)((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a b))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 119122/11739090. ------ 1. ==[ start ]==> (((a a)(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 119123/11739117. ------ 1. ==[ start ]==> (((^a.a) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 119124/11739153. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 119125/11739171. ------ 1. ==[ start ]==> (((a a) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119126/11739198. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) a)(^b.b))) 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. ------ 119127/11739306. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 119128/11739342. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 119129/11739558. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 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. ------ 119130/11739585. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 119131/11739621. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((^y.(y y))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.(x x))(b ((a a)(a a)))) 5. ==[ beta ]==> ((b ((a a)(a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 119132/11739648. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 119133/11739684. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a)) b)) 3. ==[ beta ]==> ((a b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 119134/11739702. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z) b)(a (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 7. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 8. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 9. ==[ beta ]==> (b (a (^y.y))) 10. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 119135/11739711. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.b) c)) 2. ==[ alpha ]==> (((a (a a)) a)((^x.x) c)) 3. ==[ beta ]==> (((a (a a)) a) c) REDUCED to normal form. ------ 119136/11739729. ------ 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)))((^x1.x1) a))) 3. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 119137/11739756. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((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. ------ 119138/11739810. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((a a)((a a) a))) REDUCED to normal form. ------ 119139/11739837. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 119140/11739972. ------ 1. ==[ start ]==> (((^a.a)(^b.(^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. ------ 119141/11739999. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 119142/11740062. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(b (^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)(b (^x.(^y.y)))) REDUCED to normal form. ------ 119143/11740089. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> (a ((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 119144/11740116. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 119145/11740143. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 119146/11740170. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.a))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.a))((a a)(^y.a))) REDUCED to normal form. ------ 119147/11740197. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a b)(^z.b))) REDUCED to normal form. ------ 119148/11740224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a) a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a)(^y.(a a))) 8. ==[ alpha ]==> (((a a) a)(^x.(a a))) REDUCED to normal form. ------ 119149/11740260. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 119150/11740287. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))((b a)(b a))) REDUCED to normal form. ------ 119151/11740314. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119152/11740341. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 119153/11740368. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 119154/11740728. ------ 1. ==[ start ]==> ((a (^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(a ((a a)(a a)))) REDUCED to normal form. ------ 119155/11740917. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.b)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.b)(((a a) a)(a b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119156/11740998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(b a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) a)(b a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) a)(b a))) IRREDUCIBLE: cycle. ------ 119157/11741088. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a b) a)(b (^y.y))) 4. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 119158/11741115. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 119159/11741169. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 119160/11741196. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 119161/11741223. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.a))) 5. ==[ beta ]==> ((^y.a)((a b)(^z.a))) 6. ==[ alpha ]==> ((^x.a)((a b)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119162/11741250. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a) a)(^z.b))) REDUCED to normal form. ------ 119163/11741277. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.x))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^z.(a a))) 6. ==[ alpha ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 119164/11741313. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a a)(a b))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 119165/11741340. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.a)(b a))) 3. ==[ beta ]==> (((a (^x.x))((a a) a)) a) REDUCED to normal form. ------ 119166/11741367. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 119167/11741394. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y) b)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x) b)) 5. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 119168/11741421. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^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. ------ 119169/11741448. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 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. ------ 119170/11741466. ------ 1. ==[ start ]==> (((^a.b) b)((b a) c)) 2. ==[ alpha ]==> (((^x.b) b)((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 119171/11741673. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 119172/11741727. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(a ((^z.z) b))) 3. ==[ beta ]==> (((^y.y)(a a))(a ((^z.z) b))) 4. ==[ alpha ]==> (((^x.x)(a a))(a ((^y.y) b))) 5. ==[ beta ]==> ((a a)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 119173/11741736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 119174/11741754. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 119175/11741763. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 119176/11741808. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))((^z1.z1) a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))((^y1.y1) a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((^x1.x1) a))) 10. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((^z.z) a))) 11. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 12. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 13. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 119177/11741817. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 119178/11741889. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 119179/11741988. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(c (^d.a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(c (^y.a))) REDUCED to normal form. ------ 119180/11742015. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a ((a a) a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a ((a a) a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119181/11742042. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a (a a))(^y.y))(a (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(a (^y.y))) REDUCED to normal form. ------ 119182/11742069. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((^z.(^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a a))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 119183/11742114. ------ 1. ==[ start ]==> (((^a.b) c)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b) c)(((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. ------ 119184/11742123. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 119185/11742150. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 119186/11742177. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 119187/11742357. ------ 1. ==[ start ]==> (((a b) c)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b) c)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 119188/11742384. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((b a) b)) 3. ==[ beta ]==> (((a a) b)((b a) b)) REDUCED to normal form. ------ 119189/11742591. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(c ((a a)(^z.z)))) 3. ==[ beta ]==> (b (c ((a a)(^z.z)))) 4. ==[ alpha ]==> (b (c ((a a)(^x.x)))) REDUCED to normal form. ------ 119190/11742654. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 119191/11742933. ------ 1. ==[ start ]==> ((a (b a))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (b a))(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119192/11743167. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 119193/11743275. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a)) c)) 5. ==[ beta ]==> ((a (^x.(a a)))((a a) c)) REDUCED to normal form. ------ 119194/11743482. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(a (b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a (b a))) REDUCED to normal form. ------ 119195/11743716. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 119196/11743761. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119197/11744058. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b) c)) REDUCED to normal form. ------ 119198/11744238. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> (b (a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 119199/11744247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 119200/11744274. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 119201/11744301. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 119202/11744346. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119203/11744373. ------ 1. ==[ start ]==> ((a (^b.b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (^x.x))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 119204/11744418. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (^y.b))) REDUCED to normal form. ------ 119205/11744445. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^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. ------ 119206/11744499. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 6. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 119207/11744526. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(a (^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 119208/11744553. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 119209/11744580. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (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. ------ 119210/11744607. ------ 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 z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) 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)(^x.x)) a)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)((^x1.x1)(^y1.y1)))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)((^z.z)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.z))) 11. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 12. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 119211/11744652. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 119212/11744661. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 119213/11744688. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 119214/11744859. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(c ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(c ((a a) a))) 3. ==[ beta ]==> (b (c ((a a) a))) REDUCED to normal form. ------ 119215/11744967. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(((a a) a)(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119216/11744976. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 119217/11745021. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a (a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y) b)((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a (a a))(a (a a)))) 5. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 119218/11745048. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 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. ------ 119219/11745102. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a a)(a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a a)(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 119220/11745138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(^z.z))) 5. ==[ beta ]==> ((^y.(a a))((a b)(^z.z))) 6. ==[ alpha ]==> ((^x.(a a))((a b)(^y.y))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119221/11745165. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 119222/11745192. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a b)(^x.a))(^z.a)) 6. ==[ alpha ]==> (((a b)(^x.a))(^y.a)) REDUCED to normal form. ------ 119223/11745219. ------ 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))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(z z)))) REDUCED to normal form. ------ 119224/11745246. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 119225/11745300. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(^y1.b))) REDUCED to normal form. ------ 119226/11745327. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b) a)) 3. ==[ beta ]==> ((b (^y.y))((a b) a)) 4. ==[ alpha ]==> ((b (^x.x))((a b) a)) REDUCED to normal form. ------ 119227/11745363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 119228/11745390. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.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. ------ 119229/11745417. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((a (b a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((a (b a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 119230/11745444. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 119231/11745498. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(^y.b))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.b)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.b)) REDUCED to normal form. ------ 119232/11745660. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b (^y.a))) 3. ==[ beta ]==> ((b (a a))(b (^y.a))) 4. ==[ alpha ]==> ((b (a a))(b (^x.a))) REDUCED to normal form. ------ 119233/11745687. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.b))) REDUCED to normal form. ------ 119234/11745966. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(c (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(c (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119235/11746047. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 119236/11746074. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(a (^y.y))) 6. ==[ alpha ]==> ((a (a a))(a (^x.x))) REDUCED to normal form. ------ 119237/11746083. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z)) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(c c)) REDUCED to normal form. ------ 119238/11746128. ------ 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 a)(b a))((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (((b a)(b a))((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 119239/11746191. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119240/11746218. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 119241/11746272. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 119242/11746326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 119243/11746353. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a)) b)) REDUCED to normal form. ------ 119244/11746416. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 119245/11746443. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)(^b.(^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. ------ 119246/11746551. ------ 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. ------ 119247/11746578. ------ 1. ==[ start ]==> (((a b)(a b))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 119248/11746605. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y))(a a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(a a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(a a))) 5. ==[ beta ]==> (((a a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 119249/11746632. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 119250/11746686. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (a a))) REDUCED to normal form. ------ 119251/11746713. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(^x1.x1))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(^z.z))) 5. ==[ beta ]==> ((b (a (^x.x)))((^z.z)(^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.z))) 7. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 8. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 119252/11746740. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 119253/11746767. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 119254/11746857. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119255/11746938. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c b)) 3. ==[ beta ]==> (b (c b)) REDUCED to normal form. ------ 119256/11747046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119257/11747082. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) a)) 3. ==[ beta ]==> ((b c)((^y.a) a)) 4. ==[ alpha ]==> ((b c)((^x.a) a)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 119258/11747109. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) b)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 119259/11747154. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c a)) 3. ==[ beta ]==> ((b (^y.y))(c a)) 4. ==[ alpha ]==> ((b (^x.x))(c a)) REDUCED to normal form. ------ 119260/11747181. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b b)) 3. ==[ beta ]==> ((^y.y)(b b)) 4. ==[ alpha ]==> ((^x.x)(b b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119261/11747217. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) a)) REDUCED to normal form. ------ 119262/11747235. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (a a))) REDUCED to normal form. ------ 119263/11747244. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 119264/11747316. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b a)) 3. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 119265/11747325. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 119266/11747352. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a) a)) 3. ==[ beta ]==> (((a a)(^y.b))((a a) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((a a) a)) REDUCED to normal form. ------ 119267/11747405. ------ 1. ==[ start ]==> (^a.((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (^x.((b x)(^y.(^z.z)))) REDUCED to normal form. ------ 119268/11747406. ------ 1. ==[ start ]==> (a ((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 119269/11747661. ------ 1. ==[ start ]==> ((^a.(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (^x.(^y.(y (^z.z)))) REDUCED to normal form. ------ 119270/11749119. ------ 1. ==[ start ]==> ((^a.(^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119271/11753079. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119272/11755806. ------ 1. ==[ start ]==> ((^a.a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(^y.(^z.z))) 4. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 119273/11755860. ------ 1. ==[ start ]==> ((^a.b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 119274/11755896. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119275/11756058. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (^x.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 119276/11756061. ------ 1. ==[ start ]==> ((a (^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 119277/11756130. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) b) c)) 3. ==[ eta ]==> ((^y.y)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 119278/11757183. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((^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)) REDUCED to normal form. ------ 119279/11757516. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119280/11757519. ------ 1. ==[ start ]==> ((a (^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 119281/11757852. ------ 1. ==[ start ]==> ((((a a) a) b)(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)(^x.((^y.y) b))) 3. ==[ beta ]==> ((((a a) a) b)(^x.b)) REDUCED to normal form. ------ 119282/11757870. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (b (^z.(^x1.(z z)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 119283/11758083. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))((^y1.y1)(a a)))((^z.(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^y1.(^z1.z1))((^x2.x2)(a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))((^y1.y1)(a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))((^y1.y1)(a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119284/11758518. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(^b.(^b.b))) 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. ------ 119285/11758527. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 119286/11758965. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a b)(^z.(^x1.x1)))((a b)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((a b)(^x.(^y.y)))((a b)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 119287/11759139. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 119288/11759445. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(z (^x1.(^y1.y1))))) REDUCED to normal form. ------ 119289/11760003. ------ 1. ==[ start ]==> (((^a.a)(b a))(^b.(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(y a))) 3. ==[ beta ]==> ((b a)(^y.(y a))) 4. ==[ alpha ]==> ((b a)(^x.(x a))) REDUCED to normal form. ------ 119290/11760558. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x1.x1))(^y1.y1))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 119291/11761029. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 119292/11761038. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 119293/11761476. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119294/11761479. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(a a)))) REDUCED to normal form. ------ 119295/11761488. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 119296/11762649. ------ 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. ------ 119297/11762820. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((x x) x))) REDUCED to normal form. ------ 119298/11763108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(^b.((^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. ------ 119299/11763555. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z)) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119300/11763873. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z) y))) 3. ==[ eta ]==> ((((^x.x) b) c)(^z.z)) 4. ==[ alpha ]==> ((((^x.x) b) c)(^y.y)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 119301/11763945. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^b.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. ------ 119302/11764008. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.c)) 3. ==[ beta ]==> ((a (^y.y))(^z.c)) 4. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 119303/11764107. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 119304/11764143. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 119305/11764209. ------ 1. ==[ start ]==> ((a a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 119306/11764263. ------ 1. ==[ start ]==> ((a b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> ((a b)((a a)(^y.b))) 4. ==[ alpha ]==> ((a b)((a a)(^x.b))) REDUCED to normal form. ------ 119307/11764272. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 119308/11764299. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 119309/11764353. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119310/11764380. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 119311/11764407. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 119312/11764434. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119313/11764461. ------ 1. ==[ start ]==> ((a (^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (^x.a))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.y))) REDUCED to normal form. ------ 119314/11764479. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b (^y.y)) a)) REDUCED to normal form. ------ 119315/11764506. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(a a)) b)) REDUCED to normal form. ------ 119316/11764533. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) c)) 3. ==[ beta ]==> ((a a)(((^y.y) b) c)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 119317/11764542. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(^z.a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 119318/11764569. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119319/11764650. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119320/11764875. ------ 1. ==[ start ]==> ((((^a.a) a) b)(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a) b)(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 119321/11764902. ------ 1. ==[ start ]==> (((a (a a)) a)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(((^x.x) 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. ------ 119322/11764929. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 119323/11764956. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((b a)(a (a a)))) REDUCED to normal form. ------ 119324/11764983. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 119325/11765010. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 119326/11765118. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (a a))(b a))) 3. ==[ beta ]==> ((b b)((a (a a))(b a))) REDUCED to normal form. ------ 119327/11765163. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(c (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119328/11765190. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(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. ------ 119329/11765298. ------ 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)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119330/11765379. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 119331/11765505. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 119332/11765532. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 119333/11765586. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(a a)) a)) REDUCED to normal form. ------ 119334/11765622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119335/11765757. ------ 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. ------ 119336/11765901. ------ 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. ------ 119337/11765919. ------ 1. ==[ start ]==> ((a (^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b))(^z.(a a))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a a))) REDUCED to normal form. ------ 119338/11765964. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.b) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 119339/11766090. ------ 1. ==[ start ]==> (((^a.b) a)((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) a)((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 119340/11766252. ------ 1. ==[ start ]==> ((((a a) a) b)((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) b)((a a)((^x.x) b))) 3. ==[ beta ]==> ((((a a) a) b)((a a) b)) REDUCED to normal form. ------ 119341/11766270. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> (b (a (^z.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 119342/11766297. ------ 1. ==[ start ]==> (((^a.a)(a b))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(a a))) 3. ==[ beta ]==> ((a b)((^y.y)(a a))) 4. ==[ alpha ]==> ((a b)((^x.x)(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 119343/11766324. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (^x1.x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119344/11766459. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119345/11766486. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119346/11766504. ------ 1. ==[ start ]==> (((a a)(a b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 119347/11766558. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 119348/11766585. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.x))) REDUCED to normal form. ------ 119349/11766612. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b) a)) 5. ==[ beta ]==> (((^y.y) a)(((^z.z) b) a)) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) a)) 7. ==[ beta ]==> (a (((^y.y) b) a)) 8. ==[ alpha ]==> (a (((^x.x) b) a)) 9. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 119350/11766639. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.(^z.z))) b)) REDUCED to normal form. ------ 119351/11766666. ------ 1. ==[ start ]==> (((a b)(a a))((b a) c)) REDUCED to normal form. ------ 119352/11766702. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119353/11766729. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119354/11766783. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.b))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 7. ==[ beta ]==> ((^y.a)(^z.b)) 8. ==[ alpha ]==> ((^x.a)(^y.b)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 119355/11766873. ------ 1. ==[ start ]==> (((a b) b)(c (b a))) REDUCED to normal form. ------ 119356/11766900. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a) a)(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a) a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 119357/11766918. ------ 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))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 119358/11766927. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a b)) REDUCED to normal form. ------ 119359/11766954. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 119360/11767008. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 119361/11767035. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((^x1.x1)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((^z.z)(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(y y))(((^z.z)(a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(x x))(((^y.y)(a a))(a (a a)))) 7. ==[ beta ]==> ((((^y.y)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 8. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(a a))(a (a a)))) 9. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(a a))(a (a a)))) 10. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))(a (a a)))) 11. ==[ beta ]==> (((a a)(a (a a)))((a a)(a (a a)))) REDUCED to normal form. ------ 119362/11767062. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a b)(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 119363/11767089. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 119364/11767116. ------ 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))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 119365/11767260. ------ 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.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (a a))((a (^y.(^z.z)))(^x1.x1))) 6. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 119366/11767287. ------ 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. ------ 119367/11767314. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 119368/11767341. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 119369/11767368. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 119370/11767404. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119371/11767539. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 119372/11767647. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(a 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. ------ 119373/11767782. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119374/11767791. ------ 1. ==[ start ]==> (((a b)(^b.a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(c ((a a)(^y.y)))) REDUCED to normal form. ------ 119375/11767818. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (b a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (b a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (b a))) REDUCED to normal form. ------ 119376/11767845. ------ 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))))) REDUCED to normal form. ------ 119377/11768214. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(a a))((^x1.x1) a))) 5. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 6. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 119378/11768295. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119379/11768403. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.y)(b a))) 3. ==[ beta ]==> ((b a)((^y.y)(b a))) 4. ==[ alpha ]==> ((b a)((^x.x)(b a))) 5. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 119380/11768484. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(a a))(^y.a))) 5. ==[ beta ]==> (((a b)(a b))(a a)) REDUCED to normal form. ------ 119381/11768565. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119382/11768745. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a)) c)) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a)) c)) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a)) c)) 5. ==[ beta ]==> ((a (a a))((^y.(a a)) c)) 6. ==[ alpha ]==> ((a (a a))((^x.(a a)) c)) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 119383/11768961. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 119384/11769051. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.a)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.a)(a (a a)))) 5. ==[ beta ]==> ((a a)((^z.a)(a (a a)))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (a a)))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119385/11769132. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a b))) 3. ==[ beta ]==> (b ((^x1.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119386/11769240. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119387/11769267. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 119388/11769294. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119389/11769384. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(c (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(c (a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(c (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(c (a b))) 5. ==[ beta ]==> ((^y.b)(c (a b))) 6. ==[ alpha ]==> ((^x.b)(c (a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119390/11769429. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 119391/11769438. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 119392/11769465. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 119393/11769492. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b)(a (^z.z)))) REDUCED to normal form. ------ 119394/11769546. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.x1)(a (a a)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a (a a))) REDUCED to normal form. ------ 119395/11769690. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.z))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.y))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 119396/11769717. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 119397/11769744. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)(^z.a))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)(^z.a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.a))) REDUCED to normal form. ------ 119398/11769771. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(^y.(y y)))) 7. ==[ beta ]==> (((a a)(a (a a)))(^y.(y y))) 8. ==[ alpha ]==> (((a a)(a (a a)))(^x.(x x))) REDUCED to normal form. ------ 119399/11769798. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (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. ------ 119400/11769852. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(^x1.b))) REDUCED to normal form. ------ 119401/11769879. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)(^y.(a a)))) 3. ==[ beta ]==> ((a b)((a a)(^y.(a a)))) 4. ==[ alpha ]==> ((a b)((a a)(^x.(a a)))) REDUCED to normal form. ------ 119402/11769888. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.a)((^a.a)(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. ------ 119403/11769915. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)((^z1.(a a))(^x2.x2))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119404/11770050. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119405/11770167. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 119406/11770194. ------ 1. ==[ start ]==> ((((^a.a) b) a)(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b a)((^y.y)((^z.z) a))) 6. ==[ alpha ]==> ((b a)((^x.x)((^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. ------ 119407/11770221. ------ 1. ==[ start ]==> (((a a)(^b.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 119408/11770248. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 119409/11770293. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (^z.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (^z.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 119410/11770374. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119411/11770482. ------ 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.(^z1.z1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119412/11770554. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((a a) a) b)) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((a a) a) b)) 3. ==[ beta ]==> (((a a) b)(((a a) a) b)) REDUCED to normal form. ------ 119413/11770716. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b) a)) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b) a)) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 119414/11770770. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z)) c)) 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. ------ 119415/11770914. ------ 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)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119416/11771049. ------ 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. ------ 119417/11771157. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119418/11771193. ------ 1. ==[ start ]==> ((((^a.a) b) b)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b b)(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b b)(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b b)(b (^y.y))) 6. ==[ alpha ]==> ((b b)(b (^x.x))) REDUCED to normal form. ------ 119419/11771220. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(a ((a a) a))) REDUCED to normal form. ------ 119420/11771274. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(a (^z.z)))) REDUCED to normal form. ------ 119421/11771301. ------ 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.y1) a)((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1) a)((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a ((^y1.y1) a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((^x1.x1) a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 119422/11771319. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (^y.(y y)))) 3. ==[ beta ]==> (((b a)(b a))(c (^y.(y y)))) 4. ==[ alpha ]==> (((b a)(b a))(c (^x.(x x)))) REDUCED to normal form. ------ 119423/11771400. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119424/11771463. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c d)) REDUCED to normal form. ------ 119425/11771508. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.y1)((^z1.z1)(^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. ------ 119426/11771661. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^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. ------ 119427/11771688. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x)) b)) 3. ==[ beta ]==> (((a (a a))(b a))(b b)) REDUCED to normal form. ------ 119428/11771715. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a) c)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a) c)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 119429/11771796. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((a (a a))(^y.y))) 3. ==[ beta ]==> (((a a)((a a) a))((a (a a))(^y.y))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (a a))(^x.x))) REDUCED to normal form. ------ 119430/11771823. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 119431/11771877. ------ 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)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(z z)))) REDUCED to normal form. ------ 119432/11771904. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 119433/11771931. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a b)) REDUCED to normal form. ------ 119434/11771958. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a)) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y)) c)) REDUCED to normal form. ------ 119435/11772129. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a 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. ------ 119436/11772237. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119437/11772273. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a ((^y.y) a))) 3. ==[ beta ]==> ((b c)(a ((^y.y) a))) 4. ==[ alpha ]==> ((b c)(a ((^x.x) a))) 5. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 119438/11772300. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(a a))) REDUCED to normal form. ------ 119439/11772345. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^b.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. ------ 119440/11772372. ------ 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))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(a a)) 6. ==[ alpha ]==> ((^x.(^y.y))(a a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119441/11772408. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a c)) 3. ==[ beta ]==> ((a (^y.y))(a c)) 4. ==[ alpha ]==> ((a (^x.x))(a c)) REDUCED to normal form. ------ 119442/11772426. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.x2))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 119443/11772435. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (a a))) REDUCED to normal form. ------ 119444/11772507. ------ 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 (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 119445/11772516. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b a)) REDUCED to normal form. ------ 119446/11772543. ------ 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)) REDUCED to normal form. ------ 119447/11772861. ------ 1. ==[ start ]==> ((^a.(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 119448/11776524. ------ 1. ==[ start ]==> ((^a.(b a))(^c.(b a))) 2. ==[ alpha ]==> ((^x.(b x))(^y.(b a))) 3. ==[ eta ]==> (b (^y.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 119449/11781024. ------ 1. ==[ start ]==> ((^a.(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119450/11781105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119451/11781270. ------ 1. ==[ start ]==> ((a (^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 119452/11781960. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.(^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. ------ 119453/11782746. ------ 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. ------ 119454/11782905. ------ 1. ==[ start ]==> ((^a.(a b))((a b)((a a) a))) 2. ==[ alpha ]==> ((^x.(x b))((a b)((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 119455/11783088. ------ 1. ==[ start ]==> (((a b) a)(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)(^x.(^y.(x x)))) REDUCED to normal form. ------ 119456/11783292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.((((^z.z)(^x1.x1))(^y1.(a a)))(((^z.z)(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> (^x.((((^y.y)(^z.z))(^x1.(a a)))(((^y1.y1)(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> (^x.(((^z.z)(^x1.(a a)))(((^y1.y1)(^z1.z1))(^x2.(a a))))) 6. ==[ alpha ]==> (^x.(((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a))))) 7. ==[ beta ]==> (^x.((^z.(a a))(((^x1.x1)(^y1.y1))(^z1.(a a))))) 8. ==[ alpha ]==> (^x.((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a))))) 9. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 119457/11783736. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 119458/11784348. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119459/11784357. ------ 1. ==[ start ]==> (((a b) c)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 119460/11784654. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 119461/11784930. ------ 1. ==[ start ]==> ((^a.(b a))((a a)(b a))) 2. ==[ alpha ]==> ((^x.(b x))((a a)(b a))) 3. ==[ eta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 119462/11784933. ------ 1. ==[ start ]==> ((a (b a))(^c.(b a))) 2. ==[ alpha ]==> ((a (b a))(^x.(b a))) REDUCED to normal form. ------ 119463/11785212. ------ 1. ==[ start ]==> (((^a.a)(b a))(^c.(^d.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. ------ 119464/11785500. ------ 1. ==[ start ]==> (((a a)(b a))(^a.(b a))) 2. ==[ alpha ]==> (((a a)(b a))(^x.(b x))) 3. ==[ eta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 119465/11786247. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 119466/11786697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^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. ------ 119467/11787138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119468/11787327. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(a z))) 3. ==[ eta ]==> ((((^x.x) b)(^y.y)) a) 4. ==[ beta ]==> ((b (^y.y)) a) 5. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 119469/11787525. ------ 1. ==[ start ]==> (((a b)((a a) a))(^a.(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(x b))) REDUCED to normal form. ------ 119470/11787684. ------ 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. ------ 119471/11787858. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 119472/11788029. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.(^y.a))) REDUCED to normal form. ------ 119473/11788191. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 119474/11788326. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^b.((^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))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 119475/11788470. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.((^y1.y1)(^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. ------ 119476/11788578. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(a (a a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(a (a a)))) REDUCED to normal form. ------ 119477/11788764. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (a (^z.z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119478/11789082. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 119479/11789154. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.c)) 3. ==[ beta ]==> ((b (^y.y))(^z.c)) 4. ==[ alpha ]==> ((b (^x.x))(^y.c)) REDUCED to normal form. ------ 119480/11789217. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 119481/11789316. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119482/11789325. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 119483/11789352. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 119484/11789436. ------ 1. ==[ start ]==> ((a (^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 119485/11789490. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a a)(^y.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 119486/11789499. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 119487/11789517. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 119488/11789526. ------ 1. ==[ start ]==> (((^a.a) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119489/11789580. ------ 1. ==[ start ]==> (((a a) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 119490/11789598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 119491/11789607. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 119492/11789625. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) a)(^b.b))) 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. ------ 119493/11789634. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 119494/11789661. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 119495/11789760. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b) c)) 3. ==[ beta ]==> ((^y.a)(((^z.z) b) c)) 4. ==[ alpha ]==> ((^x.a)(((^y.y) b) c)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 119496/11789796. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 119497/11789850. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 119498/11789877. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 119499/11789904. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 119500/11790012. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.a)(^z.z))) 3. ==[ beta ]==> ((a a)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a a)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119501/11790138. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.y) c)) 3. ==[ beta ]==> ((a (a a))((^y.y) c)) 4. ==[ alpha ]==> ((a (a a))((^x.x) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 119502/11790264. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a b)(a b))) REDUCED to normal form. ------ 119503/11790291. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a) a)(a a))) REDUCED to normal form. ------ 119504/11790318. ------ 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 (^x.x)))((^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. ------ 119505/11790345. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (a a))(b a))) REDUCED to normal form. ------ 119506/11790372. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 119507/11790462. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a))(^y1.y1))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 119508/11790471. ------ 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 a)) REDUCED to normal form. ------ 119509/11790498. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(a (^y.y)))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 119510/11790516. ------ 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)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 119511/11790525. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 119512/11790543. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 119513/11790579. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.a))(^z.z)) 6. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 119514/11790606. ------ 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. ------ 119515/11790633. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a b))) 5. ==[ beta ]==> ((^y.y)((^z.b)(a b))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(a b))) 7. ==[ beta ]==> ((^y.b)(a b)) 8. ==[ alpha ]==> ((^x.b)(a b)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 119516/11790840. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119517/11790930. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119518/11790957. ------ 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. ------ 119519/11791011. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 119520/11791038. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 119521/11791092. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119522/11791119. ------ 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. ------ 119523/11791155. ------ 1. ==[ start ]==> (((a a)((a a) a))(a ((a a)(a a)))) REDUCED to normal form. ------ 119524/11791182. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z) b)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b (a a))) REDUCED to normal form. ------ 119525/11791209. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (a a)))((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (a a)))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 119526/11791236. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((b a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a)) a)((b a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a)) a)((b a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a)) a)((b a) a)) REDUCED to normal form. ------ 119527/11791263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((a a)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((a a)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((a a)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 119528/11791290. ------ 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. ------ 119529/11791317. ------ 1. ==[ start ]==> ((a (a b))((a b)((a a) a))) REDUCED to normal form. ------ 119530/11791470. ------ 1. ==[ start ]==> ((((a a) a) b)(b (^b.b))) 2. ==[ alpha ]==> ((((a a) a) b)(b (^x.x))) REDUCED to normal form. ------ 119531/11791497. ------ 1. ==[ start ]==> (((a b) a)(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b) a)(a (^x.(a a)))) REDUCED to normal form. ------ 119532/11791515. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a b)(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.y))) 5. ==[ beta ]==> ((a b)(b (^y.y))) 6. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 119533/11791524. ------ 1. ==[ start ]==> (((a a)(^a.b))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 119534/11791542. ------ 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.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 119535/11791596. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 119536/11791632. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119537/11791659. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 119538/11791677. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a) a)(^y.b))) 3. ==[ beta ]==> (b (((a a) a)(^y.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 119539/11791686. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.a)(a b))) 3. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 119540/11791704. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 119541/11791875. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 119542/11792118. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 119543/11792145. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119544/11792163. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z) a)) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119545/11792370. ------ 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)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 119546/11792397. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 119547/11792424. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.y))(b a))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(b a))) REDUCED to normal form. ------ 119548/11792451. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 119549/11792523. ------ 1. ==[ start ]==> (((^a.b) c)((^d.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119550/11792622. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 119551/11792757. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119552/11792766. ------ 1. ==[ start ]==> (((a b) c)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((^x.x)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) c)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 119553/11792793. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 119554/11792874. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a a)) REDUCED to normal form. ------ 119555/11792901. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 119556/11792955. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119557/11792982. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 119558/11793009. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 119559/11793063. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 119560/11793099. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((b a)(a a))) REDUCED to normal form. ------ 119561/11793126. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(((a a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 119562/11793153. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((^y.y)(a a))((^z.z) a))) 3. ==[ beta ]==> ((a (a b))(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a b))((a a)((^y.y) a))) 6. ==[ alpha ]==> ((a (a b))((a a)((^x.x) a))) 7. ==[ beta ]==> ((a (a b))((a a) a)) REDUCED to normal form. ------ 119563/11793180. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((a b)(a (a a)))) REDUCED to normal form. ------ 119564/11793207. ------ 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 a) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) a)(^y.y)) 12. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 119565/11793234. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)((a a) a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 119566/11793261. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a (a a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a (a a))(a b))) 3. ==[ beta ]==> (((a b) a)((a (a a))(a b))) REDUCED to normal form. ------ 119567/11793288. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z) a)((^x1.x1)(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. ------ 119568/11793315. ------ 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)))) REDUCED to normal form. ------ 119569/11793342. ------ 1. ==[ start ]==> ((a (b a))((a a)(b a))) REDUCED to normal form. ------ 119570/11793432. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(a a))(^x1.a))) 5. ==[ beta ]==> (b (((^z.z)(a a))(^x1.a))) 6. ==[ alpha ]==> (b (((^x.x)(a a))(^y.a))) 7. ==[ beta ]==> (b ((a a)(^y.a))) 8. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 119571/11793513. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (b ((^y.y)(^z.a))) 6. ==[ alpha ]==> (b ((^x.x)(^y.a))) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 119572/11793576. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 119573/11793648. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((b a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((b a) a)) 3. ==[ beta ]==> ((^y.y)((b a) a)) 4. ==[ alpha ]==> ((^x.x)((b a) a)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 119574/11793684. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119575/11793702. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(a a)) c)) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(a a)) c)) 5. ==[ beta ]==> (((a b)(a b))((a a) c)) REDUCED to normal form. ------ 119576/11793711. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a a)) REDUCED to normal form. ------ 119577/11793765. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 119578/11793792. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 119579/11793819. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a)(^x.a))((^z.b)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 119580/11793846. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 119581/11793909. ------ 1. ==[ start ]==> (((a a)(b a))(a (b a))) REDUCED to normal form. ------ 119582/11793936. ------ 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))) REDUCED to normal form. ------ 119583/11793963. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y)(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 (a a))(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a (a a))((a a)(a (^y.y)))) 8. ==[ alpha ]==> ((a (a a))((a a)(a (^x.x)))) REDUCED to normal form. ------ 119584/11793990. ------ 1. ==[ start ]==> (((a (a a))(a b))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a b))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(a b))((a b) a)) REDUCED to normal form. ------ 119585/11794017. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 119586/11794044. ------ 1. ==[ start ]==> ((((a 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)(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 10. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 119587/11794071. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a (a a))((a a) a))) REDUCED to normal form. ------ 119588/11794098. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) a)(a b))) 5. ==[ beta ]==> (((a a) a)(((^y.y) a)(a b))) 6. ==[ alpha ]==> (((a a) a)(((^x.x) a)(a b))) 7. ==[ beta ]==> (((a a) a)(a (a b))) REDUCED to normal form. ------ 119589/11794125. ------ 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)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a (^z.z))(a a))) REDUCED to normal form. ------ 119590/11794188. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119591/11794269. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^z.(z z)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 119592/11794350. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (b (((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.b))) 5. ==[ beta ]==> (b (a (^y.b))) 6. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 119593/11794458. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119594/11794467. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 119595/11794485. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 119596/11794494. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 119597/11794575. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 119598/11794602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.b))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.b))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119599/11794656. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 119600/11794800. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a (a a))(^z.z))) REDUCED to normal form. ------ 119601/11794827. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(a ((a a) a))) REDUCED to normal form. ------ 119602/11794854. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (^z.z))(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(a b))) REDUCED to normal form. ------ 119603/11794881. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 119604/11795061. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 119605/11795106. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 119606/11795133. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((^z1.z1)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a)) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) a)) 5. ==[ beta ]==> (((^y.y)(a a)) a) 6. ==[ alpha ]==> (((^x.x)(a a)) a) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119607/11795376. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119608/11795547. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a (^z.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (^z.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(a (^y.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119609/11795574. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b)(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 119610/11795592. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 119611/11795601. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 119612/11795628. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 119613/11795655. ------ 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 z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 119614/11795709. ------ 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.(^z1.z1))((a 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. ------ 119615/11795736. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.z)(a b))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(a b))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(a b))) 5. ==[ beta ]==> ((b (^x.x))(a b)) REDUCED to normal form. ------ 119616/11795907. ------ 1. ==[ start ]==> ((((a a) a)(a b))(b ((a a) a))) REDUCED to normal form. ------ 119617/11795934. ------ 1. ==[ start ]==> (((a b)((a a) a))(a (a b))) REDUCED to normal form. ------ 119618/11795961. ------ 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. ------ 119619/11795988. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a (^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 119620/11796042. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a (a a)))) REDUCED to normal form. ------ 119621/11796069. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((a (^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a a))((a (^x.x))(^z.z))) 6. ==[ alpha ]==> ((b (a a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 119622/11796096. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a a)((a a) a))) REDUCED to normal form. ------ 119623/11796132. ------ 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. ------ 119624/11796267. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(^z.a))) 3. ==[ beta ]==> (b ((a a)(^z.a))) 4. ==[ alpha ]==> (b ((a a)(^x.a))) REDUCED to normal form. ------ 119625/11796411. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 119626/11796483. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119627/11796600. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 119628/11796618. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.z))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119629/11796627. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^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. ------ 119630/11796681. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 119631/11796726. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)(^b.(^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. ------ 119632/11796735. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 119633/11796762. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^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. ------ 119634/11796789. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 119635/11796852. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(b (a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(b (a (a a)))) REDUCED to normal form. ------ 119636/11796879. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 119637/11796906. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a))(a a))) REDUCED to normal form. ------ 119638/11796933. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 119639/11796960. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(a a))((a (^x.x)) a)) REDUCED to normal form. ------ 119640/11796987. ------ 1. ==[ start ]==> (((a b)(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 119641/11797176. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (a (^y.y)))) REDUCED to normal form. ------ 119642/11797266. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119643/11797347. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.y))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 119644/11797455. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119645/11797491. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)(^z.a))) 3. ==[ beta ]==> ((b c)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((b c)((^x.x)(^y.a))) 5. ==[ beta ]==> ((b c)(^y.a)) 6. ==[ alpha ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 119646/11797518. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (^x.x))) REDUCED to normal form. ------ 119647/11797563. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((b (^y.y))((^z.z) c)) 4. ==[ alpha ]==> ((b (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((b (^x.x)) c) REDUCED to normal form. ------ 119648/11797590. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 119649/11797626. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(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. ------ 119650/11797644. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1)) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1)) a)) REDUCED to normal form. ------ 119651/11797653. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 119652/11797725. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z) b)) 3. ==[ beta ]==> (b ((^z.z) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119653/11797734. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 119654/11797761. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 119655/11797832. ------ 1. ==[ start ]==> (^a.((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(x (x x)))) 3. ==[ beta ]==> (^x.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 119656/11797833. ------ 1. ==[ start ]==> (a ((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (a (^y.(^z.z))) 4. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 119657/11799213. ------ 1. ==[ start ]==> ((^a.((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(^y.((a a)(a a)))) 3. ==[ beta ]==> (((^y.((a a)(a a)))(^y.((a a)(a a))))(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.((a a)(a a)))(^y.((a a)(a a))))(^z.((a a)(a a)))) 5. ==[ beta ]==> (((a a)(a a))(^z.((a a)(a a)))) 6. ==[ alpha ]==> (((a a)(a a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 119658/11806245. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a))) a) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a))) a) 3. ==[ beta ]==> ((^y.(^z.z)) a) 4. ==[ alpha ]==> ((^x.(^y.y)) a) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119659/11806251. ------ 1. ==[ start ]==> ((^a.a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119660/11806305. ------ 1. ==[ start ]==> ((^a.b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 119661/11806524. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 119662/11806845. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((^y.a)(^z.z))(((^y.a)(^z.z))((^y.a)(^z.z)))) 4. ==[ alpha ]==> (((^x.a)(^y.y))(((^z.a)(^x1.x1))((^y1.a)(^z1.z1)))) 5. ==[ beta ]==> (a (((^z.a)(^x1.x1))((^y1.a)(^z1.z1)))) 6. ==[ alpha ]==> (a (((^x.a)(^y.y))((^z.a)(^x1.x1)))) 7. ==[ beta ]==> (a (a ((^z.a)(^x1.x1)))) 8. ==[ alpha ]==> (a (a ((^x.a)(^y.y)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 119663/11807070. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119664/11807628. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y)((a a)(a a)))((^y.y)((a a)(a a))))((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x)((a a)(a a)))((^y.y)((a a)(a a))))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((((a a)(a a))((^y.y)((a a)(a a))))((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((((a a)(a a))((^x.x)((a a)(a a))))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((^y.y)((a a)(a a)))) 8. ==[ alpha ]==> ((((a a)(a a))((a a)(a a)))((^x.x)((a a)(a a)))) 9. ==[ beta ]==> ((((a a)(a a))((a a)(a a)))((a a)(a a))) REDUCED to normal form. ------ 119665/11807631. ------ 1. ==[ start ]==> ((a ((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(^x.((a a)(a a)))) REDUCED to normal form. ------ 119666/11807961. ------ 1. ==[ start ]==> ((^a.(^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.b))(b ((^z.z) b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119667/11807982. ------ 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. ------ 119668/11808315. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 119669/11808657. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z) 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. ------ 119670/11808990. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 5. ==[ beta ]==> (^y.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 119671/11809305. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 119672/11809410. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> ((((^z.(a a))(a (a a)))((^z.(a a))(a (a a))))(^y.y)) 4. ==[ alpha ]==> ((((^x.(a a))(a (a a)))((^y.(a a))(a (a a))))(^z.z)) 5. ==[ beta ]==> (((a a)((^y.(a a))(a (a a))))(^z.z)) 6. ==[ alpha ]==> (((a a)((^x.(a a))(a (a a))))(^y.y)) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 119673/11809593. ------ 1. ==[ start ]==> (((a b) c)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119674/11810715. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(b ((a a)(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 119675/11811606. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119676/11811735. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 119677/11811921. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119678/11812563. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.b))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.b))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.b))) REDUCED to normal form. ------ 119679/11812761. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.x))) REDUCED to normal form. ------ 119680/11812920. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b (^y.a))) 3. ==[ beta ]==> (((b (^y.a))(b (^y.a)))((b (^y.a))(b (^y.a)))) 4. ==[ alpha ]==> (((b (^x.a))(b (^y.a)))((b (^z.a))(b (^x1.a)))) REDUCED to normal form. ------ 119681/11813283. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((y y) y))) 3. ==[ beta ]==> (((a a)(a a))(^y.((y y) y))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((x x) x))) REDUCED to normal form. ------ 119682/11813562. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 119683/11813706. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.(^b.(^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. ------ 119684/11813841. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.(^b.(^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. ------ 119685/11813949. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 119686/11814000. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119687/11814318. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.y)) 3. ==[ beta ]==> ((b c)(^y.y)) 4. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 119688/11814390. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 119689/11814453. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 119690/11814552. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a a))) 3. ==[ beta ]==> (b (^z.(a a))) 4. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 119691/11814561. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 119692/11814588. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 119693/11814660. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119694/11814672. ------ 1. ==[ start ]==> ((a a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a a)(^y.(^z.z))) 4. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 119695/11814690. ------ 1. ==[ start ]==> (((^a.a) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (a ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (a ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 119696/11814726. ------ 1. ==[ start ]==> ((a b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a b)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((a b)(^y.y)) 4. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 119697/11814744. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(^x.x))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 119698/11814771. ------ 1. ==[ start ]==> (((^a.a) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a b)(^y.(a a)))) 3. ==[ beta ]==> (b ((a b)(^y.(a a)))) 4. ==[ alpha ]==> (b ((a b)(^x.(a a)))) REDUCED to normal form. ------ 119699/11814780. ------ 1. ==[ start ]==> (((a a)(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 119700/11814852. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119701/11814879. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) a)(^b.b))) 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. ------ 119702/11814942. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 119703/11814960. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 119704/11815239. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 119705/11815266. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> ((a (a (a a))) a) REDUCED to normal form. ------ 119706/11815302. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(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. ------ 119707/11815356. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(^y.y))(((a a)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(a a))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 7. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 119708/11815383. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((a (a a))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((a (a a))(b (a (^y.y)))) 6. ==[ alpha ]==> ((a (a a))(b (a (^x.x)))) REDUCED to normal form. ------ 119709/11815392. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.y) c)) 3. ==[ beta ]==> (((a a)(^x.(x x))) c) REDUCED to normal form. ------ 119710/11815410. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 119711/11815464. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^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)(^x.x))(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 119712/11815491. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a a)((a a) a))) REDUCED to normal form. ------ 119713/11815626. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119714/11815653. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1) 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. ------ 119715/11815716. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 119716/11815743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> (a (b (^y.(^z.z)))) 8. ==[ alpha ]==> (a (b (^x.(^y.y)))) REDUCED to normal form. ------ 119717/11815770. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 119718/11815797. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 119719/11815824. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 119720/11815878. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a b)(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.b))) 5. ==[ beta ]==> ((^y.y)((a b)(^z.b))) 6. ==[ alpha ]==> ((^x.x)((a b)(^y.b))) 7. ==[ beta ]==> ((a b)(^y.b)) 8. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 119721/11815941. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.y)) REDUCED to normal form. ------ 119722/11815968. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(z z))(b a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(z z))(b a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 7. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 119723/11815995. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) a) REDUCED to normal form. ------ 119724/11816022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 119725/11816049. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a a)(a a))) REDUCED to normal form. ------ 119726/11816382. ------ 1. ==[ start ]==> ((a (^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.b))(b ((^y.y) b))) 3. ==[ beta ]==> ((a (^x.b))(b b)) REDUCED to normal form. ------ 119727/11816571. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.b)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.b)((a b)((a a) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119728/11816652. ------ 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))((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (a a))((a a)(^z.z)))) IRREDUCIBLE: cycle. ------ 119729/11816733. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a a)((^z.z) b))) 3. ==[ beta ]==> (b ((a a)((^z.z) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 119730/11816769. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.b))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 119731/11816823. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.a))) REDUCED to normal form. ------ 119732/11816850. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 119733/11816877. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119734/11816904. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 119735/11816931. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 119736/11816967. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 119737/11816994. ------ 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))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 119738/11817021. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.a)(b a))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(b a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(b a))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 119739/11817048. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.x)) REDUCED to normal form. ------ 119740/11817075. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) b))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) b))) 7. ==[ beta ]==> (a ((^y.y)((^z.z) b))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y) b))) 9. ==[ beta ]==> (a ((^y.y) b)) 10. ==[ alpha ]==> (a ((^x.x) b)) 11. ==[ beta ]==> (a b) REDUCED to normal form. ------ 119741/11817102. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 119742/11817120. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.(^z.z))) b)) 3. ==[ beta ]==> (b ((a (^y.(^z.z))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 119743/11817129. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 119744/11817381. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a a))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(b (a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(b (a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 119745/11817408. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(a ((^z.z) b))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 119746/11817417. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 119747/11817462. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a (^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a (^x1.x1)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a (^z.z)))) 9. ==[ beta ]==> ((^y.y)((b a)(a (^z.z)))) 10. ==[ alpha ]==> ((^x.x)((b a)(a (^y.y)))) 11. ==[ beta ]==> ((b a)(a (^y.y))) 12. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 119748/11817543. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 119749/11817696. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^y.y))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119750/11817723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(a (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(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. ------ 119751/11817750. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((((a a) a) a)((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> ((((a a) a) a)(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a) a)(^x.(^y.y))) REDUCED to normal form. ------ 119752/11817768. ------ 1. ==[ start ]==> (((^a.b) c)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 119753/11817831. ------ 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. ------ 119754/11818011. ------ 1. ==[ start ]==> (((a b) c)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) c)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 119755/11818038. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (^y.(^z.z))) a)) 3. ==[ beta ]==> (((a a) b)((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 119756/11818065. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((b a) b)) REDUCED to normal form. ------ 119757/11818821. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(a a)))) REDUCED to normal form. ------ 119758/11818929. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a)(^z.z)) b)) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 119759/11818956. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a (a a))(^x.b))((a a) c)) REDUCED to normal form. ------ 119760/11819136. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((a a)(^x1.x1)))) REDUCED to normal form. ------ 119761/11819712. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a) b)) REDUCED to normal form. ------ 119762/11819739. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b) c)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b) c)) REDUCED to normal form. ------ 119763/11819892. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (b ((^x.x)(a a)))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 119764/11819955. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 119765/11820000. ------ 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) 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. ------ 119766/11820027. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(a (a a))) REDUCED to normal form. ------ 119767/11820126. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b (^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (^x.(a a)))) REDUCED to normal form. ------ 119768/11820153. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 119769/11820180. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 119770/11820207. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b)(a (^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 119771/11820261. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 119772/11820306. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119773/11820315. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) a) REDUCED to normal form. ------ 119774/11820342. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 119775/11820513. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(d ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(d ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (d ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (d ((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (d (^y.y))) 6. ==[ alpha ]==> (b (d (^x.x))) REDUCED to normal form. ------ 119776/11820621. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((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. ------ 119777/11820630. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 119778/11820657. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a) c)) 3. ==[ beta ]==> ((b a)((^y.a) c)) 4. ==[ alpha ]==> ((b a)((^x.a) c)) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 119779/11820675. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((^z.z)(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 7. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 9. ==[ beta ]==> (b ((^y.y) a)) 10. ==[ alpha ]==> (b ((^x.x) a)) 11. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119780/11820702. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(a (a a))) REDUCED to normal form. ------ 119781/11820756. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (^z.z))((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (^z.z))((a a) a))) REDUCED to normal form. ------ 119782/11820819. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b)(^y.y))) REDUCED to normal form. ------ 119783/11820846. ------ 1. ==[ start ]==> (((a b)(^c.a))(((a a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 119784/11820873. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.a)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 119785/11820900. ------ 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))(^z.(z z)))) REDUCED to normal form. ------ 119786/11820981. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)(^z.b))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.b))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 119787/11821017. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a a) b)((^y.b)(^z.z))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(^y.y))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 119788/11821071. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 119789/11821098. ------ 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.(z z)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 119790/11821125. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 119791/11821152. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 119792/11821179. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(^y.b))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.b)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.b)) REDUCED to normal form. ------ 119793/11821314. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b (a a))(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 119794/11821341. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b (^c.a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(b (^x.a))) REDUCED to normal form. ------ 119795/11821701. ------ 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. ------ 119796/11821728. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a a)) 7. ==[ beta ]==> ((^y.y)(a a)) 8. ==[ alpha ]==> ((^x.x)(a a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119797/11821737. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 119798/11821782. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y) a)((^z.z) a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> (((b a)(b a))(a ((^y.y) a))) 6. ==[ alpha ]==> (((b a)(b a))(a ((^x.x) a))) 7. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 119799/11821872. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a b)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a b)(^x.b))(^y.y)) REDUCED to normal form. ------ 119800/11821926. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 119801/11821980. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 119802/11822007. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 119803/11822034. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 119804/11822070. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 119805/11822097. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 119806/11822124. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 119807/11822232. ------ 1. ==[ start ]==> (((a b)(a b))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))(b (^x.(x x)))) REDUCED to normal form. ------ 119808/11822259. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a (^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 119809/11822286. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a a)(a a))) REDUCED to normal form. ------ 119810/11822340. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 119811/11822367. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(a (a a)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (a a))) REDUCED to normal form. ------ 119812/11822394. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(^y.y))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((^y.y)(^y.y))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(^y.y))) 5. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 119813/11822421. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 119814/11822511. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(a a))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119815/11822736. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a) c)) 3. ==[ beta ]==> ((b c)((a a) c)) REDUCED to normal form. ------ 119816/11822763. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a) a)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 119817/11822808. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 119818/11822871. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 119819/11822898. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1)) a)) REDUCED to normal form. ------ 119820/11822970. ------ 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))) REDUCED to normal form. ------ 119821/11822979. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) b)) 3. ==[ beta ]==> (((a b)(^x.(a a))) b) REDUCED to normal form. ------ 119822/11823006. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.z))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 119823/11823078. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a a)) 3. ==[ beta ]==> ((^y.(^z.z))(a a)) 4. ==[ alpha ]==> ((^x.(^y.y))(a a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119824/11823086. ------ 1. ==[ start ]==> (^a.((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (^x.((x (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 119825/11823087. ------ 1. ==[ start ]==> (a ((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (a ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 119826/11831499. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a))) b) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a))) b) 3. ==[ beta ]==> ((^y.(^z.z)) b) 4. ==[ alpha ]==> ((^x.(^y.y)) b) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119827/11831508. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a))) a) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 119828/11831514. ------ 1. ==[ start ]==> ((^a.a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 119829/11831523. ------ 1. ==[ start ]==> ((^a.(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119830/11831541. ------ 1. ==[ start ]==> ((^a.(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (((b a)(^y.(^z.z)))((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 119831/11831568. ------ 1. ==[ start ]==> ((^a.b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 119832/11831604. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119833/11831766. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119834/11831838. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((a a)(a a)) b)) 3. ==[ eta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 119835/11832009. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 119836/11832183. ------ 1. ==[ start ]==> ((((^a.a) a) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a b)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 119837/11833224. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 119838/11833587. ------ 1. ==[ start ]==> (((a b) a)(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)(^x.((^y.y) b))) 3. ==[ beta ]==> (((a b) a)(^x.b)) REDUCED to normal form. ------ 119839/11833605. ------ 1. ==[ start ]==> (((^a.a)(a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(y y)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 119840/11833791. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.a)(a b))) 3. ==[ beta ]==> (^y.(((^z.a)(a b))((^z.a)(a b)))) 4. ==[ alpha ]==> (^x.(((^y.a)(a b))((^z.a)(a b)))) 5. ==[ beta ]==> (^x.(a ((^z.a)(a b)))) 6. ==[ alpha ]==> (^x.(a ((^y.a)(a b)))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 119841/11833998. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((b a) c)) 3. ==[ beta ]==> ((^y.y)(((b a) c)((b a) c))) 4. ==[ alpha ]==> ((^x.x)(((b a) c)((b a) c))) 5. ==[ beta ]==> (((b a) c)((b a) c)) REDUCED to normal form. ------ 119842/11834253. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 119843/11834262. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^z.b)) REDUCED to normal form. ------ 119844/11834673. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((((^z.z)(a a))(^x1.(x1 x1)))(((^z.z)(a a))(^x1.(x1 x1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))(^y1.y1)) 5. ==[ beta ]==> ((((a a)(^y.(y y)))(((^z.z)(a a))(^x1.(x1 x1))))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.(x x)))(((^y.y)(a a))(^z.(z z))))(^x1.x1)) 7. ==[ beta ]==> ((((a a)(^x.(x x)))((a a)(^z.(z z))))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.(x x)))((a a)(^y.(y y))))(^z.z)) REDUCED to normal form. ------ 119845/11835738. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(^x1.(x1 a))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 a))) 4. ==[ alpha ]==> ((^x.x)(^y.(y a))) 5. ==[ beta ]==> (^y.(y a)) 6. ==[ alpha ]==> (^x.(x a)) REDUCED to normal form. ------ 119846/11836773. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 119847/11837184. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 119848/11837223. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(^z1.((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z1.((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 119849/11837637. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(a b))) 5. ==[ beta ]==> ((^y.(a a))(^z.(a b))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119850/11838222. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.b))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.b))) 5. ==[ beta ]==> (^y.(^z.b)) 6. ==[ alpha ]==> (^x.(^y.b)) REDUCED to normal form. ------ 119851/11838546. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.a))) REDUCED to normal form. ------ 119852/11838690. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 119853/11838708. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.(^c.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. ------ 119854/11839212. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 119855/11839263. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119856/11839437. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 119857/11839581. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(a (^z.z)))) 3. ==[ beta ]==> ((b c)(^y.(a (^z.z)))) 4. ==[ alpha ]==> ((b c)(^x.(a (^y.y)))) REDUCED to normal form. ------ 119858/11839608. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y) x))) 3. ==[ eta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 119859/11839680. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.z))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 119860/11839734. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(a (^z1.z1)))) REDUCED to normal form. ------ 119861/11839824. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a a))) REDUCED to normal form. ------ 119862/11839923. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119863/11839932. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 119864/11839944. ------ 1. ==[ start ]==> ((a a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 119865/11839953. ------ 1. ==[ start ]==> ((a (^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 119866/11839971. ------ 1. ==[ start ]==> ((a (a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 119867/11839998. ------ 1. ==[ start ]==> ((a b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 119868/11840034. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 119869/11840052. ------ 1. ==[ start ]==> (((a a)(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a b)(^x.(a a)))) REDUCED to normal form. ------ 119870/11840115. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119871/11840142. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.x))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 119872/11840169. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 119873/11840196. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 119874/11840241. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a a))((b (^y.y)) a)) REDUCED to normal form. ------ 119875/11840268. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 119876/11840277. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 119877/11840304. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 119878/11840439. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 119879/11840547. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(y y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(x x))((^y.a)(^z.z))) 5. ==[ beta ]==> (((^y.a)(^z.z))((^y.a)(^z.z))) 6. ==[ alpha ]==> (((^x.a)(^y.y))((^z.a)(^x1.x1))) 7. ==[ beta ]==> (a ((^z.a)(^x1.x1))) 8. ==[ alpha ]==> (a ((^x.a)(^y.y))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119880/11840574. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119881/11840610. ------ 1. ==[ start ]==> ((((^a.a) a) b)(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(a (b (^y.y)))) 3. ==[ beta ]==> ((a b)(a (b (^y.y)))) 4. ==[ alpha ]==> ((a b)(a (b (^x.x)))) REDUCED to normal form. ------ 119882/11840637. ------ 1. ==[ start ]==> (((a (a a)) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 119883/11840664. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.(x x)))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b (a (^y.y)))) REDUCED to normal form. ------ 119884/11840691. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 119885/11840718. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 119886/11840745. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 119887/11840853. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((b b)((^y.y)((a a)(^z.z)))) 6. ==[ alpha ]==> ((b b)((^x.x)((a a)(^y.y)))) 7. ==[ beta ]==> ((b b)((a a)(^y.y))) 8. ==[ alpha ]==> ((b b)((a a)(^x.x))) REDUCED to normal form. ------ 119888/11841033. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((^b.b)(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. ------ 119889/11841060. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((^z.(^x1.(^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. ------ 119890/11841186. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(^y.(a a)))) REDUCED to normal form. ------ 119891/11841267. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119892/11841294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a a)((a (^y.y))(^z.z))) 6. ==[ alpha ]==> ((a a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 119893/11841357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.z))) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119894/11841411. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> (a ((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 119895/11841492. ------ 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. ------ 119896/11841519. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.b))) 3. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.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. ------ 119897/11841573. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 119898/11841654. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 119899/11841726. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.y) b)) 3. ==[ beta ]==> ((a (a (a a)))((^y.y) b)) 4. ==[ alpha ]==> ((a (a (a a)))((^x.x) b)) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 119900/11841825. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)(((^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 ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 119901/11841987. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 119902/11842005. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 119903/11842014. ------ 1. ==[ start ]==> (((a b) a)((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b) a)((a a)((^x.x) b))) 3. ==[ beta ]==> (((a b) a)((a a) b)) REDUCED to normal form. ------ 119904/11842032. ------ 1. ==[ start ]==> (((^a.a)(a b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(a (^y.(a a)))) 3. ==[ beta ]==> ((a b)(a (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(a (^x.(a a)))) REDUCED to normal form. ------ 119905/11842059. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((^z.z)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(a a))) 5. ==[ beta ]==> ((^y.y)(a a)) 6. ==[ alpha ]==> ((^x.x)(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119906/11842194. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.b)((a a) a))) 3. ==[ beta ]==> (b ((^y.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119907/11842221. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)(a b))) 3. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 119908/11842239. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(a b))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(a b))((^x.x)(^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. ------ 119909/11842320. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 119910/11842347. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 119911/11842374. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((^y.y) b) a)) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(b a)) REDUCED to normal form. ------ 119912/11842401. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 119913/11842428. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((b a) c)) 3. ==[ beta ]==> ((a (a a))((b a) c)) REDUCED to normal form. ------ 119914/11842464. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119915/11842518. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> ((^y.y)((^y1.b)(^z1.a))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 7. ==[ beta ]==> ((^y.b)(^z.a)) 8. ==[ alpha ]==> ((^x.b)(^y.a)) 9. ==[ beta ]==> b REDUCED to normal form. ------ 119916/11842599. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(a a))(^c.(^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. ------ 119917/11842653. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 119918/11842662. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 119919/11842680. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119920/11842689. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a b)) REDUCED to normal form. ------ 119921/11842743. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 119922/11842770. ------ 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))((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(((a a)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(((a a)(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(y y))(((a a)(^z.z))((^x1.x1) a))) 6. ==[ alpha ]==> ((^x.(x x))(((a a)(^y.y))((^z.z) a))) 7. ==[ beta ]==> ((((a a)(^y.y))((^z.z) a))(((a a)(^y.y))((^z.z) a))) 8. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1) a))) 9. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^z.z))((^x1.x1) a))) 10. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a)(^y.y))((^z.z) a))) 11. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a)(^y.y)) a)) REDUCED to normal form. ------ 119923/11842797. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((a a)(a (a a)))) REDUCED to normal form. ------ 119924/11842824. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 119925/11842851. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 119926/11843022. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 119927/11843049. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 119928/11843076. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 119929/11843103. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 119930/11843139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.b)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(^z.z))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119931/11843274. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(b a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119932/11843436. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 119933/11843517. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(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. ------ 119934/11843580. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))(b (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (b a))) REDUCED to normal form. ------ 119935/11843616. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 119936/11843670. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 119937/11843949. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119938/11844030. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119939/11844138. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 119940/11844165. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(b a))) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119941/11844219. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 119942/11844300. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 119943/11844507. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(a a)) c)) 3. ==[ beta ]==> (((a (a a))(a b))(a a)) REDUCED to normal form. ------ 119944/11844687. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119945/11844786. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.b)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a a)((^z.b)((^x1.x1) a))) 6. ==[ alpha ]==> ((a a)((^x.b)((^y.y) a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 119946/11844867. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a) a))) 5. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 119947/11845002. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 119948/11845029. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 119949/11845083. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 119950/11845164. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119951/11845173. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 119952/11845200. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 119953/11845227. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a)(a a))) REDUCED to normal form. ------ 119954/11845281. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(((a a) a) a)) REDUCED to normal form. ------ 119955/11845452. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(^y.y))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.x))) REDUCED to normal form. ------ 119956/11845479. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 119957/11845506. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)(^x.a))) REDUCED to normal form. ------ 119958/11845533. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) 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)(^x.x)) a)((^z.z)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(^z.(z z)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(z z))) 8. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(y y))) REDUCED to normal form. ------ 119959/11845614. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a (^y.y))(^z.b))) 3. ==[ beta ]==> ((a b)((a (^y.y))(^z.b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(^y.b))) REDUCED to normal form. ------ 119960/11845623. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119961/11845650. ------ 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)((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.z1)((^x2.x2)(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. ------ 119962/11845785. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119963/11845902. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b)(a a))) REDUCED to normal form. ------ 119964/11845929. ------ 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. ------ 119965/11845956. ------ 1. ==[ start ]==> (((a a)(^b.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 119966/11845983. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 119967/11846064. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(a b))) 5. ==[ beta ]==> ((^y.(a a))((a a)(a b))) 6. ==[ alpha ]==> ((^x.(a a))((a a)(a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 119968/11846109. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)(a a))) 3. ==[ beta ]==> (b ((^y.b)(a a))) 4. ==[ alpha ]==> (b ((^x.b)(a a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 119969/11846217. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119970/11846289. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b) a)) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b) a)) 3. ==[ beta ]==> (((a a) b)((a b) a)) REDUCED to normal form. ------ 119971/11846316. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((a a) a) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((a a) a) b)) REDUCED to normal form. ------ 119972/11846343. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z)) c)) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z)) c)) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y)) c)) 5. ==[ beta ]==> ((a (b a))((^y.y) c)) 6. ==[ alpha ]==> ((a (b a))((^x.x) c)) 7. ==[ beta ]==> ((a (b a)) c) REDUCED to normal form. ------ 119973/11846478. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b) a)) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b) a)) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 119974/11846649. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (^x1.b))) 3. ==[ beta ]==> ((^y.y)(a (^x1.b))) 4. ==[ alpha ]==> ((^x.x)(a (^y.b))) 5. ==[ beta ]==> (a (^y.b)) 6. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 119975/11846784. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 119976/11846892. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119977/11846928. ------ 1. ==[ start ]==> ((((^a.a) b) b)(c (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(c (a (a a)))) 3. ==[ beta ]==> ((b b)(c (a (a a)))) REDUCED to normal form. ------ 119978/11846955. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(b ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(b (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(b (^x.x))) REDUCED to normal form. ------ 119979/11847009. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1)(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 119980/11847036. ------ 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 (a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((a (a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 119981/11847117. ------ 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. ------ 119982/11847135. ------ 1. ==[ start ]==> (((^a.b)(a b))(a (^c.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. ------ 119983/11847243. ------ 1. ==[ start ]==> (((^a.(^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 a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119984/11847423. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 119985/11847450. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 119986/11847477. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a) c)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a) c)) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 119987/11847558. ------ 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))(^z.z))((a (a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(^z.z))) REDUCED to normal form. ------ 119988/11847612. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.a))) REDUCED to normal form. ------ 119989/11847639. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 119990/11847666. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a)) a)) REDUCED to normal form. ------ 119991/11847693. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a) b)) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a) b)) 3. ==[ beta ]==> ((a (b (^x.x)))(a b)) REDUCED to normal form. ------ 119992/11847864. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (^z.(z z)))) 3. ==[ beta ]==> (b (a (^z.(z z)))) 4. ==[ alpha ]==> (b (a (^x.(x x)))) REDUCED to normal form. ------ 119993/11847972. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 119994/11848008. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (a (^y.y)))) 3. ==[ beta ]==> ((b c)(b (a (^y.y)))) 4. ==[ alpha ]==> ((b c)(b (a (^x.x)))) REDUCED to normal form. ------ 119995/11848035. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a ((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a ((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 119996/11848080. ------ 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)))) REDUCED to normal form. ------ 119997/11848107. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a (^z.a))) 3. ==[ beta ]==> ((^y.y)(a (^z.a))) 4. ==[ alpha ]==> ((^x.x)(a (^y.a))) 5. ==[ beta ]==> (a (^y.a)) 6. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 119998/11848143. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b b)) 3. ==[ beta ]==> ((a (^y.y))(b b)) 4. ==[ alpha ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 119999/11848161. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(a (^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.y1))) REDUCED to normal form. ------ 120000/11848242. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (^z.z))) 3. ==[ beta ]==> (b (b (^z.z))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 120001/11848251. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(a a))) REDUCED to normal form. ------ 120002/11848278. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b a)) 3. ==[ beta ]==> (((a a)(^y.b))(b a)) 4. ==[ alpha ]==> (((a a)(^x.b))(b a)) REDUCED to normal form. ------ 120003/11848350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120004/11848359. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 120005/11856789. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a))) b) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z))) b) REDUCED to normal form. ------ 120006/11856813. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120007/11856894. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120008/11857056. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (^y.((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (^x.((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 120009/11857095. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 120010/11857749. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120011/11858562. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z)(z z)))) REDUCED to normal form. ------ 120012/11858694. ------ 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 ]==> ((((^y.y)(a a))((^z.z)(^x1.x1))) b) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z))) b) 5. ==[ beta ]==> (((a a)((^y.y)(^z.z))) b) 6. ==[ alpha ]==> (((a a)((^x.x)(^y.y))) b) 7. ==[ beta ]==> (((a a)(^y.y)) b) 8. ==[ alpha ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 120013/11858904. ------ 1. ==[ start ]==> (((a a)(^a.b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 120014/11859081. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a) a)(^z.b))) 3. ==[ beta ]==> (^y.((((a a) a)(^z.b))(((a a) a)(^z.b)))) 4. ==[ alpha ]==> (^x.((((a a) a)(^y.b))(((a a) a)(^z.b)))) REDUCED to normal form. ------ 120015/11859552. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.(^x1.x1))) REDUCED to normal form. ------ 120016/11860173. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 120017/11860479. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 120018/11860719. ------ 1. ==[ start ]==> ((^a.(b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))((a (^y.y))((a a)(^z.z)))) 3. ==[ eta ]==> (b ((a (^y.y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 120019/11861316. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 120020/11861556. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x1.x1)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 120021/11862063. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120022/11862159. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a) d)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a) d)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120023/11862288. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 120024/11862954. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(y y)))) REDUCED to normal form. ------ 120025/11863341. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(x1 b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(x1 b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(z b))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(z b))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(y b))) REDUCED to normal form. ------ 120026/11863473. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a (^y.y))((^z.z)(^x1.x1)))((a (^y.y))((^z.z)(^x1.x1))))(((a (^y.y))((^z.z)(^x1.x1)))((a (^y.y))((^z.z)(^x1.x1))))) 4. ==[ alpha ]==> ((((a (^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1)(^z1.z1))))(((a (^x2.x2))((^y2.y2)(^z2.z2)))((a (^x3.x3))((^y3.y3)(^z3.z3))))) 5. ==[ beta ]==> ((((a (^x.x))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1))))(((a (^x2.x2))((^y2.y2)(^z2.z2)))((a (^x3.x3))((^y3.y3)(^z3.z3))))) 6. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))((^x1.x1)(^y1.y1))))(((a (^z1.z1))((^x2.x2)(^y2.y2)))((a (^z2.z2))((^x3.x3)(^y3.y3))))) 7. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^y1.y1)))(((a (^z1.z1))((^x2.x2)(^y2.y2)))((a (^z2.z2))((^x3.x3)(^y3.y3))))) 8. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))((^z1.z1)(^x2.x2)))((a (^y2.y2))((^z2.z2)(^x3.x3))))) 9. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))(^x2.x2))((a (^y2.y2))((^z2.z2)(^x3.x3))))) 10. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))(^z1.z1))((a (^x2.x2))((^y2.y2)(^z2.z2))))) 11. ==[ beta ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))(^z1.z1))((a (^x2.x2))(^z2.z2)))) 12. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))(((a (^y1.y1))(^z1.z1))((a (^x2.x2))(^y2.y2)))) REDUCED to normal form. ------ 120027/11864007. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 120028/11864142. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^b.((^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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 120029/11864286. ------ 1. ==[ start ]==> (((a (a a))(b a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 120030/11864898. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 120031/11864970. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.c)) 3. ==[ beta ]==> ((^y.y)(^z.c)) 4. ==[ alpha ]==> ((^x.x)(^y.c)) 5. ==[ beta ]==> (^y.c) 6. ==[ alpha ]==> (^x.c) REDUCED to normal form. ------ 120032/11865033. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 120033/11865141. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120034/11865213. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.a)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120035/11865222. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 120036/11865252. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 120037/11865261. ------ 1. ==[ start ]==> (((^a.a) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 120038/11865279. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 120039/11865333. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a))(^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. ------ 120040/11865342. ------ 1. ==[ start ]==> (((^a.a) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a b))) 3. ==[ beta ]==> (b ((^y.(a a))(a b))) 4. ==[ alpha ]==> (b ((^x.(a a))(a b))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 120041/11865369. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 120042/11865396. ------ 1. ==[ start ]==> (((a a) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 120043/11865423. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.y)) REDUCED to normal form. ------ 120044/11865441. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 120045/11865450. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 120046/11865468. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a) a)(^b.b))) 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. ------ 120047/11865477. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 120048/11865495. ------ 1. ==[ start ]==> ((a (^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 120049/11865531. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^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. ------ 120050/11865576. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.a)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.a)(((a a)(a a)) b)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 120051/11865603. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 120052/11865612. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.a)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.a)) REDUCED to normal form. ------ 120053/11865639. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 120054/11865720. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 120055/11865828. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 120056/11865981. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.x)((^y.y) c)) 5. ==[ beta ]==> ((^y.y) c) 6. ==[ alpha ]==> ((^x.x) c) 7. ==[ beta ]==> c REDUCED to normal form. ------ 120057/11866080. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)((a a) a))) REDUCED to normal form. ------ 120058/11866107. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a b)(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a b)(a b))) REDUCED to normal form. ------ 120059/11866134. ------ 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)(a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a (^x.x)))(((a a) a)(a a))) REDUCED to normal form. ------ 120060/11866161. ------ 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))((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)))) 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. ------ 120061/11866188. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.y))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((a (a a))(b a))) REDUCED to normal form. ------ 120062/11866332. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) b)(^y1.(^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. ------ 120063/11866341. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 120064/11866359. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 120065/11866368. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 120066/11866413. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120067/11866449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((^x1.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))((a a) a))) 7. ==[ beta ]==> ((^y.(a a))((a a) a)) 8. ==[ alpha ]==> ((^x.(a a))((a a) a)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120068/11866656. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((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. ------ 120069/11866710. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.(^x1.x1))) c)) 5. ==[ beta ]==> (a ((a (^z.(^x1.x1))) c)) 6. ==[ alpha ]==> (a ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 120070/11866827. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 120071/11866881. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 120072/11866935. ------ 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. ------ 120073/11866971. ------ 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. ------ 120074/11866998. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a)(a a)))) REDUCED to normal form. ------ 120075/11867025. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 120076/11867052. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a)) a)((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (a a)) a)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 120077/11867079. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((b a)((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)((^z.z) a))) 5. ==[ beta ]==> ((a (^y.y))((b a)((^z.z) a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)((^y.y) a))) 7. ==[ beta ]==> ((a (^x.x))((b a) a)) REDUCED to normal form. ------ 120078/11867106. ------ 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. ------ 120079/11867133. ------ 1. ==[ start ]==> ((a (a b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (a b))(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a (a b))((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a (a b))((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a (a b))((a a)(^y.y))) 6. ==[ alpha ]==> ((a (a b))((a a)(^x.x))) REDUCED to normal form. ------ 120080/11867286. ------ 1. ==[ start ]==> ((((a a) a) b)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120081/11867313. ------ 1. ==[ start ]==> (((a b) a)(b (^b.b))) 2. ==[ alpha ]==> (((a b) a)(b (^x.x))) REDUCED to normal form. ------ 120082/11867340. ------ 1. ==[ start ]==> (((a a)(^a.b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 120083/11867358. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((^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. ------ 120084/11867394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 120085/11867412. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((b a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((b a)(^y.a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.a))) REDUCED to normal form. ------ 120086/11867448. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120087/11867475. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120088/11867493. ------ 1. ==[ start ]==> (((^a.b)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 120089/11867502. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.b)((a a) a))) 3. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 120090/11867520. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.b))) REDUCED to normal form. ------ 120091/11867691. ------ 1. ==[ start ]==> (((^a.b) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)(^z.z))) 3. ==[ beta ]==> (b ((^y.y)(^z.z))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120092/11867736. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((b a) c)) 3. ==[ beta ]==> ((^y.(a a))((b a) c)) 4. ==[ alpha ]==> ((^x.(a a))((b a) c)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120093/11867907. ------ 1. ==[ start ]==> (((a b) b)((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a b) b)(^y.y)) 6. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 120094/11867961. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 120095/11867988. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 120096/11868033. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) b)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) b)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) b)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) b)) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) b)) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) b)) 11. ==[ beta ]==> ((^y.(^z.(^x1.x1))) b) 12. ==[ alpha ]==> ((^x.(^y.(^z.z))) b) 13. ==[ beta ]==> (^y.(^z.z)) 14. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120097/11868186. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 120098/11868213. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a (a a))(a a))) REDUCED to normal form. ------ 120099/11868240. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a ((a a) a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 120100/11868267. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.y))(b a))) REDUCED to normal form. ------ 120101/11868294. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a (a a))((a a)(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a (a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 120102/11868339. ------ 1. ==[ start ]==> (((^a.b) c)((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b) c)((^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. ------ 120103/11868438. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 120104/11868582. ------ 1. ==[ start ]==> (((a b) c)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(b a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 120105/11868609. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 120106/11868636. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 120107/11868654. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((b a) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((b a) b)) 3. ==[ beta ]==> (((a a)(^y.y))((b a) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((b a) b)) REDUCED to normal form. ------ 120108/11868690. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 120109/11868717. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 120110/11868771. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120111/11868798. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 120112/11868825. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 120113/11868852. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 120114/11868915. ------ 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. ------ 120115/11868942. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((b a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((b a)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a a))((b a)(a a))) REDUCED to normal form. ------ 120116/11868969. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a (a b))(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 120117/11868996. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> (((a (a a))((a a) a))((a a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((a a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))((a a) a))((a a) a)) REDUCED to normal form. ------ 120118/11869023. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a (a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a (a a)))) 7. ==[ beta ]==> ((^y.y)((a b)(a (a a)))) 8. ==[ alpha ]==> ((^x.x)((a b)(a (a a)))) 9. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 120119/11869050. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(((a a) a)(^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a) a)(^x.x))) REDUCED to normal form. ------ 120120/11869077. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((^y.y)(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b) a)((^y.y)((a a) a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)((a a) a))) 7. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 120121/11869104. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a (a a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a (a a))(a b))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a (a a))(a b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(a b))) REDUCED to normal form. ------ 120122/11869131. ------ 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)(^x.x))(a a))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a ((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))(a (a a))) REDUCED to normal form. ------ 120123/11869158. ------ 1. ==[ start ]==> ((a (b a))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (b a))((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 120124/11869248. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 120125/11869329. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 120126/11869392. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(y y))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a b)(a b))) REDUCED to normal form. ------ 120127/11869437. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (^a.a))(^c.(^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. ------ 120128/11869518. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a b))(((a a)(^y.y)) b)) 4. ==[ alpha ]==> (((a b)(a b))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 120129/11869527. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 120130/11869581. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) b) REDUCED to normal form. ------ 120131/11869608. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 120132/11869635. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 120133/11869662. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.b))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 120134/11869725. ------ 1. ==[ start ]==> (((a a)(b a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 120135/11869752. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(a (b a))) REDUCED to normal form. ------ 120136/11869779. ------ 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))) REDUCED to normal form. ------ 120137/11869806. ------ 1. ==[ start ]==> (((a (a a))(a b))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a b))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a b))((a a)(a (^x.x)))) REDUCED to normal form. ------ 120138/11869833. ------ 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.z) a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a b)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a b)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 120139/11869860. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 120140/11869887. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a (a a)))((^y.y)(^z.z))) 6. ==[ alpha ]==> (((a b)(a (a a)))((^x.x)(^y.y))) 7. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 8. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 120141/11869914. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((a (a a))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a (a a))((a a) a))) 5. ==[ beta ]==> (((a a) a)((a (a a))((a a) a))) REDUCED to normal form. ------ 120142/11869941. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a (a b))) REDUCED to normal form. ------ 120143/11869986. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120144/11869995. ------ 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. ------ 120145/11870085. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a b)(^z.a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a b)(^z.a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a b)(^z.a))) 5. ==[ beta ]==> ((a a)((a b)(^z.a))) 6. ==[ alpha ]==> ((a a)((a b)(^x.a))) REDUCED to normal form. ------ 120146/11870166. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (a a))(^x1.a))) 3. ==[ beta ]==> (b ((a (a a))(^x1.a))) 4. ==[ alpha ]==> (b ((a (a a))(^x.a))) REDUCED to normal form. ------ 120147/11870274. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((a a)(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120148/11870301. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 120149/11870310. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 120150/11870328. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a b) c)) 3. ==[ beta ]==> ((^y.y)((a b) c)) 4. ==[ alpha ]==> ((^x.x)((a b) c)) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 120151/11870391. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(^a.a))(^b.(^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. ------ 120152/11870418. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(z z))(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.(z z))(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.(y y))(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 120153/11870472. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 120154/11870571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.b) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.b) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120155/11870598. ------ 1. ==[ start ]==> ((a (^b.b))((^c.a) d)) 2. ==[ alpha ]==> ((a (^x.x))((^y.a) d)) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 120156/11870616. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((^x1.x1)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.z)(a (a a)))) 5. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 120157/11870643. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a (a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((a (a a))(^y.y))) REDUCED to normal form. ------ 120158/11870670. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((a a) a))) REDUCED to normal form. ------ 120159/11870697. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (^x.x))(a b))) REDUCED to normal form. ------ 120160/11870724. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 120161/11870877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 120162/11870922. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 120163/11870949. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a a)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 120164/11871192. ------ 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. ------ 120165/11871246. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a) c)) 3. ==[ beta ]==> (((^y.y) b)((^z.a) c)) 4. ==[ alpha ]==> (((^x.x) b)((^y.a) c)) 5. ==[ beta ]==> (b ((^y.a) c)) 6. ==[ alpha ]==> (b ((^x.a) c)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 120166/11871363. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (^x1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (^z.b))) 5. ==[ beta ]==> ((^y.(a a))(b (^z.b))) 6. ==[ alpha ]==> ((^x.(a a))(b (^y.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120167/11871390. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 120168/11871408. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b)(^y.y))) 3. ==[ beta ]==> (b ((a b)(^y.y))) 4. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 120169/11871417. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(a a))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 120170/11871444. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 120171/11871471. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.(^x1.x1))((^y1.y1) 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. ------ 120172/11871516. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120173/11871525. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) a) REDUCED to normal form. ------ 120174/11871552. ------ 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. ------ 120175/11871723. ------ 1. ==[ start ]==> ((((a a) a)(a b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)(a b))(c (^y.y))) 4. ==[ alpha ]==> ((((a a) a)(a b))(c (^x.x))) REDUCED to normal form. ------ 120176/11871750. ------ 1. ==[ start ]==> (((a b)((a a) a))(b ((a a) a))) REDUCED to normal form. ------ 120177/11871777. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(a (a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(a (a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(a (a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(a (a b))) 5. ==[ beta ]==> (((a a)(^y.y))(a (a b))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (a b))) REDUCED to normal form. ------ 120178/11871804. ------ 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. ------ 120179/11871858. ------ 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 (a a))((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((a (a a)) a)) REDUCED to normal form. ------ 120180/11871885. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> ((b (a a))(((^y.y) a)(a (a a)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x) a)(a (a a)))) 5. ==[ beta ]==> ((b (a a))(a (a (a a)))) REDUCED to normal form. ------ 120181/11871912. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a (^x.x))(^z.z))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 120182/11872083. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 120183/11872191. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120184/11872227. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.(y y)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 120185/11872254. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 120186/11872299. ------ 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)((^x1.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120187/11872353. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y)) c)) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y)) c)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x)) c)) 5. ==[ beta ]==> (((b a)(b a))(c c)) REDUCED to normal form. ------ 120188/11872416. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 120189/11872443. ------ 1. ==[ start ]==> (((a b)(^a.b))(a (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 120190/11872497. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 120191/11872542. ------ 1. ==[ start ]==> (((^a.(^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 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120192/11872551. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1))(a (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. ------ 120193/11872578. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 120194/11872605. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 120195/11872668. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c ((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) b)(c ((^z.z) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(c ((^y.y) a))) 5. ==[ beta ]==> (((a (^x.x)) b)(c a)) REDUCED to normal form. ------ 120196/11872695. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(b (a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(b (a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (a (a a)))) REDUCED to normal form. ------ 120197/11872722. ------ 1. ==[ start ]==> (((a (a a))(b a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.y))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.x))) REDUCED to normal form. ------ 120198/11872749. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a))(a a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a))(a a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(a a))) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a))(a a))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 120199/11872776. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y) a)(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)))) 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. ------ 120200/11872803. ------ 1. ==[ start ]==> (((a b)(a b))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))((a (^x.x))((^y.y) a))) 3. ==[ beta ]==> (((a b)(a b))((a (^x.x)) a)) REDUCED to normal form. ------ 120201/11872830. ------ 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. ------ 120202/11873082. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120203/11873271. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a) a)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120204/11873307. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 120205/11873334. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.x)(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.a)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 120206/11873379. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 120207/11873442. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 120208/11873460. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.(^z1.z1)))) REDUCED to normal form. ------ 120209/11873469. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.x1))) REDUCED to normal form. ------ 120210/11873541. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) a)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120211/11873550. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 120212/11873577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 120213/11873649. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120214/11873658. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.x1))) REDUCED to normal form. ------ 120215/11873675. ------ 1. ==[ start ]==> (^a.((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (^x.((^y.y)((^z.z) x))) 3. ==[ beta ]==> (^x.((^z.z) x)) 4. ==[ alpha ]==> (^x.((^y.y) x)) 5. ==[ eta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120216/11873676. ------ 1. ==[ start ]==> (a ((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 3. ==[ beta ]==> (a ((^y.y) a)) 4. ==[ alpha ]==> (a ((^x.x) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120217/11882121. ------ 1. ==[ start ]==> ((^a.a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((^y.y)((^z.z) a)) 4. ==[ alpha ]==> ((^x.x)((^y.y) a)) 5. ==[ beta ]==> ((^y.y) a) 6. ==[ alpha ]==> ((^x.x) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120218/11882148. ------ 1. ==[ start ]==> ((^a.(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(a (a a)))((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120219/11882256. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^z.b)((^x1.x1)(a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120220/11882412. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 120221/11882421. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 120222/11882715. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.(y y))(^z.(^x1.(^y1.y1))))(((^y.(y y))(^z.(^x1.(^y1.y1))))((^y.(y y))(^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))((^z2.(z2 z2))(^x3.(^y3.(^z3.z3)))))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))((^z2.(z2 z2))(^x3.(^y3.(^z3.z3)))))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))((^y3.(y3 y3))(^z3.(^x4.(^y4.y4)))))) 7. ==[ beta ]==> ((^y.(^z.z))(((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))((^y3.(y3 y3))(^z3.(^x4.(^y4.y4)))))) 8. ==[ alpha ]==> ((^x.(^y.y))(((^z.(z z))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3)))))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120223/11882808. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(b (^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(b (^x1.x1)))) 6. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 7. ==[ beta ]==> (^y.(b (^z.z))) 8. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 120224/11882940. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120225/11883498. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.(^z.z))((^x1.x1) b))((^y.(^z.z))((^x1.x1) b)))((^y.(^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b)))((^x2.(^y2.y2))((^z2.z2) b))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((^z1.z1) b)))((^x2.(^y2.y2))((^z2.z2) b))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((^x1.x1) b)))((^y1.(^z1.z1))((^x2.x2) b))) 7. ==[ beta ]==> (((^y.(^z.z))((^x1.x1) b))((^y1.(^z1.z1))((^x2.x2) b))) 8. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1) b))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) b))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) b))) 11. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 12. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120226/11883831. ------ 1. ==[ start ]==> ((^a.(^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 120227/11883879. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 120228/11884212. ------ 1. ==[ start ]==> (((^a.a)(a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a b)(^y.((^z.z) b))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y) b))) 5. ==[ beta ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 120229/11884554. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 120230/11884605. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.y3))))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))((^x2.(^y2.(^z2.z2)))(^x3.(^y3.y3)))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 7. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.(^y2.y2)))(^z2.(^x3.x3)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120231/11885202. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(^a.(^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. ------ 120232/11885490. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 120233/11885796. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 120234/11886036. ------ 1. ==[ start ]==> ((^a.(b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(c (^y.(^z.z)))) 3. ==[ eta ]==> (b (c (^y.(^z.z)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 120235/11886873. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^x1.(^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 120236/11887476. ------ 1. ==[ start ]==> ((^a.(^b.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120237/11887791. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 120238/11888073. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((^x2.x2)(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((^x2.x2)(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120239/11888469. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^b.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a y))) 3. ==[ eta ]==> (((a a)((^x.x) b)) a) 4. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 120240/11888658. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(^z.(^x1.z))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 120241/11888829. ------ 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. ------ 120242/11889180. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(^x1.((x1 x1) x1))) 3. ==[ beta ]==> ((^y.y)(^x1.((x1 x1) x1))) 4. ==[ alpha ]==> ((^x.x)(^y.((y y) y))) 5. ==[ beta ]==> (^y.((y y) y)) 6. ==[ alpha ]==> (^x.((x x) x)) REDUCED to normal form. ------ 120243/11889315. ------ 1. ==[ start ]==> (((^a.b)(a b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (^x.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120244/11889459. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.(^b.(^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. ------ 120245/11889603. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 120246/11889738. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120247/11889846. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^b.(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(a (a a)))) REDUCED to normal form. ------ 120248/11889870. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(^x1.x1))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120249/11889963. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(x2 (x2 x2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(x2 (x2 x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120250/11890044. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> (b (^z.((^x1.x1) a))) 4. ==[ alpha ]==> (b (^x.((^y.y) a))) 5. ==[ beta ]==> (b (^x.a)) REDUCED to normal form. ------ 120251/11890215. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 120252/11890422. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(x (^y.y)))) REDUCED to normal form. ------ 120253/11890458. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.z)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 120254/11890530. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(x1 x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120255/11890539. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.a)) REDUCED to normal form. ------ 120256/11890569. ------ 1. ==[ start ]==> ((a a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a a)((^y.y) a)) 4. ==[ alpha ]==> ((a a)((^x.x) a)) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 120257/11890587. ------ 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. ------ 120258/11890596. ------ 1. ==[ start ]==> ((a (a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 120259/11890614. ------ 1. ==[ start ]==> (((a a) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 120260/11890668. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> (b ((a a)(^y.b))) 6. ==[ alpha ]==> (b ((a a)(^x.b))) REDUCED to normal form. ------ 120261/11890677. ------ 1. ==[ start ]==> (((a a)(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(a b))) 3. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 120262/11890695. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 120263/11890704. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (a (^x.x))) b) REDUCED to normal form. ------ 120264/11890722. ------ 1. ==[ start ]==> (((a a) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 120265/11890776. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 120266/11890803. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a) a)(^b.b))) 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. ------ 120267/11890839. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 120268/11890866. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(b (^y.y))) REDUCED to normal form. ------ 120269/11890938. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) b) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(b c)) REDUCED to normal form. ------ 120270/11891082. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 120271/11891163. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 120272/11891199. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))(c ((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y) b))) 5. ==[ beta ]==> (c ((^y.y) b)) 6. ==[ alpha ]==> (c ((^x.x) b)) 7. ==[ beta ]==> (c b) REDUCED to normal form. ------ 120273/11891253. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(a (b (^z.z)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(a (b (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(a (b (^z.z)))) 5. ==[ beta ]==> ((^y.y)(a (b (^z.z)))) 6. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 120274/11891280. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 120275/11891307. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((^y.y) b)(a (^z.z))) 6. ==[ alpha ]==> (((^x.x) b)(a (^y.y))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 120276/11891316. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) c) REDUCED to normal form. ------ 120277/11891361. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((b a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a (a a)))) REDUCED to normal form. ------ 120278/11891388. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z))(^x1.x1))) REDUCED to normal form. ------ 120279/11891523. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(b a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(b a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120280/11891550. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 120281/11891604. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 120282/11891640. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((^y.y) a)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((^x.x) a)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (a (((a a)(a a))(^y.y))) 6. ==[ alpha ]==> (a (((a a)(a a))(^x.x))) REDUCED to normal form. ------ 120283/11891667. ------ 1. ==[ start ]==> (((a a)(^b.(^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. ------ 120284/11891694. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 120285/11891721. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.a))((b a)(^y.(y y)))) REDUCED to normal form. ------ 120286/11891748. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120287/11891811. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(a b))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 120288/11891865. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 120289/11891892. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))((b a)(b a))) REDUCED to normal form. ------ 120290/11891919. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a a)((^y.a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 120291/11891946. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 120292/11892279. ------ 1. ==[ start ]==> ((a (^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))(c (a (^y.(^z.z))))) REDUCED to normal form. ------ 120293/11892297. ------ 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. ------ 120294/11892468. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.b)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 120295/11892549. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) IRREDUCIBLE: cycle. ------ 120296/11892630. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 120297/11892657. ------ 1. ==[ start ]==> (((^a.a)(a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a b))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a b)((a a)((^y.y) b))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x) b))) 5. ==[ beta ]==> ((a b)((a a) b)) REDUCED to normal form. ------ 120298/11892720. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) REDUCED to normal form. ------ 120299/11892747. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((b a)(^y.a))) REDUCED to normal form. ------ 120300/11892774. ------ 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)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.a)(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.a)(((a a)(^y.y))(^z.(z z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120301/11892801. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 120302/11892828. ------ 1. ==[ start ]==> (((a b)(^a.a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 120303/11892864. ------ 1. ==[ start ]==> (((a a)(a b))((^c.a)(a b))) 2. ==[ alpha ]==> (((a a)(a b))((^x.a)(a b))) 3. ==[ beta ]==> (((a a)(a b)) a) REDUCED to normal form. ------ 120304/11892891. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.y)) REDUCED to normal form. ------ 120305/11892918. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))(((a a)(^z.z))((a a)(^z.z)))) 8. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 120306/11892945. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) a) REDUCED to normal form. ------ 120307/11892972. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (a ((^y.(^z.z))(a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a ((^x.(^y.y))(a (^z.(^x1.x1))))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 120308/11892999. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y)((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))((^z.z) b)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.y) b)) 5. ==[ beta ]==> ((((a a) a)(a (^x.x))) b) REDUCED to normal form. ------ 120309/11893017. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y) b) a)) 3. ==[ beta ]==> (b (((^y.y) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 120310/11893026. ------ 1. ==[ start ]==> (((a b)(a a))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 120311/11893053. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (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. ------ 120312/11893305. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 120313/11893359. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((a (^y1.(^z1.z1)))(a a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(a a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(a a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(a a))) 9. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(a a))) 10. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(a a))) 11. ==[ beta ]==> ((a (^y.(^z.z)))(a a)) 12. ==[ alpha ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120314/11893368. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 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. ------ 120315/11893422. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^c.(^a.a)) d)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 120316/11893440. ------ 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))(a (a a)))) 3. ==[ beta ]==> (b (((^z.z)(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. ------ 120317/11893620. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(b (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(b (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120318/11893647. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(a (^b.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(a (^y.y))) 3. ==[ beta ]==> ((((a a) a) a)(a (^y.y))) 4. ==[ alpha ]==> ((((a a) a) a)(a (^x.x))) REDUCED to normal form. ------ 120319/11893665. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b) c)((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. ------ 120320/11893674. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 120321/11893908. ------ 1. ==[ start ]==> (((a b) c)((a (^a.a))(^d.a))) 2. ==[ alpha ]==> (((a b) c)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 120322/11893935. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120323/11893962. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 120324/11894016. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a)(^z.z)) c)) REDUCED to normal form. ------ 120325/11894241. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120326/11894484. ------ 1. ==[ start ]==> ((a (b a))(c (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (b a))(c (^x.(^y.y)))) REDUCED to normal form. ------ 120327/11894718. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a (a a))(^y.b))) REDUCED to normal form. ------ 120328/11894826. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((b a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((b a) a)) 3. ==[ beta ]==> ((a (^y.(a a)))((b a) a)) 4. ==[ alpha ]==> ((a (^x.(a a)))((b a) a)) REDUCED to normal form. ------ 120329/11894853. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 120330/11895051. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 120331/11895321. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 120332/11895330. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120333/11895609. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a)(^z.z)) a)) REDUCED to normal form. ------ 120334/11895636. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a) b)) REDUCED to normal form. ------ 120335/11895789. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(c (a b))) 3. ==[ beta ]==> (b (c (a b))) REDUCED to normal form. ------ 120336/11895852. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 120337/11895897. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((a b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120338/11895906. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.b) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) b) REDUCED to normal form. ------ 120339/11895924. ------ 1. ==[ start ]==> ((a (^b.b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> ((a (^x.x))(((a a) a) a)) REDUCED to normal form. ------ 120340/11896050. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(b (^y.(a a)))) 5. ==[ beta ]==> ((a b)(b (^y.(a a)))) 6. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 120341/11896104. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a b)(^y.y))((^z.(a a))(a a))) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))(a a))) 5. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 120342/11896131. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.b)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a))) b) REDUCED to normal form. ------ 120343/11896203. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((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. ------ 120344/11896212. ------ 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 z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(((^x1.x1)(^y1.y1))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)((^x1.x1)(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.x1))) 9. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 10. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 120345/11896239. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.a)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)((a a) a))) 3. ==[ beta ]==> ((a b)((^y.a)((a a) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((a a) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 120346/11896518. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(a ((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120347/11896527. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 120348/11896554. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b) b)) 3. ==[ beta ]==> ((b a)((^y.b) b)) 4. ==[ alpha ]==> ((b a)((^x.b) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 120349/11896572. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y) b)(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x) b)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(a (^y.y)))) 6. ==[ alpha ]==> (b (((a a) a)(a (^x.x)))) REDUCED to normal form. ------ 120350/11896581. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a) c)) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 120351/11896599. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((^x2.x2) 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. ------ 120352/11896653. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 120353/11896743. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.y))) REDUCED to normal form. ------ 120354/11896770. ------ 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)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((a a) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 120355/11896797. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(^x1.a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.a)) REDUCED to normal form. ------ 120356/11896851. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(^z1.z1)))) REDUCED to normal form. ------ 120357/11896878. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 120358/11896914. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.y)(a b))) 3. ==[ beta ]==> (((a a) b)((^y.y)(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.x)(a b))) 5. ==[ beta ]==> (((a a) b)(a b)) REDUCED to normal form. ------ 120359/11896941. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 120360/11896968. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 120361/11896995. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))(^x1.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. ------ 120362/11897022. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(^z.(z z)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) 9. ==[ beta ]==> ((a a)((^y.(y y))(^y.(y y)))) 10. ==[ alpha ]==> ((a a)((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 120363/11897049. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 120364/11897076. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 120365/11897103. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 120366/11897274. ------ 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. ------ 120367/11897598. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(b (^y.y))) 6. ==[ alpha ]==> (((a a)(a a))(b (^x.x))) REDUCED to normal form. ------ 120368/11897625. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(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. ------ 120369/11897634. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a) a)) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 120370/11897661. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 120371/11897679. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a))(a (^y.y)))) 3. ==[ beta ]==> (((b a)(b a))((a (a a))(a (^y.y)))) 4. ==[ alpha ]==> (((b a)(b a))((a (a a))(a (^x.x)))) REDUCED to normal form. ------ 120372/11897760. ------ 1. ==[ start ]==> (((^a.b)(a b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 120373/11897823. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120374/11897877. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(^y1.(y1 y1)))) REDUCED to normal form. ------ 120375/11897904. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)(^b.(^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. ------ 120376/11897931. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y) a)) 5. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 120377/11897967. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 120378/11897994. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 120379/11898021. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 120380/11898048. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 120381/11898129. ------ 1. ==[ start ]==> (((a b)(a b))(c (^b.a))) 2. ==[ alpha ]==> (((a b)(a b))(c (^x.a))) REDUCED to normal form. ------ 120382/11898156. ------ 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. ------ 120383/11898183. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 120384/11898237. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 120385/11898264. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 120386/11898291. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.x)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (a a))) REDUCED to normal form. ------ 120387/11898318. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(^z.z))) 3. ==[ beta ]==> ((a (b (^x.x)))((^z.z)(^z.z))) 4. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a (b (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a (b (^x.x)))(^y.y)) REDUCED to normal form. ------ 120388/11898408. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(a (a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(a (a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(a (a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120389/11898489. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)((^z.z) a))) 3. ==[ beta ]==> (b ((a a)((^z.z) a))) 4. ==[ alpha ]==> (b ((a a)((^x.x) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 120390/11898633. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y)) b)) 3. ==[ beta ]==> ((b c)((a (^y.y)) b)) 4. ==[ alpha ]==> ((b c)((a (^x.x)) b)) REDUCED to normal form. ------ 120391/11898660. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a) c)) REDUCED to normal form. ------ 120392/11898705. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 120393/11898732. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^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. ------ 120394/11898768. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(^a.a))) 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. ------ 120395/11898786. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b b)) REDUCED to normal form. ------ 120396/11898795. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120397/11898867. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (a (^z.z)))) 3. ==[ beta ]==> (b (a (a (^z.z)))) 4. ==[ alpha ]==> (b (a (a (^x.x)))) REDUCED to normal form. ------ 120398/11898876. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 120399/11898903. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z) b)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) b)) 5. ==[ beta ]==> (((a a)(^x.b)) b) REDUCED to normal form. ------ 120400/11898975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120401/11898984. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) a) REDUCED to normal form. ------ 120402/11899010. ------ 1. ==[ start ]==> (^a.(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (^x.(((^y.y) b)(^z.x))) 3. ==[ beta ]==> (^x.(b (^z.x))) 4. ==[ alpha ]==> (^x.(b (^y.x))) REDUCED to normal form. ------ 120403/11899011. ------ 1. ==[ start ]==> (a (((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (a (((^x.x) b)(^y.a))) 3. ==[ beta ]==> (a (b (^y.a))) 4. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 120404/11907459. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a)) a) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a)) a) 3. ==[ beta ]==> ((b (^y.a)) a) 4. ==[ alpha ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 120405/11907465. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((^y.y) b)(^z.a)) 4. ==[ alpha ]==> (((^x.x) b)(^y.a)) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 120406/11907474. ------ 1. ==[ start ]==> ((^a.(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120407/11907492. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(^x1.(x1 x1)))((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) REDUCED to normal form. ------ 120408/11907519. ------ 1. ==[ start ]==> ((^a.b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 120409/11907600. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^z.(a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 120410/11907717. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (^x.((^y.a)((^z.z) b))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 120411/11907789. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.((^y.y) x))((b (^z.z)) a)) 3. ==[ eta ]==> ((^y.y)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 120412/11907960. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 120413/11908161. ------ 1. ==[ start ]==> (((a (a a)) a)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(^x.(b (^y.y)))) REDUCED to normal form. ------ 120414/11908512. ------ 1. ==[ start ]==> (((a (a a)) b)(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(^x.((a a)(a a)))) REDUCED to normal form. ------ 120415/11908842. ------ 1. ==[ start ]==> ((^a.((a a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a (^y.y))(^z.z))) 3. ==[ beta ]==> ((((a (^y.y))(^z.z))((a (^y.y))(^z.z)))((a (^y.y))(^z.z))) 4. ==[ alpha ]==> ((((a (^x.x))(^y.y))((a (^z.z))(^x1.x1)))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 120416/11908881. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 120417/11909175. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 120418/11909565. ------ 1. ==[ start ]==> (((a a)(^a.b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 120419/11909742. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.b)((a a) a))) 3. ==[ beta ]==> (^y.(((^z.b)((a a) a))((^z.b)((a a) a)))) 4. ==[ alpha ]==> (^x.(((^y.b)((a a) a))((^z.b)((a a) a)))) 5. ==[ beta ]==> (^x.(b ((^z.b)((a a) a)))) 6. ==[ alpha ]==> (^x.(b ((^y.b)((a a) a)))) 7. ==[ beta ]==> (^x.(b b)) REDUCED to normal form. ------ 120420/11909949. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.y)(((a (^z.(^x1.x1))) b)((a (^z.(^x1.x1))) b))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.(^z.z))) b)((a (^x1.(^y1.y1))) b))) 5. ==[ beta ]==> (((a (^y.(^z.z))) b)((a (^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a (^z.(^x1.x1))) b)) REDUCED to normal form. ------ 120421/11910624. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((((a a)(^z.z))(^x1.a))(((a a)(^z.z))(^x1.a)))(^y.y)) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.a))(((a a)(^z.z))(^x1.a)))(^y1.y1)) REDUCED to normal form. ------ 120422/11911929. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 120423/11912499. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(^y1.((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120424/11912751. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 120425/11913135. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 120426/11913417. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120427/11913426. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^z.(z z))) REDUCED to normal form. ------ 120428/11913615. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^c.(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a b))) REDUCED to normal form. ------ 120429/11913633. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 120430/11913813. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.b))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.b))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.b))) REDUCED to normal form. ------ 120431/11914524. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^b.(^c.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. ------ 120432/11914533. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((z z) z))) REDUCED to normal form. ------ 120433/11914668. ------ 1. ==[ start ]==> (((a b)(^a.b))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.b))(^y.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 120434/11915214. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a)) a)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120435/11915307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120436/11915496. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120437/11915766. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 120438/11915775. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 120439/11915802. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a a))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 120440/11915874. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120441/11915883. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(x1 x1))) REDUCED to normal form. ------ 120442/11915910. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.z)) 3. ==[ beta ]==> ((b (^y.a))(^z.z)) 4. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 120443/11915922. ------ 1. ==[ start ]==> ((a a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> ((a a)(b (^y.a))) 4. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 120444/11915931. ------ 1. ==[ start ]==> ((a (^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 120445/11915949. ------ 1. ==[ start ]==> ((a (a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 120446/11915958. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120447/11915976. ------ 1. ==[ start ]==> ((a b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 120448/11916030. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a a)(a a))((a a)(^y.b))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(^x.b))) REDUCED to normal form. ------ 120449/11916057. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 120450/11916066. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120451/11916120. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 120452/11916147. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 120453/11916174. ------ 1. ==[ start ]==> ((a (^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 120454/11916246. ------ 1. ==[ start ]==> ((a ((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 120455/11916336. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (a ((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 120456/11916417. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 120457/11916525. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(y y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.(y y))(^z.(^x1.(^y1.y1))))((^y.(y y))(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 9. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.(^z2.(^x3.x3))))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120458/11916552. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120459/11916588. ------ 1. ==[ start ]==> ((((^a.a) a) b)(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)(b ((a a)(a a)))) 3. ==[ beta ]==> ((a b)(b ((a a)(a a)))) REDUCED to normal form. ------ 120460/11916615. ------ 1. ==[ start ]==> (((a (a a)) a)(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a)) a)(a (b (^x.x)))) REDUCED to normal form. ------ 120461/11916642. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 120462/11916669. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(b (a (^z.z)))) REDUCED to normal form. ------ 120463/11916696. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 120464/11916723. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 120465/11916831. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((b b)(((a a) a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((b b)(((a a) a)((^x.x)(a a)))) 5. ==[ beta ]==> ((b b)(((a a) a)(a a))) REDUCED to normal form. ------ 120466/11916957. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(b (^y1.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^y1.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 120467/11916966. ------ 1. ==[ start ]==> (((a (a a)) b)((a a)((a a)(a a)))) REDUCED to normal form. ------ 120468/11917038. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 120469/11917164. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b)(^z.b))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.b))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.b))) REDUCED to normal form. ------ 120470/11917191. ------ 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. ------ 120471/11917272. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((a a)(((^x.x) 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. ------ 120472/11917299. ------ 1. ==[ start ]==> ((a ((a a) a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((a ((a a) a))((a (^x.x))(^y.y))) REDUCED to normal form. ------ 120473/11917335. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 120474/11917389. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (a (^y.(^z.z))) 8. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 120475/11917497. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((^y.(a a))(^z.a)) 6. ==[ alpha ]==> ((^x.(a a))(^y.a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120476/11917632. ------ 1. ==[ start ]==> ((a (^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 120477/11917731. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.b) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.y) b)) 3. ==[ beta ]==> (((a (a a)) a)((^y.y) b)) 4. ==[ alpha ]==> (((a (a a)) a)((^x.x) b)) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 120478/11917803. ------ 1. ==[ start ]==> (((^a.b) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b) a)(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 120479/11917965. ------ 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. ------ 120480/11917983. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (c (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120481/11917992. ------ 1. ==[ start ]==> (((a b) a)((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 120482/11918010. ------ 1. ==[ start ]==> (((^a.a)(a b))(b (^b.b))) 2. ==[ alpha ]==> (((^x.x)(a b))(b (^y.y))) 3. ==[ beta ]==> ((a b)(b (^y.y))) 4. ==[ alpha ]==> ((a b)(b (^x.x))) REDUCED to normal form. ------ 120483/11918019. ------ 1. ==[ start ]==> (((a a)(^a.b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a a)(^x.b))((a a) b)) REDUCED to normal form. ------ 120484/11918091. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(a (^x1.x1)))) 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. ------ 120485/11918172. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 120486/11918199. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 120487/11918217. ------ 1. ==[ start ]==> (((a a)(a b))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a b))(((a a) a)(^x.b))) REDUCED to normal form. ------ 120488/11918244. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a) a))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a) a))((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))((a a) a))(^z.(a a))) 6. ==[ alpha ]==> (((a (^x.x))((a a) a))(^y.(a a))) REDUCED to normal form. ------ 120489/11918325. ------ 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.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y) a)((a (^z.z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x) a)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (a ((a (^y.y))(^z.(^x1.(^y1.y1))))) 8. ==[ alpha ]==> (a ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 120490/11918352. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 120491/11918379. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x) b) a)) 3. ==[ beta ]==> (((a b)(a a))(b a)) REDUCED to normal form. ------ 120492/11918406. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 120493/11918415. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120494/11918496. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(a a))(^z1.(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120495/11918577. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120496/11918640. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))(c (b a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))(c (b a))) REDUCED to normal form. ------ 120497/11918658. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120498/11918667. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 120499/11918721. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 120500/11918748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((b a)(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((b a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((b a)(a (^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((b a)(a (^z.z)))) 6. ==[ alpha ]==> ((^x.(x x))((b a)(a (^y.y)))) 7. ==[ beta ]==> (((b a)(a (^y.y)))((b a)(a (^y.y)))) 8. ==[ alpha ]==> (((b a)(a (^x.x)))((b a)(a (^y.y)))) REDUCED to normal form. ------ 120501/11918775. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 120502/11918802. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(a (a a)))) REDUCED to normal form. ------ 120503/11918829. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 120504/11919027. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 120505/11919054. ------ 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. ------ 120506/11919081. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 120507/11919117. ------ 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))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))(a (a a))) 6. ==[ alpha ]==> ((^x.(a a))(a (a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120508/11919252. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 120509/11919333. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 120510/11919414. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(a a))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 120511/11919495. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120512/11919621. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 120513/11920008. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.b)(a (a a)))) 3. ==[ beta ]==> (b ((^z.b)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.b)(a (a a)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 120514/11920116. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 120515/11920143. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((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. ------ 120516/11920278. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(y y)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 120517/11920386. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 120518/11920485. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 120519/11920512. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(a a)) c)) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) c)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) c)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 120520/11920665. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120521/11920683. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(b (^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(b (^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b (^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120522/11920764. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> ((a a)((^z.(a a))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 120523/11920845. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120524/11920953. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.y1)((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120525/11921007. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120526/11921142. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 120527/11921151. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(c (a b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (a b))) REDUCED to normal form. ------ 120528/11921178. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(b (a a))) REDUCED to normal form. ------ 120529/11921205. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 120530/11921259. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((a b)(a (^x1.x1)))) REDUCED to normal form. ------ 120531/11921457. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 120532/11921484. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 120533/11921511. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((a a) a)(^y.a))) REDUCED to normal form. ------ 120534/11921565. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 120535/11921592. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(^z.a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(^y.a))) 5. ==[ beta ]==> ((a b)(a (^y.a))) 6. ==[ alpha ]==> ((a b)(a (^x.a))) REDUCED to normal form. ------ 120536/11921601. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120537/11921628. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a b))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120538/11921763. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120539/11921871. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.z1)(^x2.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.z1)(^x2.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120540/11921880. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a (a a))) REDUCED to normal form. ------ 120541/11921907. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b)(a a))) 3. ==[ beta ]==> ((b a)((a b)(a a))) REDUCED to normal form. ------ 120542/11921934. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a)(a (^y.y)))) REDUCED to normal form. ------ 120543/11921961. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1)((^x2.x2) a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.z1) a)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1) a)) 7. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 120544/11922042. ------ 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 (^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(a a))((a (^z.z))((a a) a))) 6. ==[ alpha ]==> ((^x.(a a))((a (^y.y))((a a) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120545/11922069. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a a)(a b))) REDUCED to normal form. ------ 120546/11922087. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 120547/11922195. ------ 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 (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))(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. ------ 120548/11922267. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(^y.b))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.b))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.b))) REDUCED to normal form. ------ 120549/11922294. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b) a)) REDUCED to normal form. ------ 120550/11922321. ------ 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. ------ 120551/11922483. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 120552/11922537. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1)) c)) 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. ------ 120553/11922627. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b (^x1.a))) 3. ==[ beta ]==> ((^y.y)(b (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(b (^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 120554/11922762. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 120555/11922870. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120556/11922951. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.(^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. ------ 120557/11922978. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 120558/11922987. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(a ((a a) a))) REDUCED to normal form. ------ 120559/11923014. ------ 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.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(a a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1)(a a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1)(a a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 120560/11923095. ------ 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. ------ 120561/11923113. ------ 1. ==[ start ]==> (((^a.b)(a b))(b (^b.(^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. ------ 120562/11923122. ------ 1. ==[ start ]==> (((a b)(^a.b))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))((a a)(^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 120563/11923221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.a)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120564/11923230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c d)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c d)) REDUCED to normal form. ------ 120565/11923320. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a)) b)) REDUCED to normal form. ------ 120566/11923347. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a) c)) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a) c)) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a) c)) 5. ==[ beta ]==> (((a (^x.x)) b)(a c)) REDUCED to normal form. ------ 120567/11923428. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 120568/11923455. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(y y)) b)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y)) b)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x)) b)) 5. ==[ beta ]==> ((((a a) a)(a a))(b b)) REDUCED to normal form. ------ 120569/11923482. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a) c)) 2. ==[ alpha ]==> (((a b)(a b))((^x.a) c)) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 120570/11923590. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 120571/11923617. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 120572/11923644. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a a)(^x.(x x)))) REDUCED to normal form. ------ 120573/11923671. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a)) a)) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a)) a)) REDUCED to normal form. ------ 120574/11923761. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(^y2.(y2 y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(^y2.(y2 y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120575/11923842. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 120576/11923950. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120577/11923986. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (a a))) 3. ==[ beta ]==> ((b c)(c (a a))) REDUCED to normal form. ------ 120578/11924013. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (a (^x.x)))) REDUCED to normal form. ------ 120579/11924058. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (^z.z))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.z))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.y))) REDUCED to normal form. ------ 120580/11924085. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(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. ------ 120581/11924121. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c a)) 3. ==[ beta ]==> ((a (^y.y))(c a)) 4. ==[ alpha ]==> ((a (^x.x))(c a)) REDUCED to normal form. ------ 120582/11924139. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 120583/11924148. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b b)) REDUCED to normal form. ------ 120584/11924220. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120585/11924229. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (a (^y.y)))) REDUCED to normal form. ------ 120586/11924256. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(a a))) REDUCED to normal form. ------ 120587/11924328. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120588/11924337. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a a))) REDUCED to normal form. ------ 120589/11924364. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a a)) 3. ==[ beta ]==> ((b (^y.a))(a a)) 4. ==[ alpha ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 120590/11932821. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a)) b) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a)) b) 3. ==[ beta ]==> ((b (^y.a)) b) 4. ==[ alpha ]==> ((b (^x.a)) b) REDUCED to normal form. ------ 120591/11932845. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120592/11933088. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a) a)(^b.b))) 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. ------ 120593/11933781. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120594/11934252. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(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. ------ 120595/11934621. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 120596/11934726. ------ 1. ==[ start ]==> ((^a.(a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x b))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))(a (a a))) b) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 120597/11935113. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a b)(^z.a))) 3. ==[ beta ]==> (^y.(((a b)(^z.a))((a b)(^z.a)))) 4. ==[ alpha ]==> (^x.(((a b)(^y.a))((a b)(^z.a)))) REDUCED to normal form. ------ 120598/11935287. ------ 1. ==[ start ]==> (((^a.b) b)(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.((^z.z) y))) 3. ==[ eta ]==> (((^x.b) b)(^z.z)) 4. ==[ alpha ]==> (((^x.b) b)(^y.y)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120599/11935935. ------ 1. ==[ start ]==> (((^a.b) c)(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120600/11936232. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 120601/11936538. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 120602/11936751. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y) a)((^z.z)(a a)))) 3. ==[ eta ]==> (b (((^y.y) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 120603/11937096. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(z a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(z a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(y a))) REDUCED to normal form. ------ 120604/11937375. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x) a)((^y.y)(a a))) b) 4. ==[ beta ]==> ((a ((^y.y)(a a))) b) 5. ==[ alpha ]==> ((a ((^x.x)(a a))) b) 6. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 120605/11937588. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x1.x1))((^y1.y1)(a a)))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 120606/11937879. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 120607/11938122. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120608/11938191. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.b) c)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.b) c)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120609/11938797. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(^x1.(a a)))) REDUCED to normal form. ------ 120610/11939013. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(y y)))) REDUCED to normal form. ------ 120611/11939400. ------ 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. ------ 120612/11939505. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y) a)(a (a a)))) 3. ==[ beta ]==> (((((^y.y) a)(a (a a)))(((^y.y) a)(a (a a))))((((^y.y) a)(a (a a)))(((^y.y) a)(a (a a))))) 4. ==[ alpha ]==> (((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a))))((((^z.z) a)(a (a a)))(((^x1.x1) a)(a (a a))))) 5. ==[ beta ]==> (((a (a (a a)))(((^y.y) a)(a (a a))))((((^z.z) a)(a (a a)))(((^x1.x1) a)(a (a a))))) 6. ==[ alpha ]==> (((a (a (a a)))(((^x.x) a)(a (a a))))((((^y.y) a)(a (a a)))(((^z.z) a)(a (a a))))) 7. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))((((^y.y) a)(a (a a)))(((^z.z) a)(a (a a))))) 8. ==[ alpha ]==> (((a (a (a a)))(a (a (a a))))((((^x.x) a)(a (a a)))(((^y.y) a)(a (a a))))) 9. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))((a (a (a a)))(((^y.y) a)(a (a a))))) 10. ==[ alpha ]==> (((a (a (a a)))(a (a (a a))))((a (a (a a)))(((^x.x) a)(a (a a))))) 11. ==[ beta ]==> (((a (a (a a)))(a (a (a a))))((a (a (a a)))(a (a (a a))))) REDUCED to normal form. ------ 120613/11939904. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 120614/11940201. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^y.(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 120615/11940345. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 120616/11941038. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.z))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.z))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.y))) REDUCED to normal form. ------ 120617/11941137. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.b)) 3. ==[ beta ]==> (b (^z.b)) 4. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 120618/11941146. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120619/11941254. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 120620/11941281. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 120621/11941311. ------ 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. ------ 120622/11941320. ------ 1. ==[ start ]==> (((^a.a) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120623/11941338. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 120624/11941347. ------ 1. ==[ start ]==> (((a a) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 120625/11941365. ------ 1. ==[ start ]==> (((^a.a)(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 120626/11941401. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120627/11941428. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120628/11941446. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120629/11941455. ------ 1. ==[ start ]==> (((a a) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 120630/11941509. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 120631/11941527. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 120632/11941536. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a (^x1.(^y1.y1)))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.(^x1.x1)))(a (^y1.(^z1.z1))))) REDUCED to normal form. ------ 120633/11941554. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a) a)(^b.b))) 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. ------ 120634/11941590. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120635/11941635. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.a))((b (^z.z)) a)) 3. ==[ beta ]==> ((^y.a)((b (^z.z)) a)) 4. ==[ alpha ]==> ((^x.a)((b (^y.y)) a)) 5. ==[ beta ]==> a REDUCED to normal form. ------ 120636/11941662. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 120637/11941671. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(a a)) REDUCED to normal form. ------ 120638/11941698. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 120639/11941725. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 120640/11941968. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 120641/11942139. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 120642/11942166. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a a)((a a) a))) REDUCED to normal form. ------ 120643/11942193. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a b)(a b))) 3. ==[ beta ]==> ((a (a (^y.y)))((a b)(a b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a b)(a b))) REDUCED to normal form. ------ 120644/11942220. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)(a a))) REDUCED to normal form. ------ 120645/11942247. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 120646/11942346. ------ 1. ==[ start ]==> (((a (a a)) b)(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a)) b)(b (^x.(a a)))) REDUCED to normal form. ------ 120647/11942391. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 120648/11942400. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((^c.(a a))(a a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120649/11942418. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (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. ------ 120650/11942427. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 120651/11942454. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 120652/11942472. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 120653/11942715. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(^y.(a a))) 6. ==[ alpha ]==> ((a a)(^x.(a a))) REDUCED to normal form. ------ 120654/11942769. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) b) b)) 5. ==[ beta ]==> (a (((^z.z) b) b)) 6. ==[ alpha ]==> (a (((^x.x) b) b)) 7. ==[ beta ]==> (a (b b)) REDUCED to normal form. ------ 120655/11942805. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120656/11942886. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 120657/11942913. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.b)(^z.b))) 5. ==[ beta ]==> ((a (^x.(x x))) b) REDUCED to normal form. ------ 120658/11942940. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.a)) a) REDUCED to normal form. ------ 120659/11942967. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(^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. ------ 120660/11943057. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z) b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 120661/11943084. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(a ((a a)(a a)))) REDUCED to normal form. ------ 120662/11943111. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 120663/11943138. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((a (^x1.(^y1.y1)))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(a (^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(a (^x1.x1)))) REDUCED to normal form. ------ 120664/11943165. ------ 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. ------ 120665/11943192. ------ 1. ==[ start ]==> ((a (a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (a b))(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 120666/11943372. ------ 1. ==[ start ]==> (((a b) a)(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b) a)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120667/11943399. ------ 1. ==[ start ]==> (((a a)(^a.b))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 120668/11943453. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120669/11943471. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 120670/11943480. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 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. ------ 120671/11943552. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 120672/11943561. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 120673/11943579. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.a))) REDUCED to normal form. ------ 120674/11943750. ------ 1. ==[ start ]==> (((^a.b) b)((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.y)((^z.z) b))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 5. ==[ beta ]==> (b ((^y.y) b)) 6. ==[ alpha ]==> (b ((^x.x) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 120675/11943795. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((^y.(a a))((a (^z.(^x1.x1))) b)) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.(^z.z))) b)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120676/11943822. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((b a) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((b a) c)) 3. ==[ beta ]==> ((^y.y)((b a) c)) 4. ==[ alpha ]==> ((^x.x)((b a) c)) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 120677/11943966. ------ 1. ==[ start ]==> (((a b) b)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 120678/11944047. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 120679/11944092. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1) a)) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1) a)) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1) a)) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1) a)) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1) a)) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1) a)) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z) a)) 9. ==[ beta ]==> ((^y.y)((^z.z) a)) 10. ==[ alpha ]==> ((^x.x)((^y.y) a)) 11. ==[ beta ]==> ((^y.y) a) 12. ==[ alpha ]==> ((^x.x) a) 13. ==[ beta ]==> a REDUCED to normal form. ------ 120680/11944173. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) d)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) d)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120681/11944245. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 120682/11944272. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a b))((^z.z)(a b))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(a b))) 5. ==[ beta ]==> (((a (^x.x))(a b))(a b)) REDUCED to normal form. ------ 120683/11944299. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a) a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((a ((a a) a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((a ((a a) a))((a (a a))(a a))) REDUCED to normal form. ------ 120684/11944326. ------ 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)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))(a ((a a)(^z.z)))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 120685/11944353. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (^z.z))(b a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (^z.z))(b a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (a a))((a (^y.y))(b a))) 6. ==[ alpha ]==> ((a (a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 120686/11944380. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> ((((a a) a) a)((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 120687/11944398. ------ 1. ==[ start ]==> (((^a.b) c)(a (^b.b))) 2. ==[ alpha ]==> (((^x.b) c)(a (^y.y))) 3. ==[ beta ]==> (b (a (^y.y))) 4. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 120688/11944497. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1)(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.(z z))) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.(y y))) 7. ==[ beta ]==> ((a a)(^y.(y y))) 8. ==[ alpha ]==> ((a a)(^x.(x x))) REDUCED to normal form. ------ 120689/11944632. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 120690/11944641. ------ 1. ==[ start ]==> (((a b) c)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 120691/11944668. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(b a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 120692/11944695. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(a (^y.(^z.z)))) REDUCED to normal form. ------ 120693/11944713. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 120694/11944740. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((b a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((b a) b)) 3. ==[ beta ]==> ((^y.y)((b a) b)) 4. ==[ alpha ]==> ((^x.x)((b a) b)) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 120695/11944776. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 120696/11944830. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120697/11944884. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 120698/11944911. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(z z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.(a a))(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(a a)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120699/11944938. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 120700/11944974. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))(b (b a))) REDUCED to normal form. ------ 120701/11945001. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 120702/11945028. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((b a)(a a))) 3. ==[ beta ]==> ((a (a b))((b a)(a a))) REDUCED to normal form. ------ 120703/11945055. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 120704/11945082. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((^y1.y1)(a a))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(a a))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(a a))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(a a))((^x1.x1) a))) 7. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1) a))) 8. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z) a))) 9. ==[ beta ]==> (((^y.y)(a a))((^z.z) a)) 10. ==[ alpha ]==> (((^x.x)(a a))((^y.y) a)) 11. ==[ beta ]==> ((a a)((^y.y) a)) 12. ==[ alpha ]==> ((a a)((^x.x) a)) 13. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 120705/11945109. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((a b)(a (a a)))) REDUCED to normal form. ------ 120706/11945136. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a) a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)(((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)(((a a) a)(^y.y))) 6. ==[ alpha ]==> (((a b) a)(((a a) a)(^x.x))) REDUCED to normal form. ------ 120707/11945163. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(^z.z))((a a) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((^z.z)((a a) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)((a a) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 120708/11945190. ------ 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))) REDUCED to normal form. ------ 120709/11945217. ------ 1. ==[ start ]==> ((a (b a))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (b a))(((^x.x) a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a (b a))(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((a (b a))(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((a (b a))(a (a a))) REDUCED to normal form. ------ 120710/11945307. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((b a)(^z.z))) 3. ==[ beta ]==> (((^y.b)(^y.b))((b a)(^z.z))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((b a)(^z.z))) 5. ==[ beta ]==> (b ((b a)(^z.z))) 6. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 120711/11945388. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a b)(^z.(z z)))) 3. ==[ beta ]==> (b ((a b)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a b)(^x.(x x)))) REDUCED to normal form. ------ 120712/11945451. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 120713/11945496. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> ((b a)(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> ((b a)(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> ((b a)(a (^y.(a a)))) 6. ==[ alpha ]==> ((b a)(a (^x.(a a)))) REDUCED to normal form. ------ 120714/11945559. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.z)(b a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.(a a)))(b a)) REDUCED to normal form. ------ 120715/11945577. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((b a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a b))((b a) a)) 3. ==[ beta ]==> (((a b)(a b))((b a) a)) REDUCED to normal form. ------ 120716/11945640. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 120717/11945667. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.b)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) b) REDUCED to normal form. ------ 120718/11945694. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 120719/11945721. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 120720/11945784. ------ 1. ==[ start ]==> (((a a)(b a))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(b a))(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a a)(b a))(c (a a))) REDUCED to normal form. ------ 120721/11945811. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 120722/11945838. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(a (b a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(a (b a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(a (b a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(a (b a))) 5. ==[ beta ]==> ((a (a a))(a (b a))) REDUCED to normal form. ------ 120723/11945865. ------ 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))) REDUCED to normal form. ------ 120724/11945892. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 120725/11945919. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((a b)((^z.z) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((a b)((^y.y) a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a b) a)) REDUCED to normal form. ------ 120726/11945946. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 120727/11945973. ------ 1. ==[ start ]==> ((((^a.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)(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a) a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (((a a) a)((^y.y)(^z.z))) 10. ==[ alpha ]==> (((a a) a)((^x.x)(^y.y))) 11. ==[ beta ]==> (((a a) a)(^y.y)) 12. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 120728/11946000. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a (a a))((a a) a))) REDUCED to normal form. ------ 120729/11946054. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a a))) REDUCED to normal form. ------ 120730/11946144. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(a a))(^x1.(^y1.y1)))) 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. ------ 120731/11946225. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b (((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120732/11946342. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.z))) REDUCED to normal form. ------ 120733/11946360. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 120734/11946387. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((^y.y)(a a)) b) 6. ==[ alpha ]==> (((^x.x)(a a)) b) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 120735/11946450. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 120736/11946477. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 120737/11946531. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 120738/11946558. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 120739/11946585. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 120740/11946630. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(a a)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120741/11946657. ------ 1. ==[ start ]==> ((a (^b.b))((^a.b) c)) 2. ==[ alpha ]==> ((a (^x.x))((^y.b) c)) 3. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 120742/11946675. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(((a a) a) a)) REDUCED to normal form. ------ 120743/11946702. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.z)(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(a (a a)))) 5. ==[ beta ]==> (((a (^x.x))(b a))(a (a a))) REDUCED to normal form. ------ 120744/11946729. ------ 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 (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a))(^z.z))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 120745/11946756. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a (a a))(a a))(a ((a a) a))) REDUCED to normal form. ------ 120746/11946783. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (^z.z))(a b))) 3. ==[ beta ]==> (((^y.y)(a b))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a b))) 5. ==[ beta ]==> ((a b)((a (^y.y))(a b))) 6. ==[ alpha ]==> ((a b)((a (^x.x))(a b))) REDUCED to normal form. ------ 120747/11946810. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 120748/11946936. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 120749/11946981. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)(^z.a)) 6. ==[ alpha ]==> (((^x.x) a)(^y.a)) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 120750/11947008. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((a (^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(^z.b)) 6. ==[ alpha ]==> ((a (^x.x))(^y.b)) REDUCED to normal form. ------ 120751/11947143. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(^a.a)) d)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1)) d)) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1)) d)) 4. ==[ alpha ]==> (b (((^x.x)(^y.y)) d)) 5. ==[ beta ]==> (b ((^y.y) d)) 6. ==[ alpha ]==> (b ((^x.x) d)) 7. ==[ beta ]==> (b d) REDUCED to normal form. ------ 120752/11947260. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.(a a))) REDUCED to normal form. ------ 120753/11947305. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.b) b)) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.b) b)) 3. ==[ beta ]==> (((^y.y) b)((^z.b) b)) 4. ==[ alpha ]==> (((^x.x) b)((^y.b) b)) 5. ==[ beta ]==> (b ((^y.b) b)) 6. ==[ alpha ]==> (b ((^x.b) b)) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 120754/11947422. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(c (^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(c (^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(c (^z.a))) 5. ==[ beta ]==> ((^y.(a a))(c (^z.a))) 6. ==[ alpha ]==> ((^x.(a a))(c (^y.a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120755/11947449. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(b (^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(b (^y.b))) REDUCED to normal form. ------ 120756/11947476. ------ 1. ==[ start ]==> (((a b)(^c.a))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 120757/11947503. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(a a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(a a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(a a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 120758/11947575. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120759/11947584. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 120760/11947611. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 120761/11947809. ------ 1. ==[ start ]==> (((a b)((a a) a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))(c ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)((a a) a))(c (^y.y))) 4. ==[ alpha ]==> (((a b)((a a) a))(c (^x.x))) REDUCED to normal form. ------ 120762/11947836. ------ 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. ------ 120763/11947863. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(a (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(a (a b))) REDUCED to normal form. ------ 120764/11947917. ------ 1. ==[ start ]==> (((a (^a.(^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 (^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.y1)(a (^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(a (^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 120765/11947944. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((b (a a))((a (a a))((^y.y) a))) 4. ==[ alpha ]==> ((b (a a))((a (a a))((^x.x) a))) 5. ==[ beta ]==> ((b (a a))((a (a a)) a)) REDUCED to normal form. ------ 120766/11947971. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x) a)(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(a a)))(a (a (a a)))) REDUCED to normal form. ------ 120767/11948142. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 120768/11948250. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120769/11948286. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((b b)((^y.(y y))(^z.a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))(^y.a))) 5. ==[ beta ]==> ((b b)((^y.a)(^y.a))) 6. ==[ alpha ]==> ((b b)((^x.a)(^y.a))) 7. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 120770/11948313. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 120771/11948367. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.a)) REDUCED to normal form. ------ 120772/11948412. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((b a)(b a))((^y.(^z.z)) b)) 4. ==[ alpha ]==> (((b a)(b a))((^x.(^y.y)) b)) 5. ==[ beta ]==> (((b a)(b a))(^y.y)) 6. ==[ alpha ]==> (((b a)(b a))(^x.x)) REDUCED to normal form. ------ 120773/11948475. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (^y.(y y)))) REDUCED to normal form. ------ 120774/11948502. ------ 1. ==[ start ]==> (((a b)(^a.b))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 120775/11948556. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 120776/11948601. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^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. ------ 120777/11948610. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a)) a) REDUCED to normal form. ------ 120778/11948637. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 120779/11948664. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 120780/11948781. ------ 1. ==[ start ]==> (((a (a a))(b a))(b (a (a a)))) REDUCED to normal form. ------ 120781/11948808. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(^z.z)))) 7. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 8. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 120782/11948835. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a (a a))(a a))) 3. ==[ beta ]==> ((((a a) a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 120783/11948862. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(a (a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a b))(a (a (^x.x)))) REDUCED to normal form. ------ 120784/11948889. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)((a a) a))((a (^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)((a a) a))((a (^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a)((a a) a))((a (^x.x)) a)) REDUCED to normal form. ------ 120785/11948916. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a a)(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a a)(a (a a)))) REDUCED to normal form. ------ 120786/11948997. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c c)) 3. ==[ beta ]==> ((b (a (^y.y)))(c c)) 4. ==[ alpha ]==> ((b (a (^x.x)))(c c)) REDUCED to normal form. ------ 120787/11949222. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1)) c)) 3. ==[ beta ]==> (b ((^z.(^x1.x1)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120788/11949330. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120789/11949366. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b c)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b c)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 120790/11949393. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 120791/11949438. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a) a)) 3. ==[ beta ]==> ((b (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((b (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 120792/11949465. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) b)) 5. ==[ beta ]==> ((^y.(^z.z)) b) 6. ==[ alpha ]==> ((^x.(^y.y)) b) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120793/11949501. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a (^z.a))) 3. ==[ beta ]==> ((a (^y.y))(a (^z.a))) 4. ==[ alpha ]==> ((a (^x.x))(a (^y.a))) REDUCED to normal form. ------ 120794/11949519. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(^z1.z1))) REDUCED to normal form. ------ 120795/11949528. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 120796/11949600. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a) b)) 3. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 120797/11949609. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 120798/11949636. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (^z.z))) 3. ==[ beta ]==> (((a a)(^y.b))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 120799/11949708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120800/11949717. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 120801/11949744. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.z))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.z))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.y))) REDUCED to normal form. ------ 120802/11950089. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(^z.(z (^x1.x1)))) 3. ==[ eta ]==> ((^y.y)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 120803/11957514. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120804/11958210. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a)) c) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a)) c) 3. ==[ beta ]==> ((b (^y.a)) c) 4. ==[ alpha ]==> ((b (^x.a)) c) REDUCED to normal form. ------ 120805/11958261. ------ 1. ==[ start ]==> ((^a.(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.z)((^x1.x1) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.y)((^z.z) a))) 7. ==[ beta ]==> (a ((^y.y)((^z.z) a))) 8. ==[ alpha ]==> (a ((^x.x)((^y.y) a))) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120806/11958288. ------ 1. ==[ start ]==> ((^a.b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 120807/11958369. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((^z.(a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((^x.(a a))(a b))(^y.y)) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 120808/11958558. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.z)(b (^x1.x1)))) 3. ==[ eta ]==> ((^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. ------ 120809/11958561. ------ 1. ==[ start ]==> ((a ((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 120810/11958948. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(^y.(b (^z.z)))) 3. ==[ beta ]==> ((a (a a))(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((a (a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 120811/11959053. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120812/11959611. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((^y.a)(a (^z.(^x1.x1))))((^y.a)(a (^z.(^x1.x1)))))((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.a)(a (^y.(^z.z))))((^x1.a)(a (^y1.(^z1.z1)))))((^x2.a)(a (^y2.(^z2.z2))))) 5. ==[ beta ]==> ((a ((^x1.a)(a (^y1.(^z1.z1)))))((^x2.a)(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> ((a ((^x.a)(a (^y.(^z.z)))))((^x1.a)(a (^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a a)((^x1.a)(a (^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((a a)((^x.a)(a (^y.(^z.z))))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 120813/11960019. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.(a a)))) REDUCED to normal form. ------ 120814/11960685. ------ 1. ==[ start ]==> (((^a.b) b)(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)(^y.(^z.z))) 3. ==[ beta ]==> (b (^y.(^z.z))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 120815/11960694. ------ 1. ==[ start ]==> (((a b)(a a))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.((^y.y) x))) 3. ==[ eta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 120816/11960718. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 9. ==[ beta ]==> ((^y.y)(^z.z)) 10. ==[ alpha ]==> ((^x.x)(^y.y)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120817/11961027. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.((^z1.z1) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.((^z1.z1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.((^y1.y1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.((^y1.y1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1) b))) 9. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) b))) 10. ==[ alpha ]==> ((^x.x)(^y.((^z.z) b))) 11. ==[ beta ]==> (^y.((^z.z) b)) 12. ==[ alpha ]==> (^x.((^y.y) b)) 13. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 120818/11961342. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 120819/11961936. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 120820/11962494. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 120821/11963589. ------ 1. ==[ start ]==> ((^a.(^b.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a b)(a (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120822/11963772. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120823/11963904. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 120824/11964402. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^c.(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(a b))) 3. ==[ beta ]==> (b (^y.(a b))) 4. ==[ alpha ]==> (b (^x.(a b))) REDUCED to normal form. ------ 120825/11964609. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^b.(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(a x1))) 3. ==[ eta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 120826/11964798. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(^z.y))) REDUCED to normal form. ------ 120827/11965743. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.(^b.(^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)))) REDUCED to normal form. ------ 120828/11965983. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120829/11965986. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^b.(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 120830/11966373. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(b (^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.z)) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 120831/11966436. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.c)) 3. ==[ beta ]==> ((a (^y.y))(^z.c)) 4. ==[ alpha ]==> ((a (^x.x))(^y.c)) REDUCED to normal form. ------ 120832/11966544. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.b)) REDUCED to normal form. ------ 120833/11966643. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.b)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120834/11966679. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.a)) 3. ==[ beta ]==> ((b (^y.a))(^z.a)) 4. ==[ alpha ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 120835/11966727. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (a (((^y.y) b)(^z.a))) 4. ==[ alpha ]==> (a (((^x.x) b)(^y.a))) 5. ==[ beta ]==> (a (b (^y.a))) 6. ==[ alpha ]==> (a (b (^x.a))) REDUCED to normal form. ------ 120836/11966736. ------ 1. ==[ start ]==> ((a (a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a a))((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a (a a))((^y.y) a)) 4. ==[ alpha ]==> ((a (a a))((^x.x) a)) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 120837/11966754. ------ 1. ==[ start ]==> (((a a) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 120838/11966763. ------ 1. ==[ start ]==> ((a b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> ((a b)(^y.(^z.z))) 4. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 120839/11966781. ------ 1. ==[ start ]==> (((a a)(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 120840/11966808. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 120841/11966835. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 120842/11966844. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (a (^x.x)))(a a)) REDUCED to normal form. ------ 120843/11966862. ------ 1. ==[ start ]==> (((a a) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a b)(^x.(a a)))) REDUCED to normal form. ------ 120844/11966943. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 120845/11966979. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(a (^x.x))) a) REDUCED to normal form. ------ 120846/11966997. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 120847/11967006. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 120848/11967033. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 120849/11967078. ------ 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. ------ 120850/11967105. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) b) c)) 3. ==[ beta ]==> ((a a)(((^y.y) b) c)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 120851/11967222. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 120852/11967249. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 120853/11967393. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))(b ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))(b ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b ((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)(b ((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)(b ((a a)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 120854/11967420. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(a (b (^y.y)))) 3. ==[ beta ]==> ((a (a a))(a (b (^y.y)))) 4. ==[ alpha ]==> ((a (a a))(a (b (^x.x)))) REDUCED to normal form. ------ 120855/11967447. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(a a))) 5. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 120856/11967456. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 120857/11967483. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) c)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 5. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 120858/11967501. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 120859/11967528. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(a (a a)))) REDUCED to normal form. ------ 120860/11967663. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120861/11967690. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 120862/11967744. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 120863/11967807. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 120864/11967834. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 120865/11967861. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 120866/11967888. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((b a)(^z.(z z)))) REDUCED to normal form. ------ 120867/11967915. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 120868/11967951. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a))((a a) a))) 5. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 120869/11967978. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.b)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (a a))) b) REDUCED to normal form. ------ 120870/11968032. ------ 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))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 120871/11968059. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(b a))) 5. ==[ beta ]==> ((a a)((^y.(y y))(b a))) 6. ==[ alpha ]==> ((a a)((^x.(x x))(b a))) 7. ==[ beta ]==> ((a a)((b a)(b a))) REDUCED to normal form. ------ 120872/11968086. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a ((a a) a)) a) REDUCED to normal form. ------ 120873/11968212. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((^y.y) b)((a (^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z))) c)) 5. ==[ beta ]==> (b ((a (^y.(^z.z))) c)) 6. ==[ alpha ]==> (b ((a (^x.(^y.y))) c)) REDUCED to normal form. ------ 120874/11968437. ------ 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. ------ 120875/11968464. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 120876/11968608. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> ((^y.b)(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((^x.b)(((a a)(^y.y))(a (a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 120877/11968689. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a b))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a) a)(a b))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a) a)(a b))) IRREDUCIBLE: cycle. ------ 120878/11968770. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z) a)(b a))) 3. ==[ beta ]==> (b (((^z.z) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 120879/11968797. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 120880/11968824. ------ 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. ------ 120881/11968860. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 120882/11968887. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 120883/11968914. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((b a)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))((b a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((b a)(^z.a))) 5. ==[ beta ]==> ((^y.a)((b a)(^z.a))) 6. ==[ alpha ]==> ((^x.a)((b a)(^y.a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 120884/11968941. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 120885/11968968. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.x))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 120886/11969004. ------ 1. ==[ start ]==> (((a a)(a b))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a a)(a b)) b) REDUCED to normal form. ------ 120887/11969058. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 120888/11969085. ------ 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))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 120889/11969112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)(b a))) 5. ==[ beta ]==> (((^y.y) a)((^z.a)(b a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.a)(b a))) 7. ==[ beta ]==> (a ((^y.a)(b a))) 8. ==[ alpha ]==> (a ((^x.a)(b a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 120890/11969139. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 120891/11969157. ------ 1. ==[ start ]==> (((^a.b) b)((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.b) b)((a a)(^y.y))) 3. ==[ beta ]==> (b ((a a)(^y.y))) 4. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 120892/11969166. ------ 1. ==[ start ]==> (((a b)(a a))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.x)((^y.y) b))) 3. ==[ beta ]==> (((a b)(a a))((^y.y) b)) 4. ==[ alpha ]==> (((a b)(a a))((^x.x) b)) 5. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 120893/11969193. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> ((a (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. ------ 120894/11969445. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))(c (b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))(c (b a))) 3. ==[ beta ]==> ((^y.y)(c (b a))) 4. ==[ alpha ]==> ((^x.x)(c (b a))) 5. ==[ beta ]==> (c (b a)) REDUCED to normal form. ------ 120895/11969499. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a ((^y1.y1) b))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a ((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a ((^x1.x1) b))) 7. ==[ beta ]==> (((^y.y)(^z.z))(a ((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(a ((^z.z) b))) 9. ==[ beta ]==> ((^y.y)(a ((^z.z) b))) 10. ==[ alpha ]==> ((^x.x)(a ((^y.y) b))) 11. ==[ beta ]==> (a ((^y.y) b)) 12. ==[ alpha ]==> (a ((^x.x) b)) 13. ==[ beta ]==> (a b) REDUCED to normal form. ------ 120896/11969508. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 120897/11969535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.(^z1.z1))) b)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.(^z1.z1))) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1))) b)) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1))) b)) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1))) b)) 7. ==[ beta ]==> (((^y.(^z.(^x1.x1))) b)((^y.(^z.(^x1.x1))) b)) 8. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.(^y1.(^z1.z1))) b)) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1))) b)) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1))) b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120898/11969580. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (b (((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 120899/11969589. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1)) d)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 120900/11969787. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a) a)(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a) a)(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 120901/11969814. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(a (^b.b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 120902/11969841. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a a))) 5. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 120903/11970048. ------ 1. ==[ start ]==> (((a b) c)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) c)(a (^y.(^z.z)))) 4. ==[ alpha ]==> (((a b) c)(a (^x.(^y.y)))) REDUCED to normal form. ------ 120904/11970102. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 120905/11970156. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((b a) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((b a) b)) REDUCED to normal form. ------ 120906/11970183. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((a a)(^z.z)) c)) 3. ==[ beta ]==> ((a (^y.b))(((a a)(^z.z)) c)) 4. ==[ alpha ]==> ((a (^x.b))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 120907/11970408. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 120908/11970858. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.y)(^z.a))) 5. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.a)) 6. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.a)) REDUCED to normal form. ------ 120909/11970993. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((b a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.b))((b a) a)) REDUCED to normal form. ------ 120910/11971047. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z)(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a a) c)) REDUCED to normal form. ------ 120911/11971191. ------ 1. ==[ start ]==> (((a a)(b a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 120912/11971470. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120913/11971776. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a)(^x1.x1)) a)) REDUCED to normal form. ------ 120914/11972037. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120915/11972046. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(a a)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(a a)) REDUCED to normal form. ------ 120916/11972064. ------ 1. ==[ start ]==> ((a (^b.b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 120917/11972190. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(c (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(c (^z.b))) 3. ==[ beta ]==> (((^y.y)(a b))(c (^z.b))) 4. ==[ alpha ]==> (((^x.x)(a b))(c (^y.b))) 5. ==[ beta ]==> ((a b)(c (^y.b))) 6. ==[ alpha ]==> ((a b)(c (^x.b))) REDUCED to normal form. ------ 120918/11972217. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(b (^x.(a a)))) REDUCED to normal form. ------ 120919/11972244. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 120920/11972271. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((^y.(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (a a)))((^y.(a a))(a a))) 4. ==[ alpha ]==> (((a a)(a (a a)))((^x.(a a))(a a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a a)) REDUCED to normal form. ------ 120921/11972298. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 120922/11972343. ------ 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))(^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. ------ 120923/11972352. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.z)) REDUCED to normal form. ------ 120924/11972379. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(y y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.(y y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a b)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a b)(^y.y)) 12. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 120925/11972658. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(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. ------ 120926/11972694. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(a a)) a)) 3. ==[ beta ]==> ((b a)((^y.(a a)) a)) 4. ==[ alpha ]==> ((b a)((^x.(a a)) a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 120927/11972712. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((a b)(a a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((a b)(a a))) 3. ==[ beta ]==> (((^y.y) b)((a b)(a a))) 4. ==[ alpha ]==> (((^x.x) b)((a b)(a a))) 5. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 120928/11972721. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.b) b)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.b) b)) 3. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 120929/11972739. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) a)(a (^y.y))) 6. ==[ alpha ]==> (((a a) a)(a (^x.x))) REDUCED to normal form. ------ 120930/11972793. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a (a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 120931/11972874. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a a)(a b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a a)(a b))) 3. ==[ beta ]==> (b ((a a)(a b))) REDUCED to normal form. ------ 120932/11972910. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a b)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a b)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.z))) REDUCED to normal form. ------ 120933/11972937. ------ 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)(^z.(^x1.x1)))) REDUCED to normal form. ------ 120934/11972991. ------ 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.(y1 y1)))) REDUCED to normal form. ------ 120935/11973018. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 120936/11973054. ------ 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. ------ 120937/11973081. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(a b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a b)) REDUCED to normal form. ------ 120938/11973108. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b)(^z.z))) 3. ==[ beta ]==> ((a (b a))((^y.b)(^z.z))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(^y.y))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 120939/11973162. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 120940/11973189. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 120941/11973216. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 120942/11973270. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(^z.b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.b)) REDUCED to normal form. ------ 120943/11973414. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 120944/11973693. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a)) c)) 3. ==[ beta ]==> ((b b)((a (a a)) c)) REDUCED to normal form. ------ 120945/11973765. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(b ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(b ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(b ((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((^y.y)(^z.z))) 6. ==[ alpha ]==> (b ((^x.x)(^y.y))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120946/11973819. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (((b a)(b a))((^y.y)(a a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.x)(a a))) 7. ==[ beta ]==> (((b a)(b a))(a a)) REDUCED to normal form. ------ 120947/11973900. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((a (^y.y))(a (a a)))) 3. ==[ beta ]==> (b ((a (^y.y))(a (a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (a a)))) REDUCED to normal form. ------ 120948/11973963. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 120949/11974017. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a (^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.a))) REDUCED to normal form. ------ 120950/11974044. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 120951/11974071. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 120952/11974107. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 120953/11974134. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 120954/11974161. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 120955/11974188. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 120956/11974215. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 120957/11974323. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (^z.(z z)))) REDUCED to normal form. ------ 120958/11974377. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))(a a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a a))) REDUCED to normal form. ------ 120959/11974404. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 120960/11974431. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.x)) REDUCED to normal form. ------ 120961/11974458. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.y)(a (a a)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (a a))) REDUCED to normal form. ------ 120962/11974548. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(b ((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(b ((^x2.x2) a))) 5. ==[ beta ]==> ((^y.(^z.z))(b ((^x2.x2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120963/11974629. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 120964/11974737. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b c)) 3. ==[ beta ]==> ((^y.(^z.z))(b c)) 4. ==[ alpha ]==> ((^x.(^y.y))(b c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120965/11974773. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a) a)) 3. ==[ beta ]==> ((b c)(((^y.y) a) a)) 4. ==[ alpha ]==> ((b c)(((^x.x) a) a)) 5. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 120966/11974800. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x)) b)) REDUCED to normal form. ------ 120967/11974845. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^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 (^x.x))(a a)) REDUCED to normal form. ------ 120968/11974872. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(a a))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a a))) 5. ==[ beta ]==> ((a (^y.y))(a a)) 6. ==[ alpha ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 120969/11974908. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 120970/11974935. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 120971/11975007. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (a a))) 3. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 120972/11975016. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 120973/11975043. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) a)) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 120974/11975115. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a b)) 3. ==[ beta ]==> ((^y.(^z.z))(a b)) 4. ==[ alpha ]==> ((^x.(^y.y))(a b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 120975/11975124. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a) a)) REDUCED to normal form. ------ 120976/11975151. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.z) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.y) a)) 5. ==[ beta ]==> ((b (^x.a)) a) REDUCED to normal form. ------ 120977/11975177. ------ 1. ==[ start ]==> (^a.(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (^x.(((x x)(x x))(^y.(^z.z)))) REDUCED to normal form. ------ 120978/11975178. ------ 1. ==[ start ]==> (a (((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (a (((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 120979/11982930. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 120980/11983653. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a))) a) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 120981/11983659. ------ 1. ==[ start ]==> ((^a.a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 120982/11983686. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((((^y.y) b)(^z.a))(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((((^x.x) b)(^y.a))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> ((b (^y.a))(((^z.z) b)(^x1.a))) 6. ==[ alpha ]==> ((b (^x.a))(((^y.y) b)(^z.a))) 7. ==[ beta ]==> ((b (^x.a))(b (^z.a))) 8. ==[ alpha ]==> ((b (^x.a))(b (^y.a))) REDUCED to normal form. ------ 120983/11983713. ------ 1. ==[ start ]==> ((^a.b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 120984/11983794. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((((^z.z)(a a))(^x1.b))(^y.y)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 120985/11983911. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^x.((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (^x.((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 120986/11983995. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(y (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 120987/11984382. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 120988/11985036. ------ 1. ==[ start ]==> ((^a.((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x) x))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((((^y.y) a)(^z.(^x1.(^y1.y1))))(((^y.y) a)(^z.(^x1.(^y1.y1)))))(((^y.y) a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2)))))(((^z2.z2) a)(^x3.(^y3.(^z3.z3))))) 5. ==[ beta ]==> (((a (^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.(^y2.y2)))))(((^z2.z2) a)(^x3.(^y3.(^z3.z3))))) 6. ==[ alpha ]==> (((a (^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.(^x2.x2)))))(((^y2.y2) a)(^z2.(^x3.(^y3.y3))))) 7. ==[ beta ]==> (((a (^x.(^y.(^z.z))))(a (^y1.(^z1.(^x2.x2)))))(((^y2.y2) a)(^z2.(^x3.(^y3.y3))))) 8. ==[ alpha ]==> (((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1)))))(((^x2.x2) a)(^y2.(^z2.(^x3.x3))))) 9. ==[ beta ]==> (((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1)))))(a (^y2.(^z2.(^x3.x3))))) 10. ==[ alpha ]==> (((a (^x.(^y.(^z.z))))(a (^x1.(^y1.(^z1.z1)))))(a (^x2.(^y2.(^z2.z2))))) REDUCED to normal form. ------ 120989/11985936. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (^y.(((^z.(a a))((^x1.x1)(^y1.y1)))((^z.(a a))((^x1.x1)(^y1.y1))))) 4. ==[ alpha ]==> (^x.(((^y.(a a))((^z.z)(^x1.x1)))((^y1.(a a))((^z1.z1)(^x2.x2))))) 5. ==[ beta ]==> (^x.((a a)((^y1.(a a))((^z1.z1)(^x2.x2))))) 6. ==[ alpha ]==> (^x.((a a)((^y.(a a))((^z.z)(^x1.x1))))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 120990/11986119. ------ 1. ==[ start ]==> (((a b)(a a))(^c.(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 120991/11986143. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.y)((((^z.z) b) a)(((^z.z) b) a))) 4. ==[ alpha ]==> ((^x.x)((((^y.y) b) a)(((^z.z) b) a))) 5. ==[ beta ]==> ((((^y.y) b) a)(((^z.z) b) a)) 6. ==[ alpha ]==> ((((^x.x) b) a)(((^y.y) b) a)) 7. ==[ beta ]==> ((b a)(((^y.y) b) a)) 8. ==[ alpha ]==> ((b a)(((^x.x) b) a)) 9. ==[ beta ]==> ((b a)(b a)) REDUCED to normal form. ------ 120992/11986452. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 120993/11986461. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 120994/11986758. ------ 1. ==[ start ]==> (((^a.b) c)(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 120995/11986818. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((b a)(^z.(^x1.x1)))((b a)(^z.(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> ((((b a)(^x.(^y.y)))((b a)(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 120996/11987073. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 120997/11987667. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 120998/11987937. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^b.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(y a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(y a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(x a))) REDUCED to normal form. ------ 120999/11988123. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.b))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 121000/11988720. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 121001/11989329. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121002/11989647. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((b a)(^y.((^z.z)(y y)))) 4. ==[ alpha ]==> ((b a)(^x.((^y.y)(x x)))) 5. ==[ beta ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 121003/11989836. ------ 1. ==[ start ]==> (((a b)(^c.a))(^c.(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a b))) REDUCED to normal form. ------ 121004/11990754. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^a.((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.((y1 y1) y1))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 121005/11991408. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121006/11991411. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(z z)))) REDUCED to normal form. ------ 121007/11991726. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.d)) 3. ==[ beta ]==> ((b c)(^y.d)) 4. ==[ alpha ]==> ((b c)(^x.d)) REDUCED to normal form. ------ 121008/11991798. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 121009/11991861. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(a (^z.z)))) REDUCED to normal form. ------ 121010/11991879. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.x1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.y1))) REDUCED to normal form. ------ 121011/11991996. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(y (^z.z)))) REDUCED to normal form. ------ 121012/11992068. ------ 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))(^x1.(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121013/11992077. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.b)) REDUCED to normal form. ------ 121014/11992104. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(z z))) 3. ==[ beta ]==> ((b (^y.a))(^z.(z z))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(y y))) REDUCED to normal form. ------ 121015/11992131. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121016/11992143. ------ 1. ==[ start ]==> ((a a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 121017/11992170. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) b)(^y.a))) 3. ==[ beta ]==> ((a (a a))(b (^y.a))) 4. ==[ alpha ]==> ((a (a a))(b (^x.a))) REDUCED to normal form. ------ 121018/11992179. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 121019/11992197. ------ 1. ==[ start ]==> ((a b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 121020/11992206. ------ 1. ==[ start ]==> (((^a.a)(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 121021/11992278. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (a (^x.x)))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 121022/11992287. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121023/11992314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b)((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 121024/11992368. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121025/11992395. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (^x.a))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 121026/11992413. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 121027/11992476. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 121028/11992557. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(^z.a))) 5. ==[ beta ]==> (a ((^y.y)(^z.a))) 6. ==[ alpha ]==> (a ((^x.x)(^y.a))) 7. ==[ beta ]==> (a (^y.a)) 8. ==[ alpha ]==> (a (^x.a)) REDUCED to normal form. ------ 121029/11992584. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121030/11992773. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121031/11992809. ------ 1. ==[ start ]==> ((((^a.a) a) b)(c ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) b)(c ((^y.y) b))) 3. ==[ beta ]==> ((a b)(c ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(c ((^x.x) b))) 5. ==[ beta ]==> ((a b)(c b)) REDUCED to normal form. ------ 121032/11992836. ------ 1. ==[ start ]==> (((a (a a)) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 121033/11992863. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(a (b (^y.y)))) REDUCED to normal form. ------ 121034/11992890. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 121035/11992917. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(b (a (^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 121036/11992944. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.x))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 121037/11993052. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a b)(a b))) 3. ==[ beta ]==> ((b b)((a b)(a b))) REDUCED to normal form. ------ 121038/11993187. ------ 1. ==[ start ]==> (((a (a a)) b)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a)) b)((a (^x.x))((^y.y) b))) 3. ==[ beta ]==> (((a (a a)) b)((a (^x.x)) b)) REDUCED to normal form. ------ 121039/11993214. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((a a)((a a)(a a)))) 5. ==[ beta ]==> (a ((a a)((a a)(a a)))) REDUCED to normal form. ------ 121040/11993313. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121041/11993412. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a b)(^y.b))) REDUCED to normal form. ------ 121042/11993439. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 121043/11993520. ------ 1. ==[ start ]==> ((a ((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a) a))(((^x.x) a)(^y.(^z.(^x1.x1))))) 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. ------ 121044/11993556. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 121045/11993610. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (a ((^z.(a a))(^x1.x1))) 6. ==[ alpha ]==> (a ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 121046/11993772. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.b)(^x1.b))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.b)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(^x1.b))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(^x1.b))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(^z.b))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.b))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.b))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 121047/11993979. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.b) 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. ------ 121048/11994024. ------ 1. ==[ start ]==> (((^a.b) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b) a)((b a)((^y.y) a))) 3. ==[ beta ]==> (b ((b a)((^y.y) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 121049/11994186. ------ 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. ------ 121050/11994213. ------ 1. ==[ start ]==> (((a b) a)(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a b) a)(((^x.x) a)(b a))) 3. ==[ beta ]==> (((a b) a)(a (b a))) REDUCED to normal form. ------ 121051/11994231. ------ 1. ==[ start ]==> (((^a.a)(a b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a b))(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a b)(c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a b)(c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 121052/11994240. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 121053/11994258. ------ 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. ------ 121054/11994312. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 121055/11994393. ------ 1. ==[ start ]==> (((^a.b)(a a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121056/11994420. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 121057/11994438. ------ 1. ==[ start ]==> (((a a)(a b))((a b)(^c.a))) 2. ==[ alpha ]==> (((a a)(a b))((a b)(^x.a))) REDUCED to normal form. ------ 121058/11994465. ------ 1. ==[ start ]==> (((a (^a.a))((a a) a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a) a))(((a a) a)(^y.b))) REDUCED to normal form. ------ 121059/11994492. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> ((a (^x.x))((^z.z)(^x1.(a a)))) 8. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(a a)))) 9. ==[ beta ]==> ((a (^x.x))(^z.(a a))) 10. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 121060/11994573. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((a (^y.y))(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 121061/11994600. ------ 1. ==[ start ]==> (((a b)(a a))((a a)(^b.b))) 2. ==[ alpha ]==> (((a b)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 121062/11994627. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y) b) a)) 3. ==[ beta ]==> ((a (a a))(((^y.y) b) a)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b) a)) 5. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 121063/11994636. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121064/11994663. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121065/11994717. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 7. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121066/11994798. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.b))) 4. ==[ alpha ]==> (b ((^x.a)(^y.b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121067/11994888. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))(c (b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))(c (b a))) REDUCED to normal form. ------ 121068/11994933. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121069/11994942. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 121070/11994969. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((a (^x1.(^y1.y1)))(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((a (^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(y y))((a (^z.(^x1.x1)))(a a))) 6. ==[ alpha ]==> ((^x.(x x))((a (^y.(^z.z)))(a a))) 7. ==[ beta ]==> (((a (^y.(^z.z)))(a a))((a (^y.(^z.z)))(a a))) 8. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 121071/11994996. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((b a)(a (^y.y)))) REDUCED to normal form. ------ 121072/11995023. ------ 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))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 121073/11995050. ------ 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)(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 121074/11995239. ------ 1. ==[ start ]==> (((^a.b) c)((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (b ((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (b ((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 121075/11995275. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.(^z.z)))(^x1.x1))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.(^z.z)))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.z))) REDUCED to normal form. ------ 121076/11995302. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 121077/11995338. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121078/11995473. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(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. ------ 121079/11995554. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.(^z.z)))) REDUCED to normal form. ------ 121080/11995581. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.(^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. ------ 121081/11995716. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121082/11995869. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (a b))((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 121083/11996148. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.b)(^y.b))(a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (a (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 121084/11996229. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> (b ((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 121085/11996337. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(y y))(a b))) 3. ==[ beta ]==> ((b a)((^y.(y y))(a b))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(a b))) 5. ==[ beta ]==> ((b a)((a b)(a b))) REDUCED to normal form. ------ 121086/11996364. ------ 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)((^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. ------ 121087/11996418. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.y)(b a))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(b a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(b a))) 5. ==[ beta ]==> (((a b)(a b))(b a)) REDUCED to normal form. ------ 121088/11996499. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (b ((^y.(a a))(^z.a))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 121089/11996607. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.b))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.b)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.b))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 121090/11996760. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(a a)) c)) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a)) c)) 5. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 121091/11996886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121092/11996985. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a a)((^z.(^x1.x1))(a a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(a a))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 121093/11997066. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.a)(a (a a)))) 3. ==[ beta ]==> (b ((^x1.a)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.a)(a (a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121094/11997174. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121095/11997201. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 121096/11997228. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121097/11997282. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.b)(^x1.a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.b)(^x1.a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.b)(^z.a))) 7. ==[ beta ]==> (((a a)(a a))((^y.b)(^z.a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.b)(^y.a))) 9. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 121098/11997363. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> (b ((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.a))) 5. ==[ beta ]==> (b ((^y.a)(^y.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121099/11997426. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(b (a a))) REDUCED to normal form. ------ 121100/11997480. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(((^x1.x1)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))((a a)(a a))) REDUCED to normal form. ------ 121101/11997516. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.b) c)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.b) c)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 121102/11997543. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.a) d)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a) d)) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 121103/11997705. ------ 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))) 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. ------ 121104/11997732. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 121105/11997786. ------ 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))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((^x1.x1)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(^z.(z z))) REDUCED to normal form. ------ 121106/11997813. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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. ------ 121107/11997822. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121108/11997849. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.a)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z1.a)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a) a))) 5. ==[ beta ]==> ((^y.a)((a a) a)) 6. ==[ alpha ]==> ((^x.a)((a a) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121109/11997984. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.a)(^x1.a))) 3. ==[ beta ]==> (b ((^z.a)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.a)(^y.a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121110/11998092. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(^x2.x2))(^y2.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121111/11998101. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(b (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(b (a b))) REDUCED to normal form. ------ 121112/11998128. ------ 1. ==[ start ]==> ((((^a.a) b) a)(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((b a)(a ((^y.y)(a a)))) 4. ==[ alpha ]==> ((b a)(a ((^x.x)(a a)))) 5. ==[ beta ]==> ((b a)(a (a a))) REDUCED to normal form. ------ 121113/11998155. ------ 1. ==[ start ]==> (((a a)(^b.b))((a b)(a a))) 2. ==[ alpha ]==> (((a a)(^x.x))((a b)(a a))) REDUCED to normal form. ------ 121114/11998182. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(((a a) a)(a (^y1.y1)))) REDUCED to normal form. ------ 121115/11998263. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z) a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y) a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121116/11998290. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (^y.y))((a a) a))) REDUCED to normal form. ------ 121117/11998308. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(b (^a.b))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(b (^y.b))) 3. ==[ beta ]==> (b (b (^y.b))) 4. ==[ alpha ]==> (b (b (^x.b))) REDUCED to normal form. ------ 121118/11998317. ------ 1. ==[ start ]==> (((a b)(^c.a))((a a)(a b))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(a b))) REDUCED to normal form. ------ 121119/11998416. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121120/11998488. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)((a (^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)((a (^x.x))(^y.a))) REDUCED to normal form. ------ 121121/11998515. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a a)(^x1.b))) REDUCED to normal form. ------ 121122/11998542. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a b) a)) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a b) a)) 3. ==[ beta ]==> ((a (b a))((a b) a)) REDUCED to normal form. ------ 121123/11998569. ------ 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. ------ 121124/11998785. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 121125/11998848. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c (^y.(^z.z)))) 5. ==[ beta ]==> (c (^y.(^z.z))) 6. ==[ alpha ]==> (c (^x.(^y.y))) REDUCED to normal form. ------ 121126/11998983. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 121127/11999091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 121128/11999172. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 121129/11999199. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121130/11999208. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(b ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(b (^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(b (^z.z))) REDUCED to normal form. ------ 121131/11999235. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(a ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(a ((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(a ((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(a ((a a) a))) REDUCED to normal form. ------ 121132/11999316. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y) a)((^z.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. ------ 121133/11999334. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (^y.(y y)))) 3. ==[ beta ]==> (b (c (^y.(y y)))) 4. ==[ alpha ]==> (b (c (^x.(x x)))) REDUCED to normal form. ------ 121134/11999343. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 121135/11999442. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^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. ------ 121136/11999478. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c d)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c d)) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c d)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c d)) REDUCED to normal form. ------ 121137/11999541. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y) a)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x) a)) 5. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 121138/11999568. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a)) b)) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a)) b)) REDUCED to normal form. ------ 121139/11999676. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y)) a)) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 121140/11999703. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x)) b)) 3. ==[ beta ]==> (((a b)(a b))(b b)) REDUCED to normal form. ------ 121141/11999730. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a) c)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a) c)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a) c)) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 121142/11999811. ------ 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 a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (a a))(^z.z))) REDUCED to normal form. ------ 121143/11999838. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 121144/11999865. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 121145/11999892. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(^y.(y y)))) REDUCED to normal form. ------ 121146/11999982. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))(^z2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))(^z2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121147/12000063. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 121148/12000171. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121149/12000207. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(a d)) 3. ==[ beta ]==> ((b c)(a d)) REDUCED to normal form. ------ 121150/12000234. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (a a))) REDUCED to normal form. ------ 121151/12000279. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.a))) 5. ==[ beta ]==> ((b (^x.x))(^z.a)) 6. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 121152/12000342. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 121153/12000360. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a (^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a (^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a (^y1.a))) REDUCED to normal form. ------ 121154/12000441. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121155/12000450. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (a a))) REDUCED to normal form. ------ 121156/12000477. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.b))(a (a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (a (^y.y)))) REDUCED to normal form. ------ 121157/12000549. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121158/12000558. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a b)) REDUCED to normal form. ------ 121159/12000585. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.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. ------ 121160/12000612. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 121161/12009096. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a))) b) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 121162/12009120. ------ 1. ==[ start ]==> ((^a.(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121163/12009201. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121164/12009363. ------ 1. ==[ start ]==> ((^a.(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.x))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121165/12009447. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.a)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.a)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 121166/12010056. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121167/12010923. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 121168/12011001. ------ 1. ==[ start ]==> ((^a.(a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x b))((b a)((^y.y) a))) 3. ==[ beta ]==> (((b a)((^y.y) a)) b) 4. ==[ alpha ]==> (((b a)((^x.x) a)) b) 5. ==[ beta ]==> (((b a) a) b) REDUCED to normal form. ------ 121169/12011265. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 121170/12011388. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.((((^z.z)(a a))(^x1.(^y1.y1)))(((^z.z)(a a))(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (^x.((((^y.y)(a a))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 5. ==[ beta ]==> (^x.(((a a)(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (^x.(((a a)(^y.(^z.z)))((a a)(^x1.(^y1.y1))))) REDUCED to normal form. ------ 121171/12011913. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121172/12012210. ------ 1. ==[ start ]==> (((^a.b) c)(^d.(^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. ------ 121173/12012219. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 121174/12012840. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b))(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 121175/12013026. ------ 1. ==[ start ]==> ((^a.(b a))((a (a a))(a b))) 2. ==[ alpha ]==> ((^x.(b x))((a (a a))(a b))) 3. ==[ eta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 121176/12013389. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(^c.(^d.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(^y.(^z.a))) 3. ==[ beta ]==> (((a b)(a b))(^y.(^z.a))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.a))) REDUCED to normal form. ------ 121177/12013398. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^b.(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(y a))) REDUCED to normal form. ------ 121178/12013677. ------ 1. ==[ start ]==> (((a (a a))(a b))(^a.(b a))) 2. ==[ alpha ]==> (((a (a a))(a b))(^x.(b x))) 3. ==[ eta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 121179/12013863. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> ((((^x1.x1) a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.z))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 121180/12014181. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.((a a)(^y1.y1)))) REDUCED to normal form. ------ 121181/12014466. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) b)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121182/12014649. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 121183/12015099. ------ 1. ==[ start ]==> ((((^a.a) b) a)(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> ((b a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 121184/12015288. ------ 1. ==[ start ]==> (((a b)(^c.a))(^d.(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.b))) REDUCED to normal form. ------ 121185/12015315. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 121186/12015780. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((a (a a))((^y.y) a))) 3. ==[ beta ]==> ((((a (a a))((^y.y) a))((a (a a))((^y.y) a)))(((a (a a))((^y.y) a))((a (a a))((^y.y) a)))) 4. ==[ alpha ]==> ((((a (a a))((^x.x) a))((a (a a))((^y.y) a)))(((a (a a))((^z.z) a))((a (a a))((^x1.x1) a)))) 5. ==[ beta ]==> ((((a (a a)) a)((a (a a))((^y.y) a)))(((a (a a))((^z.z) a))((a (a a))((^x1.x1) a)))) 6. ==[ alpha ]==> ((((a (a a)) a)((a (a a))((^x.x) a)))(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 7. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a))((^y.y) a))((a (a a))((^z.z) a)))) 8. ==[ alpha ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a))((^x.x) a))((a (a a))((^y.y) a)))) 9. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a)) a)((a (a a))((^y.y) a)))) 10. ==[ alpha ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a)) a)((a (a a))((^x.x) a)))) 11. ==[ beta ]==> ((((a (a a)) a)((a (a a)) a))(((a (a a)) a)((a (a a)) a))) REDUCED to normal form. ------ 121187/12016206. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(^b.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 121188/12016368. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 121189/12016647. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 121190/12017178. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z) a))) 3. ==[ beta ]==> ((b c)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 121191/12017250. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.z)) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 121192/12017331. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.c)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.c)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.c)) REDUCED to normal form. ------ 121193/12017340. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.x1))) REDUCED to normal form. ------ 121194/12017448. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 121195/12017529. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(a a))) REDUCED to normal form. ------ 121196/12017556. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 121197/12017583. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121198/12017613. ------ 1. ==[ start ]==> ((a (^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 121199/12017640. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 121200/12017649. ------ 1. ==[ start ]==> (((a a) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) a)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a) a)((^y.y) a)) 4. ==[ alpha ]==> (((a a) a)((^x.x) a)) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 121201/12017667. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 121202/12017676. ------ 1. ==[ start ]==> (((a a)(^a.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 121203/12017694. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 121204/12017748. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121205/12017757. ------ 1. ==[ start ]==> (((a a) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(a b))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 121206/12017775. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 121207/12017784. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a) b) REDUCED to normal form. ------ 121208/12017838. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 121209/12017856. ------ 1. ==[ start ]==> ((a (^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.a))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121210/12017892. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121211/12017964. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b (^y1.y1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 121212/12018018. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) b) c)) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) b) c)) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) b) c)) 5. ==[ beta ]==> (a (((^y.y) b) c)) 6. ==[ alpha ]==> (a (((^x.x) b) c)) 7. ==[ beta ]==> (a (b c)) REDUCED to normal form. ------ 121213/12018027. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.a)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.a)) REDUCED to normal form. ------ 121214/12018054. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 121215/12018270. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.z))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.y))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 121216/12018396. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.y) c)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) c)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) c)) 5. ==[ beta ]==> (((a a)(a a)) c) REDUCED to normal form. ------ 121217/12018441. ------ 1. ==[ start ]==> (((a a)(a (a a)))((b a)(a (a a)))) REDUCED to normal form. ------ 121218/12018468. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) a)(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 121219/12018495. ------ 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 (^x.x)))((a a)((a a) a))) REDUCED to normal form. ------ 121220/12018522. ------ 1. ==[ start ]==> (((a (a a))(a a))((a b)(a b))) REDUCED to normal form. ------ 121221/12018549. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^y.y))(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(((a a) a)(a a))) REDUCED to normal form. ------ 121222/12018648. ------ 1. ==[ start ]==> (((a (a a)) b)(c (^b.b))) 2. ==[ alpha ]==> (((a (a a)) b)(c (^x.x))) REDUCED to normal form. ------ 121223/12018675. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(b (^z.(a a)))) 3. ==[ beta ]==> (((^y.y) a)(b (^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(b (^y.(a a)))) 5. ==[ beta ]==> (a (b (^y.(a a)))) 6. ==[ alpha ]==> (a (b (^x.(a a)))) REDUCED to normal form. ------ 121224/12018720. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 121225/12018756. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((a (^x.a))(a (^y.y))) REDUCED to normal form. ------ 121226/12018774. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 121227/12018783. ------ 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)))((^z1.z1) 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. ------ 121228/12019017. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 121229/12019071. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.a)(^y.a))(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((a a)(a a)) a)) 5. ==[ beta ]==> (a (((a a)(a a)) a)) REDUCED to normal form. ------ 121230/12019107. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> (b (^y.(^z.z))) 8. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 121231/12019134. ------ 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. ------ 121232/12019188. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 121233/12019215. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(a a)) REDUCED to normal form. ------ 121234/12019242. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.a)) b) REDUCED to normal form. ------ 121235/12019296. ------ 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. ------ 121236/12019386. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (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. ------ 121237/12019413. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(a ((a a)(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(a ((a a)(a a)))) REDUCED to normal form. ------ 121238/12019440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1) b)(a a))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(((^x1.x1) b)(a a))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(a a))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a a))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a a))) 7. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 121239/12019467. ------ 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. ------ 121240/12019494. ------ 1. ==[ start ]==> ((a (a b))((b a)((^a.a) a))) 2. ==[ alpha ]==> ((a (a b))((b a)((^x.x) a))) 3. ==[ beta ]==> ((a (a b))((b a) a)) REDUCED to normal form. ------ 121241/12019701. ------ 1. ==[ start ]==> (((a a)(^a.b))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.b))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121242/12019755. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(a (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 121243/12019773. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) b)(^y.y))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.y))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 121244/12019782. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 121245/12019809. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.a))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((^y.a)((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((^x.a)((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121246/12019854. ------ 1. ==[ start ]==> (((^a.b)(a a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(((a a)(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (b (((a a)(^y.y))(^z.(z z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 121247/12019863. ------ 1. ==[ start ]==> (((a b)(^a.a))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.y)) REDUCED to normal form. ------ 121248/12019881. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 121249/12020052. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.(^z.z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121250/12020097. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z) b) a)) 3. ==[ beta ]==> ((^y.(a a))(((^z.z) b) a)) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y) b) a)) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121251/12020124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 5. ==[ beta ]==> ((a (^y.(^z.z))) b) 6. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 121252/12020268. ------ 1. ==[ start ]==> (((a b) b)((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a b) b)((^x.a)(^y.b))) 3. ==[ beta ]==> (((a b) b) a) REDUCED to normal form. ------ 121253/12020295. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)(^y.y)) 6. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 121254/12020322. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 121255/12020403. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121256/12020547. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))((a b)(^y.y))) 6. ==[ alpha ]==> (((a a)(a a))((a b)(^x.x))) REDUCED to normal form. ------ 121257/12020574. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a) a)((a a) a))) REDUCED to normal form. ------ 121258/12020601. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((a ((a a) a))((^y.y)(a b))) 6. ==[ alpha ]==> ((a ((a a) a))((^x.x)(a b))) 7. ==[ beta ]==> ((a ((a a) a))(a b)) REDUCED to normal form. ------ 121259/12020628. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a (a a))(a a))) REDUCED to normal form. ------ 121260/12020655. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z) a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (a a))(((^y.y) a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x) a)((a a)(^y.y)))) 7. ==[ beta ]==> ((a (a a))(a ((a a)(^y.y)))) 8. ==[ alpha ]==> ((a (a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 121261/12020682. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (^y.y))(b a))) 3. ==[ beta ]==> ((((a a) a) a)((a (^y.y))(b a))) 4. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(b a))) REDUCED to normal form. ------ 121262/12020700. ------ 1. ==[ start ]==> (((^a.b) c)(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) c)(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 121263/12020709. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 121264/12020799. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((a a)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 121265/12020934. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 121266/12020943. ------ 1. ==[ start ]==> (((a b) c)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(x x))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b) c)(((^y.y)(a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) c)((a a)((^y.y)(a a)))) 6. ==[ alpha ]==> (((a b) c)((a a)((^x.x)(a a)))) 7. ==[ beta ]==> (((a b) c)((a a)(a a))) REDUCED to normal form. ------ 121267/12020970. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 121268/12020997. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 121269/12021015. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121270/12021042. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (^x1.(^y1.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. ------ 121271/12021051. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121272/12021132. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.(y1 y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.(x1 x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121273/12021159. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x))) b) REDUCED to normal form. ------ 121274/12021186. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.a)(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 121275/12021213. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121276/12021240. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((^x1.(a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(^x1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 121277/12021303. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))(b (b a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))(b (b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(b (b a))) REDUCED to normal form. ------ 121278/12021330. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a b))(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> ((a (a b))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 121279/12021357. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((b a)(a a))) REDUCED to normal form. ------ 121280/12021384. ------ 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 a)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(((a a)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a)(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(^x1.x1))(a (^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(^z.z))(a (^x1.x1)))) 7. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(a (^x1.x1)))) 8. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(a (^z.z)))) 9. ==[ beta ]==> (((a a)(^y.y))(a (^z.z))) 10. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 121281/12021411. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((^x.x)(a a))((^y.y) a))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((a a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((a a)((^x.x) a))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))((a a) a)) REDUCED to normal form. ------ 121282/12021438. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((a b)(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((a b)(a (a a)))) 3. ==[ beta ]==> (((a b) a)((a b)(a (a a)))) REDUCED to normal form. ------ 121283/12021465. ------ 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 a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(((a a) a)(^z.z))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a) a)(^y.y))) REDUCED to normal form. ------ 121284/12021492. ------ 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)(^x.x))(a a))((^z.z)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 121285/12021519. ------ 1. ==[ start ]==> ((a (b a))((a (a a))(a b))) REDUCED to normal form. ------ 121286/12021690. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.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. ------ 121287/12021753. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) a) REDUCED to normal form. ------ 121288/12021798. ------ 1. ==[ start ]==> (((^a.a)(b a))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(b a))((a (a a))(^y.b))) 3. ==[ beta ]==> ((b a)((a (a a))(^y.b))) 4. ==[ alpha ]==> ((b a)((a (a a))(^x.b))) REDUCED to normal form. ------ 121289/12021825. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.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. ------ 121290/12021861. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 121291/12021888. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(b a)) REDUCED to normal form. ------ 121292/12021942. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121293/12021960. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (b (((^y.y)(a a)) c)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) c)) 5. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 121294/12021969. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a a)) REDUCED to normal form. ------ 121295/12021996. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> (((a a)(^x.a)) b) REDUCED to normal form. ------ 121296/12022140. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))(b ((a a)(^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. ------ 121297/12022167. ------ 1. ==[ start ]==> (((a (a a))(a b))(a (b a))) REDUCED to normal form. ------ 121298/12022194. ------ 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))) REDUCED to normal form. ------ 121299/12022221. ------ 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 a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((a a)(a (^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((a a)(a (^y.y)))) REDUCED to normal form. ------ 121300/12022248. ------ 1. ==[ start ]==> (((a b)(a (a a)))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a (a a)))((a b)((^x.x) a))) 3. ==[ beta ]==> (((a b)(a (a a)))((a b) a)) REDUCED to normal form. ------ 121301/12022275. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (((a a) a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 121302/12022302. ------ 1. ==[ start ]==> ((((a 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)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 121303/12022356. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(a b))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (a b))) REDUCED to normal form. ------ 121304/12022446. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a)(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((a a)(((a a)(^z.z))(^x1.x1))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 121305/12022527. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (((a a) a)(^x.(x x)))) REDUCED to normal form. ------ 121306/12022635. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a (^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121307/12022644. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 121308/12022671. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a a)(^x1.x1))) REDUCED to normal form. ------ 121309/12022689. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y)) a)) 5. ==[ beta ]==> (((a a)(^y.y)) a) 6. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 121310/12022743. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a b) c)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a b) c)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a b) c)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a b) c)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a b) c)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a b) c)) 7. ==[ beta ]==> (((a a)(a a))((a b) c)) REDUCED to normal form. ------ 121311/12022752. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) b) REDUCED to normal form. ------ 121312/12022779. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(z z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 121313/12022833. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 121314/12022860. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.b))) 5. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 121315/12022887. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 121316/12022959. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(a a)) b)) 3. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 121317/12022977. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((a b)(a (^z.z)))) REDUCED to normal form. ------ 121318/12023004. ------ 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) a))) 3. ==[ beta ]==> (((a (^x.x))(b a))(((a a) a) a)) REDUCED to normal form. ------ 121319/12023031. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a (a a)))) 7. ==[ beta ]==> ((a ((a a)(^x.x)))(a (a a))) REDUCED to normal form. ------ 121320/12023058. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a (a a))(a a))((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a (a a))(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 121321/12023085. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((a b)(((^y.y) a)((a a) a))) 6. ==[ alpha ]==> ((a b)(((^x.x) a)((a a) a))) 7. ==[ beta ]==> ((a b)(a ((a a) a))) REDUCED to normal form. ------ 121322/12023112. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.x))(a b))) REDUCED to normal form. ------ 121323/12023139. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 121324/12023238. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121325/12023283. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 121326/12023445. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((a a) a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a) a) c)) 3. ==[ beta ]==> (b (((a a) a) c)) REDUCED to normal form. ------ 121327/12023562. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 121328/12023589. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((b a)((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> ((b a)((^x.x)(^y.(a a)))) 5. ==[ beta ]==> ((b a)(^y.(a a))) 6. ==[ alpha ]==> ((b a)(^x.(a a))) REDUCED to normal form. ------ 121329/12023607. ------ 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)) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 121330/12023634. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.b) b)) 3. ==[ beta ]==> ((^y.y)((^y1.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. ------ 121331/12023751. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(c (^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(c (^y.a))) REDUCED to normal form. ------ 121332/12023778. ------ 1. ==[ start ]==> (((a b)(^c.a))(b (^a.b))) 2. ==[ alpha ]==> (((a b)(^x.a))(b (^y.b))) REDUCED to normal form. ------ 121333/12023805. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(a (^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(a (^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 121334/12023832. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((^a.b)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.b)(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) b) REDUCED to normal form. ------ 121335/12023877. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121336/12023886. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) 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. ------ 121337/12023913. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(z z))(a (a a)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(z z))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(y y))(a (a a)))) 5. ==[ beta ]==> ((b (^x.x))((a (a a))(a (a a)))) REDUCED to normal form. ------ 121338/12024165. ------ 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. ------ 121339/12024219. ------ 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. ------ 121340/12024246. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a a))(((^y.y)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))(((^x.x)(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b (a a))((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((b (a a))((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((b (a a))(a (^y.y))) 8. ==[ alpha ]==> ((b (a a))(a (^x.x))) REDUCED to normal form. ------ 121341/12024273. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((a (a a))((^x.x) a))) 3. ==[ beta ]==> ((a ((a a)(a a)))((a (a a)) a)) REDUCED to normal form. ------ 121342/12024444. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((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. ------ 121343/12024552. ------ 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. ------ 121344/12024588. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 121345/12024615. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))(^y.a))) 3. ==[ beta ]==> ((((a a)(a a)) a)((^y.a)(^y.a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 121346/12024669. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))(^b.(^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. ------ 121347/12024714. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.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. ------ 121348/12024804. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (^y.(y y)))) REDUCED to normal form. ------ 121349/12024858. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a (^x1.a))) REDUCED to normal form. ------ 121350/12024903. ------ 1. ==[ start ]==> (((^a.(^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.(^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. ------ 121351/12024912. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a (^y1.y1))(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(a (^y1.y1)))) REDUCED to normal form. ------ 121352/12024939. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y))) a) REDUCED to normal form. ------ 121353/12024966. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 121354/12025083. ------ 1. ==[ start ]==> (((a (a a))(b a))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))(c ((^x.x) a))) 3. ==[ beta ]==> (((a (a a))(b a))(c a)) REDUCED to normal form. ------ 121355/12025110. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(b (a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 121356/12025137. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)(a a))(a (^y.y))) 6. ==[ alpha ]==> ((((a a) a)(a a))(a (^x.x))) REDUCED to normal form. ------ 121357/12025164. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a))(a a))) REDUCED to normal form. ------ 121358/12025191. ------ 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)))) 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. ------ 121359/12025218. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))((a (^z.z)) a)) REDUCED to normal form. ------ 121360/12025524. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a) b)) 3. ==[ beta ]==> (b ((^z.a) b)) 4. ==[ alpha ]==> (b ((^x.a) b)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121361/12025632. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121362/12025668. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((b c)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((b c)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((b c)((^y.y) a)) 6. ==[ alpha ]==> ((b c)((^x.x) a)) 7. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 121363/12025695. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 121364/12025740. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a) c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a) c)) 3. ==[ beta ]==> ((b (^y.y))((a a) c)) 4. ==[ alpha ]==> ((b (^x.x))((a a) c)) REDUCED to normal form. ------ 121365/12025767. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a) a)) 3. ==[ beta ]==> ((^y.y)((^z.a) a)) 4. ==[ alpha ]==> ((^x.x)((^y.a) a)) 5. ==[ beta ]==> ((^y.a) a) 6. ==[ alpha ]==> ((^x.a) a) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121366/12025803. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 121367/12025830. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a (^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a (^x1.a))) REDUCED to normal form. ------ 121368/12025902. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z)) a)) 3. ==[ beta ]==> (b ((a (^z.z)) a)) 4. ==[ alpha ]==> (b ((a (^x.x)) a)) REDUCED to normal form. ------ 121369/12025911. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 121370/12025938. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 121371/12026010. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121372/12026019. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a a)) REDUCED to normal form. ------ 121373/12026046. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.z))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 121374/12026073. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 121375/12028578. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((^x.((^y.y)(x x)))(^x1.x1)) 4. ==[ alpha ]==> ((^x.((^y.y)(x x)))(^z.z)) 5. ==[ beta ]==> ((^y.y)((^z.z)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121376/12034644. ------ 1. ==[ start ]==> ((^a.b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 121377/12034914. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121378/12035331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(b (^z.z)))) 5. ==[ beta ]==> (^y.(b (^z.z))) 6. ==[ alpha ]==> (^x.(b (^y.y))) REDUCED to normal form. ------ 121379/12035409. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121380/12035967. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(y y))(b a))) 3. ==[ beta ]==> ((((^y.(y y))(b a))((^y.(y y))(b a)))((^y.(y y))(b a))) 4. ==[ alpha ]==> ((((^x.(x x))(b a))((^y.(y y))(b a)))((^z.(z z))(b a))) 5. ==[ beta ]==> ((((b a)(b a))((^y.(y y))(b a)))((^z.(z z))(b a))) 6. ==[ alpha ]==> ((((b a)(b a))((^x.(x x))(b a)))((^y.(y y))(b a))) 7. ==[ beta ]==> ((((b a)(b a))((b a)(b a)))((^y.(y y))(b a))) 8. ==[ alpha ]==> ((((b a)(b a))((b a)(b a)))((^x.(x x))(b a))) 9. ==[ beta ]==> ((((b a)(b a))((b a)(b a)))((b a)(b a))) REDUCED to normal form. ------ 121381/12036402. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (((a (a a)) a)(^y.(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.(a a)))) REDUCED to normal form. ------ 121382/12037074. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)((^x1.x1) b))((^z.z)((^x1.x1) b)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)((^z.z) b))((^x1.x1)((^y1.y1) b)))) 5. ==[ beta ]==> (((^y.y)((^z.z) b))((^x1.x1)((^y1.y1) b))) 6. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)((^x1.x1) b))) 7. ==[ beta ]==> (((^y.y) b)((^z.z)((^x1.x1) b))) 8. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) b))) 9. ==[ beta ]==> (b ((^y.y)((^z.z) b))) 10. ==[ alpha ]==> (b ((^x.x)((^y.y) b))) 11. ==[ beta ]==> (b ((^y.y) b)) 12. ==[ alpha ]==> (b ((^x.x) b)) 13. ==[ beta ]==> (b b) REDUCED to normal form. ------ 121383/12037077. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> ((a ((^x.x)(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. ------ 121384/12037725. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(^a.(^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. ------ 121385/12037749. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((^z.(^x1.(^y1.y1)))(a a))) 3. ==[ beta ]==> ((((^z.(^x1.(^y1.y1)))(a a))((^z.(^x1.(^y1.y1)))(a a)))(^y.y)) 4. ==[ alpha ]==> ((((^x.(^y.(^z.z)))(a a))((^x1.(^y1.(^z1.z1)))(a a)))(^x2.x2)) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a a)))(^x2.x2)) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a a)))(^z1.z1)) 7. ==[ beta ]==> ((^y.y)(^z1.z1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121386/12038319. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121387/12038598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(^c.(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(^z.(b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(^z.(b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(b a))) 5. ==[ beta ]==> (b (^z.(b a))) 6. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 121388/12038877. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(^c.(^d.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 121389/12039921. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.((x1 x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((x1 x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121390/12039945. ------ 1. ==[ start ]==> ((^a.(^b.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121391/12040260. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121392/12040596. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((^z.z)(y y)))) 5. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 6. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 7. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 121393/12040992. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(a y))) 3. ==[ eta ]==> ((((^x.x) a)(b a)) a) 4. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 121394/12041703. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(^y.((y y) y))) 3. ==[ beta ]==> (((b a)(b a))(^y.((y y) y))) 4. ==[ alpha ]==> (((b a)(b a))(^x.((x x) x))) REDUCED to normal form. ------ 121395/12041991. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^x.(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.(^y.y))) REDUCED to normal form. ------ 121396/12042126. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 121397/12042261. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 121398/12042339. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121399/12042657. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 121400/12042756. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.(^y.y))((a a)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.z)) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121401/12042819. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.c)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.c)) REDUCED to normal form. ------ 121402/12042891. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 121403/12042927. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.b)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.b)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.b)) REDUCED to normal form. ------ 121404/12043035. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.a)) 3. ==[ beta ]==> ((b (^y.a))(^z.a)) 4. ==[ alpha ]==> ((b (^x.a))(^y.a)) REDUCED to normal form. ------ 121405/12043062. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 121406/12043110. ------ 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. ------ 121407/12043137. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a a) a)(b (^y.a))) 4. ==[ alpha ]==> (((a a) a)(b (^x.a))) REDUCED to normal form. ------ 121408/12043146. ------ 1. ==[ start ]==> ((a b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> ((a b)((^y.y) a)) 4. ==[ alpha ]==> ((a b)((^x.x) a)) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 121409/12043164. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 121410/12043191. ------ 1. ==[ start ]==> (((^a.a) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((b a)(^y.(^z.z)))) 3. ==[ beta ]==> (b ((b a)(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 121411/12043245. ------ 1. ==[ start ]==> (((a a) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.b))) 3. ==[ beta ]==> (((a a) b)((a a)(^y.b))) 4. ==[ alpha ]==> (((a a) b)((a a)(^x.b))) REDUCED to normal form. ------ 121412/12043272. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a b)(^y.(a a)))) REDUCED to normal form. ------ 121413/12043362. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 121414/12043380. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^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. ------ 121415/12043389. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 121416/12043416. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 121417/12043461. ------ 1. ==[ start ]==> (((a (^a.a)) b)((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x)) b)((b (^y.y)) a)) REDUCED to normal form. ------ 121418/12043488. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a) a)(((a a)(a a)) b)) 3. ==[ beta ]==> ((a a)(((a a)(a a)) b)) REDUCED to normal form. ------ 121419/12043515. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a)(^x.a))(b c)) REDUCED to normal form. ------ 121420/12043632. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 121421/12043659. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 121422/12043803. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 121423/12043830. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (b (^y.y)))) 5. ==[ beta ]==> (a (b (^y.y))) 6. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 121424/12043884. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(b (a (^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 121425/12043893. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y) c)) 3. ==[ beta ]==> (((a (a a))(^x.x)) c) REDUCED to normal form. ------ 121426/12043911. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 121427/12044046. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121428/12044073. ------ 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))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 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. ------ 121429/12044127. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(a (^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(a (^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 121430/12044181. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 121431/12044217. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 121432/12044244. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))(b (^y.(^z.z)))) REDUCED to normal form. ------ 121433/12044271. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) REDUCED to normal form. ------ 121434/12044298. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((b a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((b a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.y)((b a)(^z.(z z)))) 6. ==[ alpha ]==> ((^x.x)((b a)(^y.(y y)))) 7. ==[ beta ]==> ((b a)(^y.(y y))) 8. ==[ alpha ]==> ((b a)(^x.(x x))) REDUCED to normal form. ------ 121435/12044361. ------ 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. ------ 121436/12044388. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.b)(a b))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.b)(a b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)(a b))) 5. ==[ beta ]==> ((a a)((^y.b)(a b))) 6. ==[ alpha ]==> ((a a)((^x.b)(a b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 121437/12044442. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 121438/12044469. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(x x))(b a))) 3. ==[ beta ]==> ((a ((a a) a))((b a)(b a))) REDUCED to normal form. ------ 121439/12044595. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) b) b)) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) b) b)) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) b) b)) 5. ==[ beta ]==> (b (((^y.y) b) b)) 6. ==[ alpha ]==> (b (((^x.x) b) b)) 7. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 121440/12044847. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 121441/12044874. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 121442/12044973. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1))) c)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) c)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 121443/12044991. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((b a)((^z.z) a))) 3. ==[ beta ]==> ((^y.b)((b a)((^z.z) a))) 4. ==[ alpha ]==> ((^x.b)((b a)((^y.y) a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121444/12045072. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((a a) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a b)((a a) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a b)((a a) a))) IRREDUCIBLE: cycle. ------ 121445/12045153. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a (a a))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 121446/12045180. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y) a)(b a))) 3. ==[ beta ]==> ((a b)(((^y.y) a)(b a))) 4. ==[ alpha ]==> ((a b)(((^x.x) a)(b a))) 5. ==[ beta ]==> ((a b)(a (b a))) REDUCED to normal form. ------ 121447/12045207. ------ 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. ------ 121448/12045270. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 121449/12045297. ------ 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.(^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 REDUCED to normal form. ------ 121450/12045324. ------ 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. ------ 121451/12045351. ------ 1. ==[ start ]==> (((a b)(^a.a))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 121452/12045387. ------ 1. ==[ start ]==> (((a a)(a b))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 121453/12045414. ------ 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. ------ 121454/12045468. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.y))((^z.z)(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. ------ 121455/12045495. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(z z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(y y))((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.(y y))((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.(x x))((a a)(^y.y)))) 9. ==[ beta ]==> (a (((a a)(^y.y))((a a)(^y.y)))) 10. ==[ alpha ]==> (a (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 121456/12045522. ------ 1. ==[ start ]==> ((((a a) a)(a (^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(a (^x.x)))((^y.a)(b a))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x))) a) REDUCED to normal form. ------ 121457/12045540. ------ 1. ==[ start ]==> (((^a.b) b)((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) b)((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121458/12045549. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 121459/12045576. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 121460/12045882. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (a (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (((^y.y)(^z.z))(b (a (^x1.(^y1.y1))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(b (a (^z.(^x1.x1))))) 9. ==[ beta ]==> ((^y.y)(b (a (^z.(^x1.x1))))) 10. ==[ alpha ]==> ((^x.x)(b (a (^y.(^z.z))))) 11. ==[ beta ]==> (b (a (^y.(^z.z)))) 12. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 121461/12045918. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1) a)) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z) a)) 5. ==[ beta ]==> ((^y.(y y))((^z.z) a)) 6. ==[ alpha ]==> ((^x.(x x))((^y.y) a)) 7. ==[ beta ]==> (((^y.y) a)((^y.y) a)) 8. ==[ alpha ]==> (((^x.x) a)((^y.y) a)) 9. ==[ beta ]==> (a ((^y.y) a)) 10. ==[ alpha ]==> (a ((^x.x) a)) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121462/12045945. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 121463/12045963. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (b ((b a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((b a)(a (^x.x)))) REDUCED to normal form. ------ 121464/12046197. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121465/12046224. ------ 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. ------ 121466/12046251. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 121467/12046431. ------ 1. ==[ start ]==> (((a b) c)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b) c)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 121468/12046458. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 121469/12046539. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 121470/12046566. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((b a) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((b a) b)) 3. ==[ beta ]==> ((a (^y.b))((b a) b)) 4. ==[ alpha ]==> ((a (^x.b))((b a) b)) REDUCED to normal form. ------ 121471/12046764. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) a) REDUCED to normal form. ------ 121472/12046818. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a b))((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a b))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 121473/12047097. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a a)(b a))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a a)(b a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a a)(b a))) 5. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 121474/12047241. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 121475/12047349. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 121476/12047430. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((a a)(^z.z)) b)) REDUCED to normal form. ------ 121477/12047457. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y)(a a)) c)) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a a) c)) REDUCED to normal form. ------ 121478/12047574. ------ 1. ==[ start ]==> (((a a)(b a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a a)(b a))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 121479/12047601. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 121480/12047853. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1) a)(a b))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1) a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) a)(a b))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121481/12048132. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 121482/12048240. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a b) c)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a b) c)) REDUCED to normal form. ------ 121483/12048420. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(a ((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a ((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121484/12048447. ------ 1. ==[ start ]==> ((a (^b.b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 121485/12048627. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 121486/12048681. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(a a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 121487/12048726. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((a a) a)(^x1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^x1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121488/12048762. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(a (a a)))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(a (a a)))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 121489/12049095. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(a ((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(a ((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(a ((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 121490/12049104. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(a a)) a)) 3. ==[ beta ]==> (((a a)(^x.x))(a a)) REDUCED to normal form. ------ 121491/12049122. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((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. ------ 121492/12049131. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.b) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.b) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) b) REDUCED to normal form. ------ 121493/12049176. ------ 1. ==[ start ]==> (((^a.(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))((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z) a)) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 121494/12049257. ------ 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. ------ 121495/12049320. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a b)(^z.z))) REDUCED to normal form. ------ 121496/12049374. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^z1.z1)(^x2.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^z1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.a)) REDUCED to normal form. ------ 121497/12049401. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a (a a))(^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))((a (a a))(^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))((a (a a))(^y.(y y)))) REDUCED to normal form. ------ 121498/12049437. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 121499/12049464. ------ 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. ------ 121500/12049491. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.y)(a b))) 3. ==[ beta ]==> ((a (b a))((^y.y)(a b))) 4. ==[ alpha ]==> ((a (b a))((^x.x)(a b))) 5. ==[ beta ]==> ((a (b a))(a b)) REDUCED to normal form. ------ 121501/12049518. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.b)(^z.z))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) b) REDUCED to normal form. ------ 121502/12049572. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 121503/12049599. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> (((a b)((a a) a))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 121504/12049626. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 121505/12049797. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 121506/12050076. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> ((b b)((^y.y) b)) 6. ==[ alpha ]==> ((b b)((^x.x) b)) 7. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 121507/12050148. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(c (a (a a)))) 3. ==[ beta ]==> ((^y.y)(c (a (a a)))) 4. ==[ alpha ]==> ((^x.x)(c (a (a a)))) 5. ==[ beta ]==> (c (a (a a))) REDUCED to normal form. ------ 121508/12050202. ------ 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 a)(b a))(a ((a a) a))) REDUCED to normal form. ------ 121509/12050265. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y)) c)) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(c c)) REDUCED to normal form. ------ 121510/12050283. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^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. ------ 121511/12050400. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 121512/12050427. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a (^x1.a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 121513/12050454. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 121514/12050490. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 121515/12050517. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 121516/12050544. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 121517/12050571. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 121518/12050598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 121519/12050625. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 121520/12050760. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 121521/12050787. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y))(a a))) 5. ==[ beta ]==> ((b (a (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 121522/12050814. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 121523/12050841. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(^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. ------ 121524/12051012. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a)(a a))) 3. ==[ beta ]==> (b (((^z.z) a)(a a))) 4. ==[ alpha ]==> (b (((^x.x) a)(a a))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 121525/12051156. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)(^y.a))) 3. ==[ beta ]==> ((b c)((a a)(^y.a))) 4. ==[ alpha ]==> ((b c)((a a)(^x.a))) REDUCED to normal form. ------ 121526/12051183. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a) a)) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a) a)) 3. ==[ beta ]==> ((((a a)(a a)) b)(a a)) REDUCED to normal form. ------ 121527/12051228. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 121528/12051255. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> ((^y.y)(a ((^z.z) a))) 4. ==[ alpha ]==> ((^x.x)(a ((^y.y) a))) 5. ==[ beta ]==> (a ((^y.y) a)) 6. ==[ alpha ]==> (a ((^x.x) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121529/12051291. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) b)) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 121530/12051309. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(a (^y1.y1)))) REDUCED to normal form. ------ 121531/12051390. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a c)) 3. ==[ beta ]==> (b (a c)) REDUCED to normal form. ------ 121532/12051399. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y)) a)) REDUCED to normal form. ------ 121533/12051426. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a) b)) 3. ==[ beta ]==> (((a a)(^y.b))((a a) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((a a) b)) REDUCED to normal form. ------ 121534/12051498. ------ 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))(b a)) 4. ==[ alpha ]==> ((^x.(^y.y))(b a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121535/12051507. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 121536/12051534. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.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. ------ 121537/12051561. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) a) REDUCED to normal form. ------ 121538/12051587. ------ 1. ==[ start ]==> (^a.((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (^x.((b (^y.y))(^z.z))) REDUCED to normal form. ------ 121539/12051588. ------ 1. ==[ start ]==> (a ((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (a ((b (^x.x))(^y.y))) REDUCED to normal form. ------ 121540/12060096. ------ 1. ==[ start ]==> ((^a.a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((b (^y.y))(^z.z)) 4. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 121541/12060123. ------ 1. ==[ start ]==> ((^a.(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^y.(^z.z)))(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 121542/12060150. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 121543/12060186. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(a (a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121544/12060348. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))(b a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121545/12060459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(y1 (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^y1.(y1 (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 121546/12060846. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 121547/12061197. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(^c.((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.((a a)(a a)))) REDUCED to normal form. ------ 121548/12061566. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.((a a)(a a)))) 5. ==[ beta ]==> (a (^z.((a a)(a a)))) 6. ==[ alpha ]==> (a (^x.((a a)(a a)))) REDUCED to normal form. ------ 121549/12061806. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 121550/12061986. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.(^x1.x1))) c)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1))) c) b) 4. ==[ alpha ]==> (((^x.(^y.(^z.z))) c) 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. ------ 121551/12062250. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 121552/12062373. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.x1))(a (a a)))((^z.(^x1.x1))(a (a a))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.z))(a (a a)))((^x1.(^y1.y1))(a (a a))))) 5. ==[ beta ]==> (^x.((^z.z)((^x1.(^y1.y1))(a (a a))))) 6. ==[ alpha ]==> (^x.((^y.y)((^z.(^x1.x1))(a (a a))))) 7. ==[ beta ]==> (^x.((^z.(^x1.x1))(a (a a)))) 8. ==[ alpha ]==> (^x.((^y.(^z.z))(a (a a)))) 9. ==[ beta ]==> (^x.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121553/12062580. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 121554/12062592. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.x)(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.z)) 5. ==[ beta ]==> ((^y.(a a))(^z.z)) 6. ==[ alpha ]==> ((^x.(a a))(^y.y)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121555/12062925. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((^y.(y y))(^z.((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.(x x))(^y.((^z.z) b))) 7. ==[ beta ]==> ((^y.((^z.z) b))(^y.((^z.z) b))) 8. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1) b))) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 121556/12063255. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> ((((a (^z.(^x1.x1)))(^y1.y1))((a (^z.(^x1.x1)))(^y1.y1)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.(^y.y)))(^z.z))((a (^x1.(^y1.y1)))(^z1.z1)))(^x2.x2)) REDUCED to normal form. ------ 121557/12063537. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(^x1.(a (^y1.(^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. ------ 121558/12064560. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 121559/12065184. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(^z.z)))) 5. ==[ beta ]==> (^y.((a a)(^z.z))) 6. ==[ alpha ]==> (^x.((a a)(^y.y))) REDUCED to normal form. ------ 121560/12065427. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121561/12065436. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.((x1 x1)(^y1.y1)))) REDUCED to normal form. ------ 121562/12065766. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121563/12066102. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 121564/12066111. ------ 1. ==[ start ]==> (((a a)(^b.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a a)(^x.x))(^y.(y y))) REDUCED to normal form. ------ 121565/12066300. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(^x1.(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(^x1.(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(a b))) REDUCED to normal form. ------ 121566/12066498. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(^c.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(^y.(^z.b))) 3. ==[ beta ]==> ((a (b a))(^y.(^z.b))) 4. ==[ alpha ]==> ((a (b a))(^x.(^y.b))) REDUCED to normal form. ------ 121567/12066765. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(^z.z)) c)) 3. ==[ beta ]==> ((((^y.(^z.z)) c)((^y.(^z.z)) c))(((^y.(^z.z)) c)((^y.(^z.z)) c))) 4. ==[ alpha ]==> ((((^x.(^y.y)) c)((^z.(^x1.x1)) c))(((^y1.(^z1.z1)) c)((^x2.(^y2.y2)) c))) 5. ==[ beta ]==> (((^y.y)((^z.(^x1.x1)) c))(((^y1.(^z1.z1)) c)((^x2.(^y2.y2)) c))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z)) c))(((^x1.(^y1.y1)) c)((^z1.(^x2.x2)) c))) 7. ==[ beta ]==> (((^y.(^z.z)) c)(((^x1.(^y1.y1)) c)((^z1.(^x2.x2)) c))) 8. ==[ alpha ]==> (((^x.(^y.y)) c)(((^z.(^x1.x1)) c)((^y1.(^z1.z1)) c))) 9. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1)) c)((^y1.(^z1.z1)) c))) 10. ==[ alpha ]==> ((^x.x)(((^y.(^z.z)) c)((^x1.(^y1.y1)) c))) 11. ==[ beta ]==> (((^y.(^z.z)) c)((^x1.(^y1.y1)) c)) 12. ==[ alpha ]==> (((^x.(^y.y)) c)((^z.(^x1.x1)) c)) 13. ==[ beta ]==> ((^y.y)((^z.(^x1.x1)) c)) 14. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 15. ==[ beta ]==> ((^y.(^z.z)) c) 16. ==[ alpha ]==> ((^x.(^y.y)) c) 17. ==[ beta ]==> (^y.y) 18. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121568/12067047. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^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. ------ 121569/12067209. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(^b.(^c.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. ------ 121570/12067353. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^c.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^z1.z1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 121571/12067845. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))(^x1.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121572/12068163. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.c)) 3. ==[ beta ]==> ((b c)(^y.c)) 4. ==[ alpha ]==> ((b c)(^x.c)) REDUCED to normal form. ------ 121573/12068262. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.a))) 5. ==[ beta ]==> (^y.(^z.a)) 6. ==[ alpha ]==> (^x.(^y.a)) REDUCED to normal form. ------ 121574/12068397. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 121575/12068406. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 121576/12068505. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121577/12068541. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.b)) 3. ==[ beta ]==> ((b (^y.a))(^z.b)) 4. ==[ alpha ]==> ((b (^x.a))(^y.b)) REDUCED to normal form. ------ 121578/12068568. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 121579/12068607. ------ 1. ==[ start ]==> ((a a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 121580/12068634. ------ 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. ------ 121581/12068661. ------ 1. ==[ start ]==> ((a b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a b)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> ((a b)(b (^y.a))) 4. ==[ alpha ]==> ((a b)(b (^x.a))) REDUCED to normal form. ------ 121582/12068670. ------ 1. ==[ start ]==> (((^a.a)(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a a))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a a)((^y.y)((^z.z) a))) 4. ==[ alpha ]==> ((a a)((^x.x)((^y.y) a))) 5. ==[ beta ]==> ((a a)((^y.y) a)) 6. ==[ alpha ]==> ((a a)((^x.x) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 121583/12068697. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121584/12068715. ------ 1. ==[ start ]==> (((a a)(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 121585/12068778. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121586/12068805. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 121587/12068859. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 121588/12068877. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121589/12068904. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a a))(a (^y.y))) REDUCED to normal form. ------ 121590/12068940. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 121591/12068967. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(b (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(b (^z1.z1)))) 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. ------ 121592/12069048. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 121593/12069291. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 7. ==[ beta ]==> ((^y.a)(^z.z)) 8. ==[ alpha ]==> ((^x.a)(^y.y)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 121594/12069327. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))(b ((a a)(a a)))) REDUCED to normal form. ------ 121595/12069354. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(a (b (^z.z)))) REDUCED to normal form. ------ 121596/12069381. ------ 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. ------ 121597/12069408. ------ 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))(^x.x))(b (a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 121598/12069516. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y)(a a))((a a) a))) 3. ==[ beta ]==> ((b b)(((^y.y)(a a))((a a) a))) 4. ==[ alpha ]==> ((b b)(((^x.x)(a a))((a a) a))) 5. ==[ beta ]==> ((b b)((a a)((a a) a))) REDUCED to normal form. ------ 121599/12069651. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x) a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a)) b)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a)) b)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 121600/12069678. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> (a ((a (^y.y))((^z.z) b))) 6. ==[ alpha ]==> (a ((a (^x.x))((^y.y) b))) 7. ==[ beta ]==> (a ((a (^x.x)) b)) REDUCED to normal form. ------ 121601/12069696. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 121602/12069705. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 121603/12069777. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(a (^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (^z.z))) REDUCED to normal form. ------ 121604/12069849. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 121605/12069903. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a b)(^z.b))) 3. ==[ beta ]==> ((a ((^y.y) a))((a b)(^z.b))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.b))) 5. ==[ beta ]==> ((a a)((a b)(^y.b))) 6. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 121606/12069930. ------ 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. ------ 121607/12070020. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121608/12070074. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> (a ((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.x)((a a)(a a)))) 7. ==[ beta ]==> (a ((a a)(a a))) REDUCED to normal form. ------ 121609/12070155. ------ 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. ------ 121610/12070236. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))(^x1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(^z.a))) 7. ==[ beta ]==> ((a a)((^y.(a a))(^z.a))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.a))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 121611/12070317. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 121612/12070470. ------ 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. ------ 121613/12070488. ------ 1. ==[ start ]==> (((^a.b) a)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b) a)((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 121614/12070497. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> ((a (a b))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a b))(^x.(^y.y))) REDUCED to normal form. ------ 121615/12070650. ------ 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. ------ 121616/12070677. ------ 1. ==[ start ]==> (((a b) a)((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 121617/12070704. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a a)(^x.b))(a (b a))) REDUCED to normal form. ------ 121618/12070758. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a a)((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)((^z.z) b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 121619/12070884. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))(a (a a)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 121620/12070902. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(a b))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a)(a b))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 121621/12070929. ------ 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. ------ 121622/12070956. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a) a)(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a) a)(^z.b))) 5. ==[ beta ]==> ((a (^y.y))(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))(((a a) a)(^y.b))) REDUCED to normal form. ------ 121623/12070983. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(^y.(a a))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))(^x.(a a))) REDUCED to normal form. ------ 121624/12071064. ------ 1. ==[ start ]==> (((a b)(a a))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(a a))((a (^x.x))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121625/12071091. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 121626/12071100. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.(a a))((^z.z)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.y)((^z.z) b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121627/12071127. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 5. ==[ beta ]==> ((^y.y)(^z.z)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121628/12071262. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 121629/12071316. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a a)((^y.(^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((a a)((^x.(^y.y))(^z.(a a)))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 121630/12071343. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121631/12071397. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121632/12071406. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 121633/12071433. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(a ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(a ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(a ((^z.z) b))) 5. ==[ beta ]==> ((^y.(y y))(a ((^z.z) b))) 6. ==[ alpha ]==> ((^x.(x x))(a ((^y.y) b))) 7. ==[ beta ]==> ((a ((^y.y) b))(a ((^y.y) b))) 8. ==[ alpha ]==> ((a ((^x.x) b))(a ((^y.y) b))) 9. ==[ beta ]==> ((a b)(a ((^y.y) b))) 10. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 121634/12071460. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 121635/12071487. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((b a)(a (^z.z)))) REDUCED to normal form. ------ 121636/12071514. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(((a a)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a)(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 121637/12071703. ------ 1. ==[ start ]==> (((^a.b) c)((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.b) c)((a (^y.y))(b a))) 3. ==[ beta ]==> (b ((a (^y.y))(b a))) 4. ==[ alpha ]==> (b ((a (^x.x))(b a))) REDUCED to normal form. ------ 121638/12071766. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.(^z.z)))(^x1.x1))) REDUCED to normal form. ------ 121639/12071937. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121640/12072018. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(b a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 121641/12072045. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.x1)(a (^y1.(^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. ------ 121642/12072180. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 121643/12072360. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.(^z.z))) a)) 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. ------ 121644/12072693. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121645/12072801. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 121646/12072828. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(x1 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. ------ 121647/12072882. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 121648/12072963. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121649/12073071. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 121650/12073251. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.(a a)) c)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(a a)) c)) 3. ==[ beta ]==> (((a b)(a (a a)))(a a)) REDUCED to normal form. ------ 121651/12073350. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121652/12073530. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (b ((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 121653/12073638. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121654/12073665. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121655/12073692. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 121656/12073746. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 121657/12073827. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121658/12073890. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(c (a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(c (a b))) REDUCED to normal form. ------ 121659/12073944. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(a ((a a)(^x1.x1)))) REDUCED to normal form. ------ 121660/12073980. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(a a)) b)) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 121661/12074007. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.b) c)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.b) c)) 3. ==[ beta ]==> (((a (^x.x))(b a)) b) REDUCED to normal form. ------ 121662/12074196. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a))(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^z.z))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.y))) REDUCED to normal form. ------ 121663/12074250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(((a a) a)(^z.a))) REDUCED to normal form. ------ 121664/12074277. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(z z)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(y y)))) 7. ==[ beta ]==> ((a b)(^y.(y y))) 8. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 121665/12074286. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121666/12074313. ------ 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 z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^z1.(z1 z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121667/12074448. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 121668/12074556. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.a)(^x2.a))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.a)(^x2.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121669/12074565. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)(c ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)(c ((a a) a))) REDUCED to normal form. ------ 121670/12074592. ------ 1. ==[ start ]==> ((((^a.a) b) a)(b (a b))) 2. ==[ alpha ]==> ((((^x.x) b) a)(b (a b))) 3. ==[ beta ]==> ((b a)(b (a b))) REDUCED to normal form. ------ 121671/12074610. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 121672/12074619. ------ 1. ==[ start ]==> (((a a)(^b.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(a (a a))) REDUCED to normal form. ------ 121673/12074646. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((a b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a b)(a a))) REDUCED to normal form. ------ 121674/12074727. ------ 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 (a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(a (a a)))) 5. ==[ beta ]==> ((^y.(a a))((a (a a))(a (a a)))) 6. ==[ alpha ]==> ((^x.(a a))((a (a a))(a (a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121675/12074754. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 121676/12074772. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(c (^c.a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 121677/12074781. ------ 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. ------ 121678/12074808. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a a)(a b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a a)(a b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(a b))) REDUCED to normal form. ------ 121679/12074952. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) b)(a (^y.(^z.z)))) 6. ==[ alpha ]==> (((a a) b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 121680/12075006. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a a)(^y.b))) 3. ==[ beta ]==> ((a (b a))((a a)(^y.b))) 4. ==[ alpha ]==> ((a (b a))((a a)(^x.b))) REDUCED to normal form. ------ 121681/12075033. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a b) a)) REDUCED to normal form. ------ 121682/12075060. ------ 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. ------ 121683/12075087. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> ((((a a) a)(a b))((^y.y) c)) 4. ==[ alpha ]==> ((((a a) a)(a b))((^x.x) c)) 5. ==[ beta ]==> ((((a a) a)(a b)) c) REDUCED to normal form. ------ 121684/12075222. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.b) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.b) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 121685/12075249. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^c.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a) b)) 3. ==[ beta ]==> ((b (a a))((^y.a) b)) 4. ==[ alpha ]==> ((b (a a))((^x.a) b)) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 121686/12075276. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.(^a.a)) c)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 121687/12075447. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((^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. ------ 121688/12075555. ------ 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. ------ 121689/12075636. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((a a)(a a))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.a))) 7. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 121690/12075663. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(z z))) 6. ==[ alpha ]==> ((^x.a)(^y.(y y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121691/12075672. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(c (a (a a)))) REDUCED to normal form. ------ 121692/12075699. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(b ((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b ((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(b (^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(b (^x1.x1))) REDUCED to normal form. ------ 121693/12075717. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.a)(^c.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. ------ 121694/12075780. ------ 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. ------ 121695/12075807. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^x.b))(a ((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.b))(a ((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 121696/12075861. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a a)(^x1.x1))) REDUCED to normal form. ------ 121697/12075906. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^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. ------ 121698/12076005. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 121699/12076032. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1)) a)) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1)) a)) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z)) a)) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z) a)) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y) a)) 7. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 121700/12076059. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a)) b)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a)) b)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a)) b)) REDUCED to normal form. ------ 121701/12076086. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a) c)) 3. ==[ beta ]==> (((a (a a))(b a))(a c)) REDUCED to normal form. ------ 121702/12076167. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 121703/12076194. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(y y)) b)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y)) b)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x)) b)) 5. ==[ beta ]==> (((a a)((a a) a))(b b)) REDUCED to normal form. ------ 121704/12076221. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a) c)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a) c)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 121705/12076302. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(^z.z))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 121706/12076329. ------ 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. ------ 121707/12076356. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))(^z.a))) REDUCED to normal form. ------ 121708/12076446. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121709/12076635. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(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. ------ 121710/12076671. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b c)) 2. ==[ alpha ]==> ((((^x.x) b) c)(b c)) 3. ==[ beta ]==> ((b c)(b c)) REDUCED to normal form. ------ 121711/12076743. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 121712/12076770. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.a))) 5. ==[ beta ]==> ((^y.y)(^z.a)) 6. ==[ alpha ]==> ((^x.x)(^y.a)) 7. ==[ beta ]==> (^y.a) 8. ==[ alpha ]==> (^x.a) REDUCED to normal form. ------ 121713/12076806. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(a a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(a a))) REDUCED to normal form. ------ 121714/12076824. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (^y1.(^z1.z1)))) REDUCED to normal form. ------ 121715/12076833. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(a (^x1.x1)))) REDUCED to normal form. ------ 121716/12076905. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 121717/12076914. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a c)) REDUCED to normal form. ------ 121718/12076941. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (a a))) 3. ==[ beta ]==> (((a a)(^y.b))(b (a a))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (a a))) REDUCED to normal form. ------ 121719/12077013. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121720/12077022. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b a)) REDUCED to normal form. ------ 121721/12077049. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a b)) 3. ==[ beta ]==> ((b (^y.a))(a b)) 4. ==[ alpha ]==> ((b (^x.a))(a b)) REDUCED to normal form. ------ 121722/12077076. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (a a))) REDUCED to normal form. ------ 121723/12085638. ------ 1. ==[ start ]==> ((^a.(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121724/12085719. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121725/12086001. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(y (^z.z)))) REDUCED to normal form. ------ 121726/12086448. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121727/12086574. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121728/12087099. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(^z.(^x1.(a a)))) 5. ==[ beta ]==> (a (^z.(^x1.(a a)))) 6. ==[ alpha ]==> (a (^x.(^y.(a a)))) REDUCED to normal form. ------ 121729/12087468. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.((x1 x1)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.((x1 x1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.((z z)(z z)))) 5. ==[ beta ]==> ((a (^y.y))(^z.((z z)(z z)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(y y)))) REDUCED to normal form. ------ 121730/12087519. ------ 1. ==[ start ]==> ((^a.(a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x b))((a (^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^x1.x1))) b) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z))) b) REDUCED to normal form. ------ 121731/12087906. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((a a)(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.((((a a)(^z.z))(^x1.(x1 x1)))(((a a)(^z.z))(^x1.(x1 x1))))) 4. ==[ alpha ]==> (^x.((((a a)(^y.y))(^z.(z z)))(((a a)(^x1.x1))(^y1.(y1 y1))))) REDUCED to normal form. ------ 121732/12088125. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.x1))) 3. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121733/12088458. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(^z.(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121734/12089079. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 121735/12089385. ------ 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. ------ 121736/12089544. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(^z.z))((a a) a))) 3. ==[ eta ]==> (b (((^y.y)(^z.z))((a a) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 5. ==[ beta ]==> (b ((^y.y)((a a) a))) 6. ==[ alpha ]==> (b ((^x.x)((a a) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 121737/12090222. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((a a) a)) b) 4. ==[ beta ]==> (((^y.y)((a a) a)) b) 5. ==[ alpha ]==> (((^x.x)((a a) a)) b) 6. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 121738/12090381. ------ 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 ]==> (((a (a a))((a a) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 121739/12090717. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 121740/12090969. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 121741/12090984. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121742/12091644. ------ 1. ==[ start ]==> (((a a)(^b.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 121743/12091860. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(^z.(^x1.(z z)))) REDUCED to normal form. ------ 121744/12092247. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^a.(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(x1 b))) REDUCED to normal form. ------ 121745/12092298. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(((^y.y)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((((^y.y)(^z.z))(a (^x1.x1)))(((^y.y)(^z.z))(a (^x1.x1))))((((^y.y)(^z.z))(a (^x1.x1)))(((^y.y)(^z.z))(a (^x1.x1))))) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))((((^x2.x2)(^y2.y2))(a (^z2.z2)))(((^x3.x3)(^y3.y3))(a (^z3.z3))))) 5. ==[ beta ]==> ((((^y.y)(a (^z.z)))(((^x1.x1)(^y1.y1))(a (^z1.z1))))((((^x2.x2)(^y2.y2))(a (^z2.z2)))(((^x3.x3)(^y3.y3))(a (^z3.z3))))) 6. ==[ alpha ]==> ((((^x.x)(a (^y.y)))(((^z.z)(^x1.x1))(a (^y1.y1))))((((^z1.z1)(^x2.x2))(a (^y2.y2)))(((^z2.z2)(^x3.x3))(a (^y3.y3))))) 7. ==[ beta ]==> (((a (^y.y))(((^z.z)(^x1.x1))(a (^y1.y1))))((((^z1.z1)(^x2.x2))(a (^y2.y2)))(((^z2.z2)(^x3.x3))(a (^y3.y3))))) 8. ==[ alpha ]==> (((a (^x.x))(((^y.y)(^z.z))(a (^x1.x1))))((((^y1.y1)(^z1.z1))(a (^x2.x2)))(((^y2.y2)(^z2.z2))(a (^x3.x3))))) 9. ==[ beta ]==> (((a (^x.x))((^z.z)(a (^x1.x1))))((((^y1.y1)(^z1.z1))(a (^x2.x2)))(((^y2.y2)(^z2.z2))(a (^x3.x3))))) 10. ==[ alpha ]==> (((a (^x.x))((^y.y)(a (^z.z))))((((^x1.x1)(^y1.y1))(a (^z1.z1)))(((^x2.x2)(^y2.y2))(a (^z2.z2))))) 11. ==[ beta ]==> (((a (^x.x))(a (^z.z)))((((^x1.x1)(^y1.y1))(a (^z1.z1)))(((^x2.x2)(^y2.y2))(a (^z2.z2))))) 12. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((((^z.z)(^x1.x1))(a (^y1.y1)))(((^z1.z1)(^x2.x2))(a (^y2.y2))))) 13. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(((^x1.x1)(a (^y1.y1)))(((^z1.z1)(^x2.x2))(a (^y2.y2))))) 14. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z)(a (^x1.x1)))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 15. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^x1.x1))(((^y1.y1)(^z1.z1))(a (^x2.x2))))) 16. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1))))) 17. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^y1.y1)(a (^z1.z1))))) 18. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1)(a (^y1.y1))))) 19. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^y1.y1)))) 20. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 121746/12092580. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^c.(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121747/12093192. ------ 1. ==[ start ]==> (((a b)(a b))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 121748/12093378. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121749/12093723. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 121750/12093930. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 121751/12093939. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 121752/12094038. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.x1)) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121753/12094047. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 121754/12094074. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a a))) REDUCED to normal form. ------ 121755/12094101. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 121756/12094158. ------ 1. ==[ start ]==> ((a (^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 121757/12094185. ------ 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. ------ 121758/12094212. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a a)(((^y.y) b)(^z.a))) 4. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.a))) 5. ==[ beta ]==> ((a a)(b (^y.a))) 6. ==[ alpha ]==> ((a a)(b (^x.a))) REDUCED to normal form. ------ 121759/12094221. ------ 1. ==[ start ]==> (((a a)(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 121760/12094239. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 121761/12094248. ------ 1. ==[ start ]==> (((^a.a) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (a a)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 121762/12094302. ------ 1. ==[ start ]==> (((a a) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a a) b)(^y.y)) 4. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 121763/12094320. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 121764/12094329. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x)) a)(a a)) REDUCED to normal form. ------ 121765/12094347. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(^y.(a a)))) REDUCED to normal form. ------ 121766/12094356. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 121767/12094437. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 121768/12094482. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.a)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.a)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 121769/12094518. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(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. ------ 121770/12094563. ------ 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. ------ 121771/12094572. ------ 1. ==[ start ]==> (((a a)(^b.a))((^c.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 121772/12094590. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) c)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) c)) 5. ==[ beta ]==> (((^y.y) b) c) 6. ==[ alpha ]==> (((^x.x) b) c) 7. ==[ beta ]==> (b c) REDUCED to normal form. ------ 121773/12094599. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 121774/12094626. ------ 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 z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 121775/12094734. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 121776/12094815. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a b)((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a b)((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a b)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a b)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 121777/12094842. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.a)(^y.y))) 3. ==[ beta ]==> (((a (a a)) a) a) REDUCED to normal form. ------ 121778/12094968. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^x.(^y.y))) c) REDUCED to normal form. ------ 121779/12094986. ------ 1. ==[ start ]==> (((a a)(a (a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 121780/12095013. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((b a)(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((b a)(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)((b a)(a (a a)))) REDUCED to normal form. ------ 121781/12095040. ------ 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 a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.x)))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 121782/12095067. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a a)((a a) a))) REDUCED to normal form. ------ 121783/12095094. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(a b))) 3. ==[ beta ]==> ((a (^y.y))((a b)(a b))) 4. ==[ alpha ]==> ((a (^x.x))((a b)(a b))) REDUCED to normal form. ------ 121784/12095247. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 121785/12095301. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((^c.(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((^z.(a a))(a a))) 3. ==[ beta ]==> ((a (^y.a))((^z.(a a))(a a))) 4. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a a))) 5. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 121786/12095319. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b (^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 121787/12095328. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 121788/12095355. ------ 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)))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1)))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 5. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.y1) a)) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1) a)) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121789/12095562. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^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. ------ 121790/12095616. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a a)(^z.(a a)))) 5. ==[ beta ]==> (a ((a a)(^z.(a a)))) 6. ==[ alpha ]==> (a ((a a)(^x.(a a)))) REDUCED to normal form. ------ 121791/12095652. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^c.(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(^z.z))) 5. ==[ beta ]==> (b ((^y.(a a))(^z.z))) 6. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 121792/12095679. ------ 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. ------ 121793/12095787. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 121794/12095814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.b)(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.b)(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.b)(^y1.b))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(^y1.b))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.b))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121795/12095958. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))(b ((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 121796/12095985. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(a ((a a)(a a)))) 5. ==[ beta ]==> ((a (^y.y))(a ((a a)(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(a ((a a)(a a)))) REDUCED to normal form. ------ 121797/12096012. ------ 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. ------ 121798/12096039. ------ 1. ==[ start ]==> ((a (a b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a b))((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 121799/12096048. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.(^y1.y1))) c)) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.(^y1.y1))) c)) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.(^x1.x1))) c)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121800/12096300. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b (^x1.x1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b (^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 121801/12096354. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^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. ------ 121802/12096381. ------ 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. ------ 121803/12096399. ------ 1. ==[ start ]==> (((^a.b)(a a))((b a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(a a))((b a)(^y.a))) 3. ==[ beta ]==> (b ((b a)(^y.a))) 4. ==[ alpha ]==> (b ((b a)(^x.a))) REDUCED to normal form. ------ 121804/12096426. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 121805/12096597. ------ 1. ==[ start ]==> (((^a.b) b)((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(b a))) 3. ==[ beta ]==> (b ((^y.a)(b a))) 4. ==[ alpha ]==> (b ((^x.a)(b a))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121806/12096642. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a a)(^z.z))) 3. ==[ beta ]==> ((^y.(a a))((a a)(^z.z))) 4. ==[ alpha ]==> ((^x.(a a))((a a)(^y.y))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121807/12096669. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1) b) a)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 5. ==[ beta ]==> (((^y.y) b) a) 6. ==[ alpha ]==> (((^x.x) b) a) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 121808/12096723. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((b a) c)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((b a) c)) 5. ==[ beta ]==> ((^y.y)((b a) c)) 6. ==[ alpha ]==> ((^x.x)((b a) c)) 7. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 121809/12096813. ------ 1. ==[ start ]==> (((a b) b)((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a b) b)((^x.b)(^y.a))) 3. ==[ beta ]==> (((a b) b) b) REDUCED to normal form. ------ 121810/12096867. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 121811/12096894. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 121812/12096948. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121813/12096975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.x1))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.z))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^y.y)(^z.z))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.x1))) 9. ==[ beta ]==> ((^y.y)((^z.z)(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 11. ==[ beta ]==> ((^y.y)(^z.z)) 12. ==[ alpha ]==> ((^x.x)(^y.y)) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121814/12097020. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1))) 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. ------ 121815/12097092. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> (((a a)(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 121816/12097119. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a b)(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a b))((a b)(^y.y))) REDUCED to normal form. ------ 121817/12097146. ------ 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. ------ 121818/12097173. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> (((a (a a))(^x.x))((^z.z)(a b))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((^y.y)(a b))) 7. ==[ beta ]==> (((a (a a))(^x.x))(a b)) REDUCED to normal form. ------ 121819/12097200. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a (a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((a (a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((a (a a))((a (a a))((^x.x)(a a)))) 7. ==[ beta ]==> ((a (a a))((a (a a))(a a))) REDUCED to normal form. ------ 121820/12097227. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((((a a) a) a)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 121821/12097245. ------ 1. ==[ start ]==> (((^a.b) c)(c (^d.a))) 2. ==[ alpha ]==> (((^x.b) c)(c (^y.a))) 3. ==[ beta ]==> (b (c (^y.a))) 4. ==[ alpha ]==> (b (c (^x.a))) REDUCED to normal form. ------ 121822/12097254. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 121823/12097281. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a a)(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))((a a)(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))((a a)(a (^x.(^y.y))))) REDUCED to normal form. ------ 121824/12097344. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 121825/12097479. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (b ((^y.y)(^z.b))) 6. ==[ alpha ]==> (b ((^x.x)(^y.b))) 7. ==[ beta ]==> (b (^y.b)) 8. ==[ alpha ]==> (b (^x.b)) REDUCED to normal form. ------ 121826/12097488. ------ 1. ==[ start ]==> (((a b) c)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))(a b))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 121827/12097515. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) b)(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) b)((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> (((a a) b)((a a)((^x.x)(a a)))) 9. ==[ beta ]==> (((a a) b)((a a)(a a))) REDUCED to normal form. ------ 121828/12097542. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) a) REDUCED to normal form. ------ 121829/12097587. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a a)(^x1.(^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. ------ 121830/12097596. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 121831/12097623. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.y1))) 5. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 121832/12097641. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((b a) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((b a) b)) REDUCED to normal form. ------ 121833/12097677. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(^x2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(^z1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121834/12097704. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 121835/12097731. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 121836/12097785. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 121837/12097875. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(b (b a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(b (b a))) 3. ==[ beta ]==> ((a (a b))(b (b a))) REDUCED to normal form. ------ 121838/12097902. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 121839/12097929. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((b a)(a a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((b a)(a a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((b a)(a a))) 5. ==[ beta ]==> (((^y.y)(^z.z))((b a)(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((b a)(a a))) 7. ==[ beta ]==> ((^y.y)((b a)(a a))) 8. ==[ alpha ]==> ((^x.x)((b a)(a a))) 9. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 121840/12097956. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 121841/12097983. ------ 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.z) a))) 3. ==[ beta ]==> (((a b) a)(((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (((a b) a)((a a)((^y.y) a))) 6. ==[ alpha ]==> (((a b) a)((a a)((^x.x) a))) 7. ==[ beta ]==> (((a b) a)((a a) a)) REDUCED to normal form. ------ 121842/12098010. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((a b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((a b)(a (a a)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((a b)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(a (a a)))) REDUCED to normal form. ------ 121843/12098037. ------ 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)(^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. ------ 121844/12098064. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))((a a) a))) 3. ==[ beta ]==> ((a (b a))((^y.y)((a a) a))) 4. ==[ alpha ]==> ((a (b a))((^x.x)((a a) a))) 5. ==[ beta ]==> ((a (b a))((a a) a)) REDUCED to normal form. ------ 121845/12098235. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 121846/12098298. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.b)(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b) b) REDUCED to normal form. ------ 121847/12098343. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b a)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((b a)((^y.y)(^z.a))) 6. ==[ alpha ]==> ((b a)((^x.x)(^y.a))) 7. ==[ beta ]==> ((b a)(^y.a)) 8. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 121848/12098370. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a (a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(^y.b)) 6. ==[ alpha ]==> ((a (a a))(^x.b)) REDUCED to normal form. ------ 121849/12098406. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 121850/12098424. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 121851/12098433. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 121852/12098505. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((a a)(^y.y)) b)) 3. ==[ beta ]==> (b (((a a)(^y.y)) b)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) b)) REDUCED to normal form. ------ 121853/12098514. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 121854/12098541. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(a a))(^z.a))) 5. ==[ beta ]==> (((a a)(^x.a))(a a)) REDUCED to normal form. ------ 121855/12098568. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z))) b) REDUCED to normal form. ------ 121856/12098712. ------ 1. ==[ start ]==> (((a (a a))(a b))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 121857/12098739. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(a (b a))) 3. ==[ beta ]==> (((^y.y)((a a) a))(a (b a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(a (b a))) 5. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 121858/12098766. ------ 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))) REDUCED to normal form. ------ 121859/12098793. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((^x.x)(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a b)(a (a a)))((a a)(a (^y.y)))) 4. ==[ alpha ]==> (((a b)(a (a a)))((a a)(a (^x.x)))) REDUCED to normal form. ------ 121860/12098820. ------ 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.z) a))) 3. ==[ beta ]==> (((a a)((^y.y) a))((a b)((^z.z) a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((a b)((^y.y) a))) 5. ==[ beta ]==> (((a a) a)((a b)((^y.y) a))) 6. ==[ alpha ]==> (((a a) a)((a b)((^x.x) a))) 7. ==[ beta ]==> (((a a) a)((a b) a)) REDUCED to normal form. ------ 121861/12098847. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 121862/12098901. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))((a a) a))) REDUCED to normal form. ------ 121863/12099072. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> (b ((a b)(^x1.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 121864/12099180. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1) a)(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121865/12099189. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a)(a b))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 121866/12099207. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(^x1.(a a)))) REDUCED to normal form. ------ 121867/12099216. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 121868/12099234. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 121869/12099288. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z)(a a)) b)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z)(a a)) b)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y)(a a)) b)) 7. ==[ beta ]==> (((a a)(a a))(((^y.y)(a a)) b)) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x)(a a)) b)) 9. ==[ beta ]==> (((a a)(a a))((a a) b)) REDUCED to normal form. ------ 121870/12099297. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a a)) REDUCED to normal form. ------ 121871/12099324. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.b)(^x1.a))) 5. ==[ beta ]==> ((^y.b)((^z.b)(^x1.a))) 6. ==[ alpha ]==> ((^x.b)((^y.b)(^z.a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 121872/12099378. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121873/12099432. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 121874/12099504. ------ 1. ==[ start ]==> ((a (^b.b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z)) a)) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 121875/12099522. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))((a a)(a a))) REDUCED to normal form. ------ 121876/12099549. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((a b)(a (^y.y)))) REDUCED to normal form. ------ 121877/12099576. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(((a a) a) a)) REDUCED to normal form. ------ 121878/12099603. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(a a))((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a (a a))(a a))((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a (a a))(a a))(a (a a))) REDUCED to normal form. ------ 121879/12099630. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((a (a a))((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)((a (a a))((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)((a (a a))(^y.y))) 8. ==[ alpha ]==> ((a b)((a (a a))(^x.x))) REDUCED to normal form. ------ 121880/12099657. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a ((a a) a))) REDUCED to normal form. ------ 121881/12099684. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (^z.z))(a b))) 3. ==[ beta ]==> (((a b)(^y.y))((a (^z.z))(a b))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a b))) REDUCED to normal form. ------ 121882/12099711. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a a)((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a a)(a a))) REDUCED to normal form. ------ 121883/12099783. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^x1.b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121884/12099828. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^a.a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 121885/12099855. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a (a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z1.(^x2.x2)))) 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. ------ 121886/12099990. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a b) b)) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b) b)) 3. ==[ beta ]==> (b ((a b) b)) REDUCED to normal form. ------ 121887/12100107. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 121888/12100134. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 121889/12100161. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(a a))) REDUCED to normal form. ------ 121890/12100179. ------ 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) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 121891/12100323. ------ 1. ==[ start ]==> (((a b)(^c.a))(c (^c.a))) 2. ==[ alpha ]==> (((a b)(^x.a))(c (^y.a))) REDUCED to normal form. ------ 121892/12100350. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(b (^x1.b))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(b (^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.b))) REDUCED to normal form. ------ 121893/12100377. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.(a a)))) REDUCED to normal form. ------ 121894/12100422. ------ 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. ------ 121895/12100458. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 121896/12100764. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(a (a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(a (a b))) REDUCED to normal form. ------ 121897/12100791. ------ 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. ------ 121898/12100818. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(((^x.x)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.y)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(a (^y.y)))) 5. ==[ beta ]==> ((a ((a a)(a a)))(a (^y.y))) 6. ==[ alpha ]==> ((a ((a a)(a a)))(a (^x.x))) REDUCED to normal form. ------ 121899/12100989. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^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. ------ 121900/12101097. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a a)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121901/12101133. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^c.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(^z.z))) 3. ==[ beta ]==> ((b b)((^y.a)(^z.z))) 4. ==[ alpha ]==> ((b b)((^x.a)(^y.y))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 121902/12101160. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 121903/12101214. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 121904/12101241. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(^a.a))(^b.(^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. ------ 121905/12101340. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((^x.b)(a b))((^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. ------ 121906/12101403. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 121907/12101448. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))(^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. ------ 121908/12101457. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^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. ------ 121909/12101484. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 121910/12101511. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x)) a) REDUCED to normal form. ------ 121911/12101682. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(b (a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a a))(b (a (a a)))) REDUCED to normal form. ------ 121912/12101709. ------ 1. ==[ start ]==> (((a b)(a b))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(a ((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a b)(a b))(a (^y.y))) 4. ==[ alpha ]==> (((a b)(a b))(a (^x.x))) REDUCED to normal form. ------ 121913/12101736. ------ 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. ------ 121914/12101763. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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)(^x.x))(^y.y))(a (a (^x1.x1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (a (^z.z)))) REDUCED to normal form. ------ 121915/12101817. ------ 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)(a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(a (a a)))) REDUCED to normal form. ------ 121916/12101898. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c c)) 2. ==[ alpha ]==> ((a (b (^x.x)))(c c)) REDUCED to normal form. ------ 121917/12101988. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a) b)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121918/12102069. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^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. ------ 121919/12102177. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121920/12102213. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b c)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b c)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 121921/12102240. ------ 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. ------ 121922/12102285. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z)) b)) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 121923/12102348. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (^z.z))) 3. ==[ beta ]==> ((a (^y.y))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.x))(c (^y.y))) REDUCED to normal form. ------ 121924/12102366. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 121925/12102375. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 121926/12102447. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 121927/12102456. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.y))) REDUCED to normal form. ------ 121928/12102483. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 121929/12102555. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121930/12102564. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 121931/12102591. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(a a))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(a a))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(a a))) 5. ==[ beta ]==> ((b (^x.a))(a a)) REDUCED to normal form. ------ 121932/12102618. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 121933/12105825. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^z.(^x1.x1))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.y))(^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. ------ 121934/12108021. ------ 1. ==[ start ]==> ((^a.(^b.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121935/12111243. ------ 1. ==[ start ]==> ((^a.b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 121936/12111513. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.a)((^x1.x1) b))) 3. ==[ eta ]==> ((^y.y)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 121937/12111561. ------ 1. ==[ start ]==> (((a (^a.a)) b)(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 121938/12111783. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((^y.b)(^z.(a a)))(((^y.b)(^z.(a a)))((^y.b)(^z.(a a))))) 4. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.b)(^x1.(a a)))((^y1.b)(^z1.(a a))))) 5. ==[ beta ]==> (b (((^z.b)(^x1.(a a)))((^y1.b)(^z1.(a a))))) 6. ==[ alpha ]==> (b (((^x.b)(^y.(a a)))((^z.b)(^x1.(a a))))) 7. ==[ beta ]==> (b (b ((^z.b)(^x1.(a a))))) 8. ==[ alpha ]==> (b (b ((^x.b)(^y.(a a))))) 9. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 121939/12112008. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 121940/12112566. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.(^z.z))((a a)(^x1.x1)))((^y.(^z.z))((a a)(^x1.x1))))((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1))))((^x2.(^y2.y2))((a a)(^z2.z2)))) 5. ==[ beta ]==> (((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1))))((^x2.(^y2.y2))((a a)(^z2.z2)))) 6. ==[ alpha ]==> (((^x.x)((^y.(^z.z))((a a)(^x1.x1))))((^y1.(^z1.z1))((a a)(^x2.x2)))) 7. ==[ beta ]==> (((^y.(^z.z))((a a)(^x1.x1)))((^y1.(^z1.z1))((a a)(^x2.x2)))) 8. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(^z1.z1)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(^x1.x1)))) 11. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.x1))) 12. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.z))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121941/12113028. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(a a)))) REDUCED to normal form. ------ 121942/12113673. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))(a (^y1.(^z1.z1))))((^z.(^x1.x1))(a (^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((^y.(^z.z))(a (^x1.(^y1.y1))))((^z1.(^x2.x2))(a (^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 7. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121943/12114348. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(a (^z.z))) 3. ==[ beta ]==> (((a (^z.z))(a (^z.z)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.z)) REDUCED to normal form. ------ 121944/12114351. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(^a.(^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 121945/12114639. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.(^x1.(^y1.(^z1.z1))))) REDUCED to normal form. ------ 121946/12114945. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 121947/12116034. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(^c.((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)))) REDUCED to normal form. ------ 121948/12116544. ------ 1. ==[ start ]==> ((^a.(^b.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121949/12116547. ------ 1. ==[ start ]==> ((a (^b.b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 121950/12116859. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 121951/12117222. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> ((^y.y)(^y1.((^z1.z1)(y1 y1)))) 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. ------ 121952/12117618. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.(a y))) 3. ==[ eta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 121953/12117807. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(^b.(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.(^y1.x1))) REDUCED to normal form. ------ 121954/12118617. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^y.(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.z))) REDUCED to normal form. ------ 121955/12118752. ------ 1. ==[ start ]==> (((a b)(a b))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 121956/12118887. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 121957/12118938. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 121958/12119112. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(z (z z)))) 3. ==[ beta ]==> (b (^z.(z (z z)))) 4. ==[ alpha ]==> (b (^x.(x (x x)))) REDUCED to normal form. ------ 121959/12119283. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.a))) REDUCED to normal form. ------ 121960/12119499. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 121961/12119607. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 121962/12119634. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.x1))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 121963/12119736. ------ 1. ==[ start ]==> (((^a.a) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) a)((b (^y.y))(^z.z))) 3. ==[ beta ]==> (a ((b (^y.y))(^z.z))) 4. ==[ alpha ]==> (a ((b (^x.x))(^y.y))) REDUCED to normal form. ------ 121964/12119763. ------ 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. ------ 121965/12119772. ------ 1. ==[ start ]==> ((a b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 121966/12119790. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x))(b (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.a))) REDUCED to normal form. ------ 121967/12119817. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 121968/12119826. ------ 1. ==[ start ]==> (((a a)(a a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 121969/12119844. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 121970/12119871. ------ 1. ==[ start ]==> (((a a) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 121971/12119898. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x)) a)((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a a)(^y.b))) REDUCED to normal form. ------ 121972/12119925. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(^z.(a a)))) REDUCED to normal form. ------ 121973/12119988. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.y)) REDUCED to normal form. ------ 121974/12120006. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 121975/12120015. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 121976/12120042. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 121977/12120114. ------ 1. ==[ start ]==> ((((^a.a) a) a)((b (^a.a)) 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. ------ 121978/12120141. ------ 1. ==[ start ]==> (((a a)(^b.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)(^x.a))(((a a)(a a)) b)) REDUCED to normal form. ------ 121979/12120168. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) b) c)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b c)) REDUCED to normal form. ------ 121980/12120285. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 121981/12120312. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.(a a)))) 3. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 121982/12120456. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))(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. ------ 121983/12120510. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a a)(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 121984/12120537. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (a (^z.z)))) REDUCED to normal form. ------ 121985/12120672. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 121986/12120699. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 121987/12120753. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 121988/12120807. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 121989/12120834. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 5. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 121990/12120870. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((a (^y.a))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 121991/12120897. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 121992/12120924. ------ 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)))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.a))) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.a))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.a)) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.a)) REDUCED to normal form. ------ 121993/12121014. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 121994/12121041. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.b)(a b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.b)(a b))) 3. ==[ beta ]==> (((a (a a))(a (^x.x))) b) REDUCED to normal form. ------ 121995/12121095. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))(^y.y)) 4. ==[ alpha ]==> ((a ((a a) a))(^x.x)) REDUCED to normal form. ------ 121996/12121221. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((a a)(a a)) a)) 3. ==[ beta ]==> (((^y.y) b)(((a a)(a a)) a)) 4. ==[ alpha ]==> (((^x.x) b)(((a a)(a a)) a)) 5. ==[ beta ]==> (b (((a a)(a a)) a)) REDUCED to normal form. ------ 121997/12121248. ------ 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. ------ 121998/12121446. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 121999/12121500. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.a)(^z.(^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. ------ 122000/12121527. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) 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. ------ 122001/12121599. ------ 1. ==[ start ]==> (((^a.b) a)((^b.b) b)) 2. ==[ alpha ]==> (((^x.b) a)((^y.y) b)) 3. ==[ beta ]==> (b ((^y.y) b)) 4. ==[ alpha ]==> (b ((^x.x) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122002/12121617. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.b)((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.b)((a (^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122003/12121698. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) IRREDUCIBLE: cycle. ------ 122004/12121779. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b (((^z.z)(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (b ((^y.y)(a a))) 8. ==[ alpha ]==> (b ((^x.x)(a a))) 9. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122005/12121806. ------ 1. ==[ start ]==> (((^a.a)(a b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))((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. ------ 122006/12121833. ------ 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. ------ 122007/12121887. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)((^y.y) b))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)((^x.x) b))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((a a) b)) REDUCED to normal form. ------ 122008/12121923. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) b)(^x1.x1))) 5. ==[ beta ]==> ((^y.a)(((^z.z) b)(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) b)(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122009/12121950. ------ 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. ------ 122010/12121977. ------ 1. ==[ start ]==> (((a b)(^a.a))((b a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 122011/12122013. ------ 1. ==[ start ]==> (((a a)(a b))((^c.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)(a b))(^y.y)) 4. ==[ alpha ]==> (((a a)(a b))(^x.x)) REDUCED to normal form. ------ 122012/12122040. ------ 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. ------ 122013/12122067. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.b)((a a) a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.b)((a a) a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.b)((a a) a))) 5. ==[ beta ]==> ((a (^y.y))((^z.b)((a a) a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.b)((a a) a))) 7. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 122014/12122121. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (a ((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 122015/12122148. ------ 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))((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a (^x.x)))(((a a)(^z.z))((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a (^x.x)))(((a a)(^y.y))((a a)(^z.z)))) REDUCED to normal form. ------ 122016/12122175. ------ 1. ==[ start ]==> (((a b)(a a))((^b.a)(b a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(b a))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 122017/12122202. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(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. ------ 122018/12122571. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.b) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y) a)) 3. ==[ beta ]==> ((((a a) a)(^x.a)) a) REDUCED to normal form. ------ 122019/12122589. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 122020/12122598. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 122021/12122823. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(c (^d.a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 122022/12122850. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(b (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a a))(b (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a a))(b (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 122023/12122877. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(a (^b.b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(a (^y.y))) REDUCED to normal form. ------ 122024/12123057. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(^y.y))(^z.b))) 3. ==[ beta ]==> (((a b) c)((^y.y)(^z.b))) 4. ==[ alpha ]==> (((a b) c)((^x.x)(^y.b))) 5. ==[ beta ]==> (((a b) c)(^y.b)) 6. ==[ alpha ]==> (((a b) c)(^x.b)) REDUCED to normal form. ------ 122025/12123084. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a (a a))(^y.(a a)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 122026/12123165. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 122027/12123192. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> ((a (^y.b))((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> ((a (^x.b))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 122028/12123246. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1)) c)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((a a)(^y1.y1)) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1)) c)) 5. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1)) c)) 6. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z)) c)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122029/12123390. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))((^z.(a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(^z.(a a)))) 5. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 122030/12123417. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) a) REDUCED to normal form. ------ 122031/12123471. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 122032/12123723. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 122033/12123867. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a b)(^y.(y y)))) REDUCED to normal form. ------ 122034/12123975. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> ((a (^x.(a a)))(a (^z.(a a)))) 6. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 122035/12124002. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 122036/12124056. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((b a) a)) REDUCED to normal form. ------ 122037/12124083. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 122038/12124110. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z)(a a)) c)) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z)(a a)) c)) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y)(a a)) c)) 5. ==[ beta ]==> (((a a)(^x.a))((a a) c)) REDUCED to normal form. ------ 122039/12124200. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 122040/12124227. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))((^x1.b)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 122041/12124254. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.a)(^y.(a a)))) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 122042/12124281. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 122043/12124479. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a (a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a (a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (a a))((a a) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122044/12124560. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a a)((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a a)((a a)((a a)(^z.z)))) 6. ==[ alpha ]==> ((a a)((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 122045/12124758. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) a)(^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. ------ 122046/12124785. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a (^x1.x1))(^y1.(a a)))) REDUCED to normal form. ------ 122047/12124866. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y)(a a)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a) b)) REDUCED to normal form. ------ 122048/12124893. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a b) c)) 3. ==[ beta ]==> (((^y.y)(^z.b))((a b) c)) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a b) c)) 5. ==[ beta ]==> ((^y.b)((a b) c)) 6. ==[ alpha ]==> ((^x.b)((a b) c)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122049/12125046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122050/12125073. ------ 1. ==[ start ]==> ((a (^b.b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 122051/12125253. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(c (^a.b))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(c (^z.b))) 3. ==[ beta ]==> (((a b)(^y.y))(c (^z.b))) 4. ==[ alpha ]==> (((a b)(^x.x))(c (^y.b))) REDUCED to normal form. ------ 122052/12125280. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(b (^y.(a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (^y.(a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (^x.(a a)))) REDUCED to normal form. ------ 122053/12125352. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122054/12125361. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a)) b) REDUCED to normal form. ------ 122055/12125388. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.a)((^z.z) a))) 3. ==[ beta ]==> ((a b)((^y.a)((^z.z) a))) 4. ==[ alpha ]==> ((a b)((^x.a)((^y.y) a))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 122056/12125721. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))(b (a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))(b (a b))) 3. ==[ beta ]==> (((^y.y) b)(b (a b))) 4. ==[ alpha ]==> (((^x.x) b)(b (a b))) 5. ==[ beta ]==> (b (b (a b))) REDUCED to normal form. ------ 122057/12125748. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(a ((^y1.y1)(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. ------ 122058/12125757. ------ 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)) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 122059/12125802. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(((a a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(((a a) a)(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(((a a) a)(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a) a)(a (^z.z)))) REDUCED to normal form. ------ 122060/12125883. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a ((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (a ((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (a (^y.y))) 8. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 122061/12126000. ------ 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. ------ 122062/12126027. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((b (^x.x))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((b (^x.x))((^y.y)(^z.a))) 7. ==[ beta ]==> ((b (^x.x))(^z.a)) 8. ==[ alpha ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 122063/12126063. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(x x))(a (a a)))) 5. ==[ beta ]==> (((a a) b)((a (a a))(a (a a)))) REDUCED to normal form. ------ 122064/12126090. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) a) REDUCED to normal form. ------ 122065/12126117. ------ 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. ------ 122066/12126144. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^a.a)(a b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(a b))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 122067/12126171. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.b)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.b)(^y.y))) 9. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 122068/12126198. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 122069/12126225. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 122070/12126252. ------ 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.(y1 y1)))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(z z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.(z z))(^z.(z z)))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 122071/12126279. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 122072/12126333. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))(^y1.b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(^x1.b)) REDUCED to normal form. ------ 122073/12126423. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((a (a a))((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y) a))) 5. ==[ beta ]==> ((a (a a))((^y.y) a)) 6. ==[ alpha ]==> ((a (a a))((^x.x) a)) 7. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 122074/12126702. ------ 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. ------ 122075/12126729. ------ 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)((^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. ------ 122076/12126828. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((b a)(b a))(b ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((b a)(b a))(b ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((b a)(b a))(b (^y.y))) 6. ==[ alpha ]==> (((b a)(b a))(b (^x.x))) REDUCED to normal form. ------ 122077/12126891. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.(^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. ------ 122078/12126909. ------ 1. ==[ start ]==> (((^a.b)(a b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a 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. ------ 122079/12126918. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.(y y)) c)) 3. ==[ beta ]==> (((a b)(^x.b))(c c)) REDUCED to normal form. ------ 122080/12127026. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((^y1.y1)(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.x1)(^y1.y1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 122081/12127053. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 122082/12127080. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y) a)(^z.a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(a (^z.a))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(a (^y.a))) REDUCED to normal form. ------ 122083/12127116. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 122084/12127143. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.z)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.z)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 122085/12127170. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 122086/12127197. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.(^z.z))(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 122087/12127224. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 122088/12127251. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 122089/12127278. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)(^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. ------ 122090/12127386. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(b (^z.(z z)))) REDUCED to normal form. ------ 122091/12127413. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 122092/12127440. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 122093/12127467. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 122094/12127638. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(a (a (a a)))) 3. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 122095/12127782. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b c)((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 122096/12127809. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)(^x.a))) REDUCED to normal form. ------ 122097/12127854. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c (a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c (a a))) 3. ==[ beta ]==> ((b (^y.y))(c (a a))) 4. ==[ alpha ]==> ((b (^x.x))(c (a a))) REDUCED to normal form. ------ 122098/12127881. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> ((^y.y)(b (a (^z.z)))) 4. ==[ alpha ]==> ((^x.x)(b (a (^y.y)))) 5. ==[ beta ]==> (b (a (^y.y))) 6. ==[ alpha ]==> (b (a (^x.x))) REDUCED to normal form. ------ 122099/12127917. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a) a)) 3. ==[ beta ]==> ((a (^y.y))((^z.a) a)) 4. ==[ alpha ]==> ((a (^x.x))((^y.a) a)) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 122100/12127935. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1))(a a))) REDUCED to normal form. ------ 122101/12127944. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 122102/12128016. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b b)) 3. ==[ beta ]==> (b (b b)) REDUCED to normal form. ------ 122103/12128025. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 122104/12128052. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y)) a)) REDUCED to normal form. ------ 122105/12128124. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122106/12128133. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z))) b) REDUCED to normal form. ------ 122107/12128160. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(^z.z))) 3. ==[ beta ]==> ((b (^y.a))((a a)(^z.z))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 122108/12128187. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a) a)) REDUCED to normal form. ------ 122109/12133599. ------ 1. ==[ start ]==> ((^a.(^b.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122110/12136803. ------ 1. ==[ start ]==> ((^a.(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x x))((b (^y.y))(^z.z))) 3. ==[ beta ]==> (((b (^y.y))(^z.z))((b (^y.y))(^z.z))) 4. ==[ alpha ]==> (((b (^x.x))(^y.y))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 122111/12136830. ------ 1. ==[ start ]==> ((^a.b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.b)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 122112/12136866. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122113/12136911. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((b a)(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> (((b a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122114/12137028. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (^y.((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 122115/12137100. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z) a)(^x1.x1))) 3. ==[ eta ]==> ((^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. ------ 122116/12137271. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 122117/12137553. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(b (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 122118/12138486. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 122119/12138666. ------ 1. ==[ start ]==> ((^a.(a b))((^b.b) b)) 2. ==[ alpha ]==> ((^x.(x b))((^y.y) b)) 3. ==[ beta ]==> (((^y.y) b) b) 4. ==[ alpha ]==> (((^x.x) b) b) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122120/12139260. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(((a (^z.z))(^x1.(^y1.(^z1.z1))))((a (^z.z))(^x1.(^y1.(^z1.z1)))))) 4. ==[ alpha ]==> ((^x.x)(((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(^y2.(^z2.z2)))))) 5. ==[ beta ]==> (((a (^y.y))(^z.(^x1.(^y1.y1))))((a (^z1.z1))(^x2.(^y2.(^z2.z2))))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) REDUCED to normal form. ------ 122121/12139299. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(^y.y))(^z.b))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.x1)) 5. ==[ beta ]==> ((^y.y)(^x1.x1)) 6. ==[ alpha ]==> ((^x.x)(^y.y)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122122/12139632. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.((^z.z) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^y.b)) REDUCED to normal form. ------ 122123/12142131. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122124/12142134. ------ 1. ==[ start ]==> ((a (^b.b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 122125/12142446. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122126/12142809. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(^y1.(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.(^z1.(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. ------ 122127/12142818. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.((^z1.z1)(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(y1 y1))) REDUCED to normal form. ------ 122128/12144204. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^c.(^b.(^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. ------ 122129/12144525. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122130/12144699. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 122131/12144807. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122132/12144978. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x) a)(^y.y))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.z)) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 122133/12145113. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.c)) REDUCED to normal form. ------ 122134/12145248. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 122135/12145341. ------ 1. ==[ start ]==> ((a (a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 122136/12145368. ------ 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. ------ 122137/12145404. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 122138/12145422. ------ 1. ==[ start ]==> (((a a)(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a a))((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 122139/12145449. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 122140/12145512. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> ((a (^y.y))((^z.(a a))(a b))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(a a))(a b))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 122141/12145539. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122142/12145566. ------ 1. ==[ start ]==> ((a (^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a (^x.a)) a) REDUCED to normal form. ------ 122143/12145611. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 122144/12145638. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 122145/12145647. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.a)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((^z.z) b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 122146/12145674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122147/12145809. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 122148/12145917. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.(y y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.b)(^z.(a a)))) 5. ==[ beta ]==> (((^y.b)(^z.(a a)))((^y.b)(^z.(a a)))) 6. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.b)(^x1.(a a)))) 7. ==[ beta ]==> (b ((^z.b)(^x1.(a a)))) 8. ==[ alpha ]==> (b ((^x.b)(^y.(a a)))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122149/12145944. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122150/12145998. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 10. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122151/12146025. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.a)(^z.z))) 3. ==[ beta ]==> ((a (a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(^y.y))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 122152/12146061. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(b ((a a)(a a)))) REDUCED to normal form. ------ 122153/12146088. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(a (b (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 122154/12146115. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(a a))(a a))) REDUCED to normal form. ------ 122155/12146151. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.b) c)) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.x) c)) 3. ==[ beta ]==> (((a a)(a (a a))) c) REDUCED to normal form. ------ 122156/12146223. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b b)(((a a)(^y.y))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b b)(((a a)(^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b b)(((a a)(^x.x))(^z.z))) 6. ==[ alpha ]==> ((b b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 122157/12146358. ------ 1. ==[ start ]==> (((a (a a)) b)((a (a a))(b a))) REDUCED to normal form. ------ 122158/12146385. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a (((^y.y) a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a (((^x.x) a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a (a (a (^y.(^z.z))))) 8. ==[ alpha ]==> (a (a (a (^x.(^y.y))))) REDUCED to normal form. ------ 122159/12146412. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 122160/12146430. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 122161/12146439. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 122162/12146556. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(^y.(y y)))) REDUCED to normal form. ------ 122163/12146583. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 122164/12146637. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a b)(^y.b))) REDUCED to normal form. ------ 122165/12146664. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a) a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a) a)(^y.(a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(^y.(a a)))) 6. ==[ alpha ]==> ((a a)(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 122166/12146727. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 122167/12146781. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((^y1.y1) b))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((^y1.y1) b))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 122168/12146862. ------ 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. ------ 122169/12146889. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.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. ------ 122170/12147024. ------ 1. ==[ start ]==> ((a (^a.b))((^c.a)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.a)(^z.(a a)))) 3. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 122171/12147195. ------ 1. ==[ start ]==> (((^a.b) a)(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.b) a)(((^y.y) b)(a a))) 3. ==[ beta ]==> (b (((^y.y) b)(a a))) 4. ==[ alpha ]==> (b (((^x.x) b)(a a))) 5. ==[ beta ]==> (b (b (a a))) REDUCED to normal form. ------ 122172/12147204. ------ 1. ==[ start ]==> ((a (a b))((^b.b) b)) 2. ==[ alpha ]==> ((a (a b))((^x.x) b)) 3. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 122173/12147357. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a) a)(a b))) REDUCED to normal form. ------ 122174/12147384. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b) a)((^y.y)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b) a)((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b) a)((^y.y)(a a))) 6. ==[ alpha ]==> (((a b) a)((^x.x)(a a))) 7. ==[ beta ]==> (((a b) a)(a a)) REDUCED to normal form. ------ 122175/12147411. ------ 1. ==[ start ]==> (((a a)(^a.b))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 122176/12147465. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 122177/12147483. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(b (^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(b (^y.y))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(b (^y.y))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(b (^x.x))) REDUCED to normal form. ------ 122178/12147492. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 122179/12147564. ------ 1. ==[ start ]==> (((^a.b)(a a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(a (^x1.x1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 122180/12147609. ------ 1. ==[ start ]==> (((a a)(a b))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 122181/12147636. ------ 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. ------ 122182/12147663. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a b)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a b)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((a b)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((a b)(^y.a))) REDUCED to normal form. ------ 122183/12147690. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a) a)(^x.b))) REDUCED to normal form. ------ 122184/12147717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (a (((^y.y)(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(a a)))) 9. ==[ beta ]==> (a ((^y.y)(^z.(a a)))) 10. ==[ alpha ]==> (a ((^x.x)(^y.(a a)))) 11. ==[ beta ]==> (a (^y.(a a))) 12. ==[ alpha ]==> (a (^x.(a a))) REDUCED to normal form. ------ 122185/12147798. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((a (^y.y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (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. ------ 122186/12147807. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122187/12147834. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 5. ==[ beta ]==> ((^y.y)((^z.z) b)) 6. ==[ alpha ]==> ((^x.x)((^y.y) b)) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 122188/12147888. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.(^x2.x2)))(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(^z1.z1))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.y1))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122189/12147969. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122190/12148050. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122191/12148113. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(c (b a))) REDUCED to normal form. ------ 122192/12148140. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))(b (a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))(b (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))(b (a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(b (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((^x.(x x))(b (a (^y.(^z.z))))) 7. ==[ beta ]==> ((b (a (^y.(^z.z))))(b (a (^y.(^z.z))))) 8. ==[ alpha ]==> ((b (a (^x.(^y.y))))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 122193/12148167. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(a ((^y.y) b))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(a b)) REDUCED to normal form. ------ 122194/12148194. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a (^z.(^x1.x1)))(a a))) REDUCED to normal form. ------ 122195/12148221. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 122196/12148410. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (b (((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (b (((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (b (a ((a a)(^y.y)))) 6. ==[ alpha ]==> (b (a ((a a)(^x.x)))) REDUCED to normal form. ------ 122197/12148509. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((^a.(^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.(^z1.z1)))(a a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a a))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a a)) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a a)) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122198/12148644. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.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. ------ 122199/12148725. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 122200/12148752. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122201/12148806. ------ 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)))(^y1.y1))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.(^x1.x1)))(^y1.y1))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.(^z.z)))(^x1.x1))) 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. ------ 122202/12148887. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(y y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122203/12149094. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.(^x2.x2))) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1))) a)) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.(^z1.z1))) a)) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.(^y1.y1))) a)) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1))) a)) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1))) a)) 9. ==[ beta ]==> ((^y.(^z.(^x1.x1))) a) 10. ==[ alpha ]==> ((^x.(^y.(^z.z))) a) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122204/12149148. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.z)) c)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.z)) c)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.y)) c)) 5. ==[ beta ]==> (((a b) a)(^y.y)) 6. ==[ alpha ]==> (((a b) a)(^x.x)) REDUCED to normal form. ------ 122205/12149319. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(^x1.x1)))) 5. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 122206/12149508. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 122207/12149535. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))((a 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. ------ 122208/12149589. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 122209/12149958. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^c.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y)) b)) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 122210/12149985. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.(a a)) c)) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.(a a)) c)) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(a a)) c)) 5. ==[ beta ]==> (((a a) a)((^y.(a a)) c)) 6. ==[ alpha ]==> (((a a) a)((^x.(a a)) c)) 7. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 122211/12150057. ------ 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))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122212/12150156. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(b (^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 122213/12150237. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(a a))(a (^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122214/12150345. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(y1 y1))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((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. ------ 122215/12150372. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(a b))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 122216/12150399. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122217/12150534. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (b ((^x1.a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122218/12150642. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122219/12150651. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(b ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(b (a a))) REDUCED to normal form. ------ 122220/12150669. ------ 1. ==[ start ]==> ((a (^b.b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 122221/12150714. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (^x.x))(b a))(a a)) REDUCED to normal form. ------ 122222/12150741. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.b) c)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.b) c)) 5. ==[ beta ]==> ((a ((a a)(^x.x))) b) REDUCED to normal form. ------ 122223/12150957. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a b)(^z.(^x1.x1)))) REDUCED to normal form. ------ 122224/12150984. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((a a) a)(^y.a))) 3. ==[ beta ]==> ((a b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> ((a b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 122225/12150993. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^c.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) a))) 5. ==[ beta ]==> ((^y.a)((^z.z) a)) 6. ==[ alpha ]==> ((^x.a)((^y.y) a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122226/12151020. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(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. ------ 122227/12151155. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (b ((^z.(a a))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.y))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122228/12151263. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.(z1 z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(z1 z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122229/12151299. ------ 1. ==[ start ]==> ((((^a.a) b) a)(c ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b) a)(c ((a a) a))) 3. ==[ beta ]==> ((b a)(c ((a a) a))) REDUCED to normal form. ------ 122230/12151317. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122231/12151326. ------ 1. ==[ start ]==> (((a a)(^b.b))(b (a b))) 2. ==[ alpha ]==> (((a a)(^x.x))(b (a b))) REDUCED to normal form. ------ 122232/12151344. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(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. ------ 122233/12151353. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a ((^y1.y1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(a (a a))) REDUCED to normal form. ------ 122234/12151434. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122235/12151461. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a (a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 122236/12151488. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.a))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.a))(a (^z.z))) 6. ==[ alpha ]==> (((a b)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 122237/12151515. ------ 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. ------ 122238/12151542. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))((a a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((a a)(a b))) REDUCED to normal form. ------ 122239/12151587. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122240/12151659. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> (((a a) b)((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> (((a a) b)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 122241/12151686. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(^y1.y1)))) REDUCED to normal form. ------ 122242/12151713. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (^y.y))(^z.a))) 3. ==[ beta ]==> ((a (b a))((a (^y.y))(^z.a))) 4. ==[ alpha ]==> ((a (b a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 122243/12151740. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((a a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 122244/12151767. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a b) a)) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a b) a)) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a b) a)) 5. ==[ beta ]==> (((^y.y)(a a))((a b) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a b) a)) 7. ==[ beta ]==> ((a a)((a b) a)) REDUCED to normal form. ------ 122245/12151794. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((a a) a) b)) REDUCED to normal form. ------ 122246/12151821. ------ 1. ==[ start ]==> (((a b)((a a) a))(((^a.a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)((a a) a))(((^x.x)(^y.y)) c)) 3. ==[ beta ]==> (((a b)((a a) a))((^y.y) c)) 4. ==[ alpha ]==> (((a b)((a a) a))((^x.x) c)) 5. ==[ beta ]==> (((a b)((a a) a)) c) REDUCED to normal form. ------ 122247/12151956. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.b) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.b) a)) 3. ==[ beta ]==> ((b (a a))((^y.b) a)) 4. ==[ alpha ]==> ((b (a a))((^x.b) a)) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 122248/12152154. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((^c.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))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122249/12152262. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122250/12152343. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 122251/12152370. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(x1 x1))(^y1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.a))) 5. ==[ beta ]==> ((^y.(y y))(^z.a)) 6. ==[ alpha ]==> ((^x.(x x))(^y.a)) 7. ==[ beta ]==> ((^y.a)(^y.a)) 8. ==[ alpha ]==> ((^x.a)(^y.a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 122252/12152424. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(^a.a))(^b.(^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. ------ 122253/12152487. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.z)(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.y)(a a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 122254/12152514. ------ 1. ==[ start ]==> (((a b)(^a.b))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((a (a a))(a (^y.y)))) REDUCED to normal form. ------ 122255/12152568. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 122256/12152712. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 122257/12152739. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a 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. ------ 122258/12152766. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z) a)) 7. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 122259/12152793. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (a a)) b)) REDUCED to normal form. ------ 122260/12152901. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z)) a)) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y)) a)) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 122261/12152928. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(z z)) b)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(b b)) REDUCED to normal form. ------ 122262/12153036. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((a (a a))(^x.x))) REDUCED to normal form. ------ 122263/12153063. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 122264/12153153. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(^y2.y2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(^y2.y2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122265/12153234. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^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. ------ 122266/12153342. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122267/12153378. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c b)) 2. ==[ alpha ]==> ((((^x.x) b) c)(c b)) 3. ==[ beta ]==> ((b c)(c b)) REDUCED to normal form. ------ 122268/12153405. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b c)) REDUCED to normal form. ------ 122269/12153450. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 122270/12153477. ------ 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.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122271/12153513. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(a ((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(a ((^z.z) a))) 3. ==[ beta ]==> ((a (^y.y))(a ((^z.z) a))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) a))) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 122272/12153540. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a))(a a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1))(a a))) REDUCED to normal form. ------ 122273/12153612. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122274/12153621. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b b)) REDUCED to normal form. ------ 122275/12153648. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a c)) 3. ==[ beta ]==> (((a a)(^y.b))(a c)) 4. ==[ alpha ]==> (((a a)(^x.b))(a c)) REDUCED to normal form. ------ 122276/12153720. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (^x1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^x1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122277/12153729. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(a a))) REDUCED to normal form. ------ 122278/12153756. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b a)) 3. ==[ beta ]==> ((b (^y.a))(b a)) 4. ==[ alpha ]==> ((b (^x.a))(b a)) REDUCED to normal form. ------ 122279/12153783. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 122280/12153845. ------ 1. ==[ start ]==> (^a.((a a)(b (^a.a)))) 2. ==[ alpha ]==> (^x.((x x)(b (^y.y)))) REDUCED to normal form. ------ 122281/12153846. ------ 1. ==[ start ]==> (a ((a a)(b (^a.a)))) 2. ==[ alpha ]==> (a ((a a)(b (^x.x)))) REDUCED to normal form. ------ 122282/12162384. ------ 1. ==[ start ]==> (((a a)(b (^a.a))) a) 2. ==[ alpha ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 122283/12162390. ------ 1. ==[ start ]==> ((^a.a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a a)(b (^y.y))) 4. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 122284/12162480. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122285/12162642. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 122286/12162789. ------ 1. ==[ start ]==> ((((^a.a) a) a)(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)(^y.(y (^z.z)))) 3. ==[ beta ]==> ((a a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> ((a a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 122287/12163209. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) b)) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122288/12163335. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122289/12163896. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.((a a)(a a)))) 5. ==[ beta ]==> (b (^y.((a a)(a a)))) 6. ==[ alpha ]==> (b (^x.((a a)(a a)))) REDUCED to normal form. ------ 122290/12164256. ------ 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. ------ 122291/12164280. ------ 1. ==[ start ]==> ((^a.(a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((^x.(x b))(((^y.y) b)(a a))) 3. ==[ beta ]==> ((((^y.y) b)(a a)) b) 4. ==[ alpha ]==> ((((^x.x) b)(a a)) b) 5. ==[ beta ]==> ((b (a a)) b) REDUCED to normal form. ------ 122292/12164598. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.(^y1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.(^y1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.(^x1.(z z)))) 5. ==[ beta ]==> ((^y.a)(^z.(^x1.(z z)))) 6. ==[ alpha ]==> ((^x.a)(^y.(^z.(y y)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122293/12164667. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((b a)(^z.a))) 3. ==[ beta ]==> (^y.(((b a)(^z.a))((b a)(^z.a)))) 4. ==[ alpha ]==> (^x.(((b a)(^y.a))((b a)(^z.a)))) REDUCED to normal form. ------ 122294/12164913. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122295/12165246. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 122296/12165549. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a)(a (^z.(^x1.x1))))((a a)(a (^z.(^x1.x1)))))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a (^x.(^y.y))))((a a)(a (^z.(^x1.x1)))))(^y1.y1)) REDUCED to normal form. ------ 122297/12165867. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 122298/12166173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(y1 (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(x1 (^y1.(^z1.z1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 (^y1.(^z1.z1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.y)(^z.(z (^x1.(^y1.y1))))) 8. ==[ alpha ]==> ((^x.x)(^y.(y (^z.(^x1.x1))))) 9. ==[ beta ]==> (^y.(y (^z.(^x1.x1)))) 10. ==[ alpha ]==> (^x.(x (^y.(^z.z)))) REDUCED to normal form. ------ 122299/12166305. ------ 1. ==[ start ]==> ((^a.(b a))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a) a)((^y.y)(^z.z)))) 3. ==[ eta ]==> (b (((a a) a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b (((a a) a)(^y.y))) 6. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 122300/12166731. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(z a))) REDUCED to normal form. ------ 122301/12167010. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((a a) a)((^x.x)(^y.y))) b) 4. ==[ beta ]==> ((((a a) a)(^y.y)) b) 5. ==[ alpha ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 122302/12167142. ------ 1. ==[ start ]==> ((^a.(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)(^x2.x2)))) 3. ==[ beta ]==> ((((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.y1))) 7. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 11. ==[ beta ]==> (^y.(^z.z)) 12. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122303/12167766. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.((z z)(^x1.x1)))) REDUCED to normal form. ------ 122304/12168432. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(a a)))) REDUCED to normal form. ------ 122305/12169035. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^a.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(y b))) 3. ==[ beta ]==> ((b (a a))(^y.(y b))) 4. ==[ alpha ]==> ((b (a a))(^x.(x b))) REDUCED to normal form. ------ 122306/12169059. ------ 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. ------ 122307/12169377. ------ 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))) REDUCED to normal form. ------ 122308/12169701. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.x1))) REDUCED to normal form. ------ 122309/12169980. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^x.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 122310/12170088. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 122311/12170313. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.d)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.d)) 3. ==[ beta ]==> (b (^z.d)) 4. ==[ alpha ]==> (b (^x.d)) REDUCED to normal form. ------ 122312/12170592. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 122313/12170727. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 122314/12170835. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 122315/12170862. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 122316/12170925. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 122317/12170937. ------ 1. ==[ start ]==> ((a a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 122318/12170973. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 122319/12171000. ------ 1. ==[ start ]==> (((^a.a)(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> ((a a)(((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 122320/12171027. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 122321/12171036. ------ 1. ==[ start ]==> (((^a.a) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x) b)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 5. ==[ beta ]==> (b ((^y.y) a)) 6. ==[ alpha ]==> (b ((^x.x) a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122322/12171063. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122323/12171081. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122324/12171135. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> ((a (^x.x))((a a)(^z.b))) 6. ==[ alpha ]==> ((a (^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 122325/12171144. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 122326/12171162. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 122327/12171171. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 122328/12171189. ------ 1. ==[ start ]==> ((a (^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 122329/12171225. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122330/12171270. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 122331/12171306. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 122332/12171333. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> ((a a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 122333/12171351. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((b (^z.z)) a)) 3. ==[ beta ]==> (((^y.y) a)((b (^z.z)) a)) 4. ==[ alpha ]==> (((^x.x) a)((b (^y.y)) a)) 5. ==[ beta ]==> (a ((b (^y.y)) a)) 6. ==[ alpha ]==> (a ((b (^x.x)) a)) REDUCED to normal form. ------ 122334/12171378. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((a a)(a a)) b)) 3. ==[ beta ]==> ((^y.y)(((a a)(a a)) b)) 4. ==[ alpha ]==> ((^x.x)(((a a)(a a)) b)) 5. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 122335/12171414. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 122336/12171522. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 122337/12171630. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(x x))(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a (a a)) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a (a a)) a)(^x.(^y.y))) REDUCED to normal form. ------ 122338/12171657. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.(x x))) a) REDUCED to normal form. ------ 122339/12171684. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 122340/12171756. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^c.(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 122341/12171774. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a (a a)))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(b (a (^x.x)))) REDUCED to normal form. ------ 122342/12171801. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.x)) a)((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 122343/12171828. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((b a)(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.y)))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.x)))((b a)(a (a a)))) REDUCED to normal form. ------ 122344/12171855. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 122345/12171882. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> ((a (^x.x))((a a)((a a) a))) REDUCED to normal form. ------ 122346/12172035. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(c (^b.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.z))) REDUCED to normal form. ------ 122347/12172062. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(b (^z.(a a)))) REDUCED to normal form. ------ 122348/12172107. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 122349/12172143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((^b.b)(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. ------ 122350/12172404. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.a)(^y.a))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (a ((a (^z.z))(^x1.x1))) 6. ==[ alpha ]==> (a ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 122351/12172440. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.z)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) b)((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> (b ((^y.y)((a a)(a a)))) 6. ==[ alpha ]==> (b ((^x.x)((a a)(a a)))) 7. ==[ beta ]==> (b ((a a)(a a))) REDUCED to normal form. ------ 122352/12172485. ------ 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. ------ 122353/12172521. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 122354/12172575. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.y)) REDUCED to normal form. ------ 122355/12172602. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(a a))(^z1.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(a a))(^y1.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a))(^y1.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122356/12172629. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.b))) 3. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 122357/12172773. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))(b ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))(b ((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))(b ((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))(b ((^z.z) b))) 5. ==[ beta ]==> ((a (^y.y))(b ((^z.z) b))) 6. ==[ alpha ]==> ((a (^x.x))(b ((^y.y) b))) 7. ==[ beta ]==> ((a (^x.x))(b b)) REDUCED to normal form. ------ 122358/12172800. ------ 1. ==[ start ]==> ((((a a) a)(a a))(a ((a a)(a a)))) REDUCED to normal form. ------ 122359/12172827. ------ 1. ==[ start ]==> ((a (a b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> ((a (a b))(((^x.x) b)(a a))) 3. ==[ beta ]==> ((a (a b))(b (a a))) REDUCED to normal form. ------ 122360/12172836. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.b) b)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z) b)) 3. ==[ beta ]==> ((^y.b)((^z.z) b)) 4. ==[ alpha ]==> ((^x.b)((^y.y) b)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122361/12173088. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(c (^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 122362/12173115. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(b (^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 122363/12173142. ------ 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 REDUCED to normal form. ------ 122364/12173169. ------ 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. ------ 122365/12173187. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^y.(^z.z)))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 122366/12173196. ------ 1. ==[ start ]==> (((a b)(^a.a))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.x))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 122367/12173214. ------ 1. ==[ start ]==> ((a (^b.(a a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((b a)(^y.a))) REDUCED to normal form. ------ 122368/12173385. ------ 1. ==[ start ]==> (((^a.b) b)((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> (b ((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> (b ((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> (b (((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> (b (((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 122369/12173430. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.(a a))((a (^z.z))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.(a a))((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122370/12173457. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((a a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 122371/12173511. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) b)) 5. ==[ beta ]==> ((^y.y)((a (^y1.(^z1.z1))) b)) 6. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z))) b)) 7. ==[ beta ]==> ((a (^y.(^z.z))) b) 8. ==[ alpha ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 122372/12173601. ------ 1. ==[ start ]==> (((a b) b)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b) b)(a a)) REDUCED to normal form. ------ 122373/12173628. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^a.b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.b)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.b)(^y.a))) 5. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 122374/12173655. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a a)(^x.(a a))) a) REDUCED to normal form. ------ 122375/12173682. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 122376/12173763. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(^y1.(^z1.z1))))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 9. ==[ beta ]==> ((^y.y)((^z1.(^x2.x2))(^y2.(^z2.(^x3.x3))))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122377/12173790. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.y)(^z.z))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 122378/12173808. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z) a)) 3. ==[ beta ]==> (b ((^z.z) a)) 4. ==[ alpha ]==> (b ((^x.x) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122379/12173880. ------ 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)(a a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> (((a a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 122380/12173907. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a b))((a a)(a (a a)))) REDUCED to normal form. ------ 122381/12173934. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((a ((a a) a))((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a) a))((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((a ((a a) a))((a b)(^y.y))) 6. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.x))) REDUCED to normal form. ------ 122382/12173961. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a) a)((a a) a))) REDUCED to normal form. ------ 122383/12173988. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(^x1.x1))(a b))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(^z.z))(a b))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(a b))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(a b))) 7. ==[ beta ]==> ((a (a a))((^y.y)(a b))) 8. ==[ alpha ]==> ((a (a a))((^x.x)(a b))) 9. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 122384/12174015. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> ((((a a) a) a)((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> ((((a a) a) a)((a (a a))(a a))) REDUCED to normal form. ------ 122385/12174033. ------ 1. ==[ start ]==> (((^a.b) c)(d (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)(d (^y.(^z.z)))) 3. ==[ beta ]==> (b (d (^y.(^z.z)))) 4. ==[ alpha ]==> (b (d (^x.(^y.y)))) REDUCED to normal form. ------ 122386/12174042. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 122387/12174069. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (^y.y))(b a))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(b a))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(b a))) REDUCED to normal form. ------ 122388/12174096. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a a)(a (^y.(^z.z))))) REDUCED to normal form. ------ 122389/12174132. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.x1))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122390/12174267. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a) a)(^c.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. ------ 122391/12174276. ------ 1. ==[ start ]==> (((a b) c)((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.a)((a a) a))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 122392/12174303. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))(a b))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))(a b))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))(a b))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 122393/12174330. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 122394/12174384. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(b 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. ------ 122395/12174411. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))((^y.y)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 122396/12174429. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (^y.(^z.z))) a)) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (^y.(^z.z))) a)) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 122397/12174519. ------ 1. ==[ start ]==> (((a b)(^b.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 122398/12174546. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 122399/12174663. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))(c ((a a)(^y.y)))) 3. ==[ beta ]==> ((a (a b))(c ((a a)(^y.y)))) 4. ==[ alpha ]==> ((a (a b))(c ((a a)(^x.x)))) REDUCED to normal form. ------ 122400/12174690. ------ 1. ==[ start ]==> (((a (a a))((a a) a))(b (b a))) REDUCED to normal form. ------ 122401/12174717. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(a (a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(a (a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(a (a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (a (^z.(^x1.x1))))) 7. ==[ beta ]==> ((^y.y)(a (a (^z.(^x1.x1))))) 8. ==[ alpha ]==> ((^x.x)(a (a (^y.(^z.z))))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 122402/12174744. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((b a)(a a))) REDUCED to normal form. ------ 122403/12174771. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(((a a)(^y.y))(a (^z.z)))) 3. ==[ beta ]==> (((a b) a)(((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 122404/12174798. ------ 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.x1) a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((^z.z)(a a))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))((^z.z) a))) 5. ==[ beta ]==> (((a a)(a (^x.x)))((a a)((^z.z) a))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)((^y.y) a))) 7. ==[ beta ]==> (((a a)(a (^x.x)))((a a) a)) REDUCED to normal form. ------ 122405/12174825. ------ 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. ------ 122406/12174852. ------ 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. ------ 122407/12175023. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((b a)(^z.z))) 3. ==[ beta ]==> (b ((b a)(^z.z))) 4. ==[ alpha ]==> (b ((b a)(^x.x))) REDUCED to normal form. ------ 122408/12175086. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(a a)) REDUCED to normal form. ------ 122409/12175131. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((b a)(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((b a)(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 122410/12175194. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(z z))(a b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(y y))(a b))) 5. ==[ beta ]==> ((a (^x.(a a)))((a b)(a b))) REDUCED to normal form. ------ 122411/12175212. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a b))(a (^y.(a a)))) 6. ==[ alpha ]==> (((a b)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 122412/12175221. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 122413/12175275. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.z)(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 122414/12175293. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((b a) a)) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((b a) a)) 3. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 122415/12175329. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 122416/12175356. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 122417/12175500. ------ 1. ==[ start ]==> (((a (a a))(a b))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a (a a))(a b))(c (a a))) REDUCED to normal form. ------ 122418/12175527. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)((a a) a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))(b ((a a)(^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. ------ 122419/12175554. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(a (b a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(a (b a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(a (b a))) REDUCED to normal form. ------ 122420/12175581. ------ 1. ==[ start ]==> (((a b)(a (a a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(((a a)(^x.x))(a a))) REDUCED to normal form. ------ 122421/12175608. ------ 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)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((^z.z)(a a))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y)(a a))(a (^z.z)))) 5. ==[ beta ]==> (((a a) a)(((^y.y)(a a))(a (^z.z)))) 6. ==[ alpha ]==> (((a a) a)(((^x.x)(a a))(a (^y.y)))) 7. ==[ beta ]==> (((a a) a)((a a)(a (^y.y)))) 8. ==[ alpha ]==> (((a a) a)((a a)(a (^x.x)))) REDUCED to normal form. ------ 122422/12175635. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a b) a)) REDUCED to normal form. ------ 122423/12175689. ------ 1. ==[ start ]==> ((a (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)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 122424/12175860. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 122425/12175977. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z))((a a) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 122426/12175995. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (^x1.b))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.b))) REDUCED to normal form. ------ 122427/12176004. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.a)(a b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 122428/12176022. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (^y.y))(^z.(a a))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(a a))) REDUCED to normal form. ------ 122429/12176076. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((a a)(^z.z)) a)) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((a a)(^z.z)) a)) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((a a)(^y.y)) a)) 7. ==[ beta ]==> (((a a)(a a))(((a a)(^y.y)) a)) 8. ==[ alpha ]==> (((a a)(a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 122430/12176085. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 122431/12176112. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)((^z.(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)((^y.(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122432/12176166. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 122433/12176193. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 122434/12176220. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 122435/12176274. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.(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. ------ 122436/12176310. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(a ((a a)(^z.z)))) REDUCED to normal form. ------ 122437/12176337. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((a a)(a a))) REDUCED to normal form. ------ 122438/12176364. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((a b)(a (^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((a b)(a (^y.y)))) REDUCED to normal form. ------ 122439/12176391. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(a a))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a (a a))(a a))(((a a) a) a)) REDUCED to normal form. ------ 122440/12176418. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((a b)(((^y.y)(^z.z))(a (a a)))) 6. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))(a (a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a (a a)))) 8. ==[ alpha ]==> ((a b)((^x.x)(a (a a)))) 9. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 122441/12176445. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))((^x.x)(^y.y)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.y))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.x))) REDUCED to normal form. ------ 122442/12176472. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) a)((a a) a))) 5. ==[ beta ]==> (((a b)(^x.x))(a ((a a) a))) REDUCED to normal form. ------ 122443/12176499. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (^y.y))(a b))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (^y.y))(a b))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (^x.x))(a b))) REDUCED to normal form. ------ 122444/12176526. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(a a))) REDUCED to normal form. ------ 122445/12176571. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((^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. ------ 122446/12176616. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 122447/12176643. ------ 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))(^y2.(y2 y2)))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(^x2.x2))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(z z))) 7. ==[ beta ]==> ((^y.y)(^z.(z z))) 8. ==[ alpha ]==> ((^x.x)(^y.(y y))) 9. ==[ beta ]==> (^y.(y y)) 10. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 122448/12176778. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a)(a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a)) a)) 3. ==[ beta ]==> (b (((^z.z)(a a)) a)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) a)) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 122449/12176895. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 122450/12176922. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 122451/12176949. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 122452/12176976. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.y1)(^z1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.(a a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.(a a))) REDUCED to normal form. ------ 122453/12177021. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.b) b)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.b) b)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.b) b)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 122454/12177111. ------ 1. ==[ start ]==> (((a b)(^c.a))(d (^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(d (^y.(^z.z)))) REDUCED to normal form. ------ 122455/12177138. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(c (^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(c (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(c (^z.a))) REDUCED to normal form. ------ 122456/12177165. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(a a)))(b (^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(b (^z.b))) REDUCED to normal form. ------ 122457/12177210. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a b)(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122458/12177219. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((^y1.b)(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1))) b) REDUCED to normal form. ------ 122459/12177246. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 122460/12177552. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))(b ((a a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))(b ((a a) a))) REDUCED to normal form. ------ 122461/12177579. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(a (a b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(a (a b))) 3. ==[ beta ]==> ((b (a a))(a (a b))) REDUCED to normal form. ------ 122462/12177606. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(((a a) a)(a a))) REDUCED to normal form. ------ 122463/12177642. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^b.(^a.a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1)) c)) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1)) c)) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z)) c)) 5. ==[ beta ]==> ((^y.(^z.z)) c) 6. ==[ alpha ]==> ((^x.(^y.y)) c) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122464/12177777. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((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. ------ 122465/12177885. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122466/12177921. ------ 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. ------ 122467/12177966. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((a a)(a a))((^y.y) b)) 6. ==[ alpha ]==> (((a a)(a a))((^x.x) b)) 7. ==[ beta ]==> (((a a)(a a)) b) REDUCED to normal form. ------ 122468/12177993. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((a (a a)) c)) 3. ==[ beta ]==> ((^y.y)((a (a a)) c)) 4. ==[ alpha ]==> ((^x.x)((a (a a)) c)) 5. ==[ beta ]==> ((a (a a)) c) REDUCED to normal form. ------ 122469/12178002. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) a) REDUCED to normal form. ------ 122470/12178029. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.(y1 y1)))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 122471/12178128. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.(^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. ------ 122472/12178191. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(c (^x1.(x1 x1)))) REDUCED to normal form. ------ 122473/12178245. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a (^x1.a))) REDUCED to normal form. ------ 122474/12178272. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^b.(^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. ------ 122475/12178299. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(y y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a (^z.z))(a (^z.z)))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 122476/12178497. ------ 1. ==[ start ]==> (((a b)(a b))(b (a (a a)))) REDUCED to normal form. ------ 122477/12178524. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))(a ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)((a a) a))(a ((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)((a a) a))(a ((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)((a a) a))(a (^y.y))) 6. ==[ alpha ]==> (((a a)((a a) a))(a (^x.x))) REDUCED to normal form. ------ 122478/12178551. ------ 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))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((a (a a))(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((a (a a))(a a))) REDUCED to normal form. ------ 122479/12178605. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((a (^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a (^z.z))((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (^z.z)) a)) REDUCED to normal form. ------ 122480/12178632. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> ((b (a (^y.y)))((a a)(a (a a)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 122481/12178776. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a)) a)) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a)) a)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a)) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a)) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a)) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122482/12179001. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a)(a a))) 3. ==[ beta ]==> ((b c)((^y.a)(a a))) 4. ==[ alpha ]==> ((b c)((^x.a)(a a))) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 122483/12179028. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 122484/12179073. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a) a)) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a) a)) 5. ==[ beta ]==> ((b (^x.x))(a a)) REDUCED to normal form. ------ 122485/12179100. ------ 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 (^z.z)) b)) 4. ==[ alpha ]==> ((^x.x)((a (^y.y)) b)) 5. ==[ beta ]==> ((a (^y.y)) b) 6. ==[ alpha ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 122486/12179136. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))((^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. ------ 122487/12179154. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 122488/12179235. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 122489/12179244. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 122490/12179271. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))(a (^y.y))) REDUCED to normal form. ------ 122491/12179343. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122492/12179352. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (^x1.x1))) REDUCED to normal form. ------ 122493/12179379. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 122494/12179406. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 122495/12179469. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 122496/12188016. ------ 1. ==[ start ]==> (((a a)(b (^a.a))) b) 2. ==[ alpha ]==> (((a a)(b (^x.x))) b) REDUCED to normal form. ------ 122497/12188040. ------ 1. ==[ start ]==> ((^a.(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a a)(b (^z.z)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122498/12188166. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (((^z.(^x1.(^y1.y1)))(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.x1)) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.x1)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.z)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122499/12188355. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 122500/12188625. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> (((^y.(a a))(^z.b))(((^y.(a a))(^z.b))((^y.(a a))(^z.b)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.b))(((^z.(a a))(^x1.b))((^y1.(a a))(^z1.b)))) 5. ==[ beta ]==> ((a a)(((^z.(a a))(^x1.b))((^y1.(a a))(^z1.b)))) 6. ==[ alpha ]==> ((a a)(((^x.(a a))(^y.b))((^z.(a a))(^x1.b)))) 7. ==[ beta ]==> ((a a)((a a)((^z.(a a))(^x1.b)))) 8. ==[ alpha ]==> ((a a)((a a)((^x.(a a))(^y.b)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 122501/12188826. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(^y.(b (^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(^y.(b (^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(^x.(b (^y.y)))) REDUCED to normal form. ------ 122502/12188850. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(a a))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122503/12189537. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(^c.(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y) b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)(^y.(^z.(a a)))) 5. ==[ beta ]==> (b (^y.(^z.(a a)))) 6. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 122504/12189897. ------ 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. ------ 122505/12190515. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.y)(((^z.a)(b a))((^z.a)(b a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.a)(b a))((^z.a)(b a)))) 5. ==[ beta ]==> (((^y.a)(b a))((^z.a)(b a))) 6. ==[ alpha ]==> (((^x.a)(b a))((^y.a)(b a))) 7. ==[ beta ]==> (a ((^y.a)(b a))) 8. ==[ alpha ]==> (a ((^x.a)(b a))) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122506/12190905. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (b (^z.((^x1.x1) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 122507/12191190. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(b (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((b (^z.(^x1.(^y1.y1))))(b (^z.(^x1.(^y1.y1)))))(^y.y)) 4. ==[ alpha ]==> (((b (^x.(^y.(^z.z))))(b (^x1.(^y1.(^z1.z1)))))(^x2.x2)) REDUCED to normal form. ------ 122508/12191508. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^y.b))(^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 122509/12191814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> (^y.(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> (^x.(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 122510/12192372. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(^c.(^d.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.(^x1.a))) REDUCED to normal form. ------ 122511/12193386. ------ 1. ==[ start ]==> ((^a.(^b.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122512/12193407. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 122513/12193701. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122514/12194487. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(^y.y))((^z.z)(a a))) a) 4. ==[ beta ]==> (((^y.y)((^z.z)(a a))) a) 5. ==[ alpha ]==> (((^x.x)((^y.y)(a a))) a) 6. ==[ beta ]==> (((^y.y)(a a)) a) 7. ==[ alpha ]==> (((^x.x)(a a)) a) 8. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 122515/12194676. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(^b.(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(^y.(^z.y))) 3. ==[ beta ]==> ((b (a a))(^y.(^z.y))) 4. ==[ alpha ]==> ((b (a a))(^x.(^y.x))) REDUCED to normal form. ------ 122516/12195018. ------ 1. ==[ start ]==> ((((^a.a) b) b)(^c.(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)(^y.(^z.a))) 3. ==[ beta ]==> ((b b)(^y.(^z.a))) 4. ==[ alpha ]==> ((b b)(^x.(^y.a))) REDUCED to normal form. ------ 122517/12195486. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 122518/12195621. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))(^b.(^b.(^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. ------ 122519/12195756. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 122520/12195780. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z))(a a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122521/12196233. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.z)) 3. ==[ beta ]==> ((a (^y.y))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 122522/12196251. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(x x))(a (^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.x1)) 5. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 122523/12196368. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 122524/12196440. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122525/12196476. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.z)) 3. ==[ beta ]==> ((b (^y.a))(^z.z)) 4. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 122526/12196566. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 122527/12196596. ------ 1. ==[ start ]==> ((a (^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 122528/12196632. ------ 1. ==[ start ]==> (((a a) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 122529/12196659. ------ 1. ==[ start ]==> (((a a)(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 122530/12196686. ------ 1. ==[ start ]==> (((^a.a) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x) b)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.a))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.a))) 5. ==[ beta ]==> (b (b (^y.a))) 6. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 122531/12196695. ------ 1. ==[ start ]==> (((a a)(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(a a))((^x.x)((^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. ------ 122532/12196713. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 122533/12196722. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 122534/12196740. ------ 1. ==[ start ]==> (((a a) b)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 122535/12196794. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a a)(^z.b))) REDUCED to normal form. ------ 122536/12196821. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a b)(^z.(a a)))) REDUCED to normal form. ------ 122537/12196884. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 122538/12196911. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 122539/12196956. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 122540/12197010. ------ 1. ==[ start ]==> (((a a)(^b.a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)(^x.a))((b (^y.y)) a)) REDUCED to normal form. ------ 122541/12197037. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a)) b)) REDUCED to normal form. ------ 122542/12197064. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) b) c)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b) c)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b) c)) 5. ==[ beta ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 122543/12197100. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 122544/12197181. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.b))) 3. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 122545/12197379. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(a (b (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))(a (b (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))(a (b (^x.x)))) REDUCED to normal form. ------ 122546/12197406. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 122547/12197541. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122548/12197568. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a b)(a b))) 3. ==[ beta ]==> ((^y.y)((a b)(a b))) 4. ==[ alpha ]==> ((^x.x)((a b)(a b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 122549/12197622. ------ 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))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))((a a)(^x2.x2)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 122550/12197676. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 122551/12197703. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a 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. ------ 122552/12197766. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((a a)(a a))(^z.z))) REDUCED to normal form. ------ 122553/12197793. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) b)(^y1.(^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. ------ 122554/12197829. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 122555/12197910. ------ 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 a) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(a a)) REDUCED to normal form. ------ 122556/12197937. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(a b))) 5. ==[ beta ]==> ((a a)((^y.b)(a b))) 6. ==[ alpha ]==> ((a a)((^x.b)(a b))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 122557/12198090. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a a)(^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a a)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y) b)((a a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.x) b)((a a)(^y.(a a)))) 5. ==[ beta ]==> (b ((a a)(^y.(a a)))) 6. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 122558/12198117. ------ 1. ==[ start ]==> ((((a a) a) a)(((a a)(a a)) a)) REDUCED to normal form. ------ 122559/12198171. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.(^y1.y1))) c)) REDUCED to normal form. ------ 122560/12198342. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 122561/12198396. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.a)(^z.(^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. ------ 122562/12198423. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 122563/12198468. ------ 1. ==[ start ]==> (((^a.b) a)((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.b) a)((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122564/12198486. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) b)(a a))) 3. ==[ beta ]==> ((^y.b)(((^z.z) b)(a a))) 4. ==[ alpha ]==> ((^x.b)(((^y.y) b)(a a))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122565/12198567. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((a a)(^z.z))(a (a a)))) IRREDUCIBLE: cycle. ------ 122566/12198648. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a) a)(a b))) 3. ==[ beta ]==> (b (((a a) a)(a b))) REDUCED to normal form. ------ 122567/12198675. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a b)(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a b)((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> ((a b)((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> ((a b)((^y.y)(a a))) 8. ==[ alpha ]==> ((a b)((^x.x)(a a))) 9. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 122568/12198702. ------ 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. ------ 122569/12198756. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 122570/12198819. ------ 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. ------ 122571/12198846. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 122572/12198936. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 122573/12198963. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a (a a))(a (a a))) b) REDUCED to normal form. ------ 122574/12199017. ------ 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. ------ 122575/12199035. ------ 1. ==[ start ]==> (((^a.b) b)((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((a (a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b ((a (a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 122576/12199044. ------ 1. ==[ start ]==> (((a b)(a a))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(x x))((a a)(^y.y)))) 3. ==[ beta ]==> (((a b)(a a))(((a a)(^y.y))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b)(a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 122577/12199071. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.a)(b a))) 3. ==[ beta ]==> ((a (a a))((^y.a)(b a))) 4. ==[ alpha ]==> ((a (a a))((^x.a)(b a))) 5. ==[ beta ]==> ((a (a a)) a) REDUCED to normal form. ------ 122578/12199458. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (b (a ((^z.z) b))) 4. ==[ alpha ]==> (b (a ((^x.x) b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 122579/12199467. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^b.b) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z) a)) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) a) REDUCED to normal form. ------ 122580/12199494. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.(^x1.x1))) b)) 5. ==[ beta ]==> (((a a)(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 122581/12199746. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(b (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 122582/12199926. ------ 1. ==[ start ]==> (((a b) c)(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a b) c)(((a a) a)(^x.a))) REDUCED to normal form. ------ 122583/12199953. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.b))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.b))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.b))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.b))) 7. ==[ beta ]==> (((a a) b)(^y.b)) 8. ==[ alpha ]==> (((a a) b)(^x.b)) REDUCED to normal form. ------ 122584/12199980. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 122585/12200061. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.b))((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.b))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 122586/12200115. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((b a) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((b a) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a) b)) 5. ==[ beta ]==> ((^y.(^z.z))((b a) b)) 6. ==[ alpha ]==> ((^x.(^y.y))((b a) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122587/12200259. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 122588/12200286. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(z z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(z z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(y y))(^z.(a a)))) 5. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^z.(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(a a)))) 7. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 122589/12200313. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 122590/12200367. ------ 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.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.x1)(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.z)(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((^y.y)((^z.z)(^x1.(^y1.(^z1.z1))))) 8. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.(^y1.y1))))) 9. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 10. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 11. ==[ beta ]==> (^y.(^z.(^x1.x1))) 12. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 122591/12200592. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 7. ==[ beta ]==> (b (a ((^y.y)(a a)))) 8. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 9. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 122592/12200736. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)((a a)(^z.a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(^y.a))) REDUCED to normal form. ------ 122593/12200844. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a (a a))(^z.b))) 3. ==[ beta ]==> ((a (^y.(a a)))((a (a a))(^z.b))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a (a a))(^y.b))) REDUCED to normal form. ------ 122594/12200871. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.b))(a (^y.(a a)))) REDUCED to normal form. ------ 122595/12200952. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((b a) a)) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((b a) a)) REDUCED to normal form. ------ 122596/12200979. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((a a)(^z.z)) b)) 3. ==[ beta ]==> (((a a)(^y.a))(((a a)(^z.z)) b)) 4. ==[ alpha ]==> (((a a)(^x.a))(((a a)(^y.y)) b)) REDUCED to normal form. ------ 122597/12201069. ------ 1. ==[ start ]==> (((a a)(b a))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a)(b a)) a) REDUCED to normal form. ------ 122598/12201096. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))(^z.z)) REDUCED to normal form. ------ 122599/12201123. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.b))) 6. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.b))) 7. ==[ beta ]==> ((a (a a))((^y.b)(^y.b))) 8. ==[ alpha ]==> ((a (a a))((^x.b)(^y.b))) 9. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 122600/12201150. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 122601/12201348. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122602/12201429. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((a a)((a (^z.z))((^x1.x1)(a a)))) 6. ==[ alpha ]==> ((a a)((a (^x.x))((^y.y)(a a)))) 7. ==[ beta ]==> ((a a)((a (^x.x))(a a))) REDUCED to normal form. ------ 122603/12201654. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(a (^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(a (^x1.b))) REDUCED to normal form. ------ 122604/12201735. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 122605/12201762. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z)(a a)) b)) 5. ==[ beta ]==> ((^y.b)(((^z.z)(a a)) b)) 6. ==[ alpha ]==> ((^x.b)(((^y.y)(a a)) b)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122606/12201942. ------ 1. ==[ start ]==> ((a (^b.b))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))(b ((^y.y)(a a)))) 3. ==[ beta ]==> ((a (^x.x))(b (a a))) REDUCED to normal form. ------ 122607/12202176. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(b (^b.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(b (^z.(a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(b (^z.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(b (^y.(a a)))) REDUCED to normal form. ------ 122608/12202221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1)(a a))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122609/12202230. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((^z.(a a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))(a a)) REDUCED to normal form. ------ 122610/12202257. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.b)(a (^z.z)))) 3. ==[ beta ]==> ((a b)((^y.b)(a (^z.z)))) 4. ==[ alpha ]==> ((a b)((^x.b)(a (^y.y)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 122611/12202590. ------ 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. ------ 122612/12202617. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))(b (a b))) 3. ==[ beta ]==> ((^y.y)(b (a b))) 4. ==[ alpha ]==> ((^x.x)(b (a b))) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 122613/12202671. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((a b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((a b)(a a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((a b)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((a b)(a a))) REDUCED to normal form. ------ 122614/12202707. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.a) c)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.a) c)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a) c)) 5. ==[ beta ]==> ((^y.(a a))((^z.a) c)) 6. ==[ alpha ]==> ((^x.(a a))((^y.a) c)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122615/12202752. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a (a a))(a (a a)))) 3. ==[ beta ]==> (b ((a (a a))(a (a a)))) REDUCED to normal form. ------ 122616/12202869. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a b)(^y1.y1))) REDUCED to normal form. ------ 122617/12202896. ------ 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. ------ 122618/12202932. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 122619/12202959. ------ 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 (a a)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((a (a a))(a (a a)))) REDUCED to normal form. ------ 122620/12202986. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 122621/12203013. ------ 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. ------ 122622/12203040. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.x1)(a b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.z)(a b))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(a b))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a b))) 7. ==[ beta ]==> ((a a)((^y.y)(a b))) 8. ==[ alpha ]==> ((a a)((^x.x)(a b))) 9. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 122623/12203067. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.b)(^y.y))) 3. ==[ beta ]==> ((((a a) a)(a b)) b) REDUCED to normal form. ------ 122624/12203094. ------ 1. ==[ start ]==> (((a b)((a a) a))((^c.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 122625/12203121. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 122626/12203148. ------ 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 y))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))((^z.(z z))(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(y y))(^z.(z z)))) IRREDUCIBLE: cycle. ------ 122627/12203229. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.y)(^z.b))) 3. ==[ beta ]==> ((b (a a))((^y.y)(^z.b))) 4. ==[ alpha ]==> ((b (a a))((^x.x)(^y.b))) 5. ==[ beta ]==> ((b (a a))(^y.b)) 6. ==[ alpha ]==> ((b (a a))(^x.b)) REDUCED to normal form. ------ 122628/12203292. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(((^a.a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.z))) 7. ==[ beta ]==> ((^y.y)(a (^z.z))) 8. ==[ alpha ]==> ((^x.x)(a (^y.y))) 9. ==[ beta ]==> (a (^y.y)) 10. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 122629/12203571. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a a)(^y.a))) 3. ==[ beta ]==> ((b b)((a a)(^y.a))) 4. ==[ alpha ]==> ((b b)((a a)(^x.a))) REDUCED to normal form. ------ 122630/12203598. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((a a) a) a)) REDUCED to normal form. ------ 122631/12203652. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (a a)) c)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (a a)) c)) REDUCED to normal form. ------ 122632/12203697. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))(c (a (a a)))) 3. ==[ beta ]==> (((b a)(b a))(c (a (a a)))) REDUCED to normal form. ------ 122633/12203760. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^c.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. ------ 122634/12203778. ------ 1. ==[ start ]==> (((^a.b)(a b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(a b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a a))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122635/12203787. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.(^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. ------ 122636/12203886. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((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. ------ 122637/12203922. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(^x1.x1)) 8. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122638/12203949. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 122639/12203985. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a a)((a a)(a a))) a) REDUCED to normal form. ------ 122640/12204012. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 122641/12204039. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.z)(^x1.x1))) 7. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 8. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 122642/12204066. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 122643/12204093. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 122644/12204120. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.a)(^z.a))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.a)(^y.a))) 5. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 122645/12204147. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 122646/12204174. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.y)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.x)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.(^z.z))) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.(^y.y))) REDUCED to normal form. ------ 122647/12204282. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> ((b (a (^y.y)))(b (^z.(z z)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 122648/12204309. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 122649/12204336. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^a.(a a))(a a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.(y y))(a a))) 3. ==[ beta ]==> ((a (b (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 122650/12204507. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(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. ------ 122651/12204615. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a a)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122652/12204651. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((b c)(a (^y.y))) 6. ==[ alpha ]==> ((b c)(a (^x.x))) REDUCED to normal form. ------ 122653/12204678. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 122654/12204786. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a) c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a) c)) 3. ==[ beta ]==> ((a (^y.y))((a a) c)) 4. ==[ alpha ]==> ((a (^x.x))((a a) c)) REDUCED to normal form. ------ 122655/12204804. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(a ((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a ((^y1.y1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 122656/12204813. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 122657/12204885. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c a)) 3. ==[ beta ]==> (b (c a)) REDUCED to normal form. ------ 122658/12204894. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 122659/12204921. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 122660/12204993. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(a (a (^x1.x1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (^z.z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122661/12205002. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 122662/12205029. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z) b)) 3. ==[ beta ]==> ((b (^y.a))((^z.z) b)) 4. ==[ alpha ]==> ((b (^x.a))((^y.y) b)) 5. ==[ beta ]==> ((b (^x.a)) b) REDUCED to normal form. ------ 122663/12205056. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 122664/12205119. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 122665/12213675. ------ 1. ==[ start ]==> (((a a)(b (^a.a))) c) 2. ==[ alpha ]==> (((a a)(b (^x.x))) c) REDUCED to normal form. ------ 122666/12213753. ------ 1. ==[ start ]==> ((^a.b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.b)((b (^y.y))(^z.z))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 122667/12213834. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^z.(^x1.x1)))(^y1.(y1 y1)))(^y.y)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 122668/12213951. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> (^y.((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (^x.((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 122669/12214023. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a (a a))(^z.(^x1.(^y1.y1))))) 3. ==[ eta ]==> ((^y.y)((a (a a))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 122670/12214116. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)(^y.(y (^z.z)))) 5. ==[ beta ]==> (a (^y.(y (^z.z)))) 6. ==[ alpha ]==> (a (^x.(x (^y.y)))) REDUCED to normal form. ------ 122671/12214194. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 122672/12214503. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(b (^z.z)))) REDUCED to normal form. ------ 122673/12214854. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(^c.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(^y.((a a)(a a)))) REDUCED to normal form. ------ 122674/12215076. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a) a)(^y.(a a)))) 3. ==[ beta ]==> (((((a a) a)(^y.(a a)))(((a a) a)(^y.(a a))))(((a a) a)(^y.(a a)))) 4. ==[ alpha ]==> (((((a a) a)(^x.(a a)))(((a a) a)(^y.(a a))))(((a a) a)(^z.(a a)))) REDUCED to normal form. ------ 122675/12215409. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.b)(^x1.b))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 122676/12215583. ------ 1. ==[ start ]==> (((^a.b) a)(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.((y y)(y y)))) 3. ==[ beta ]==> (b (^y.((y y)(y y)))) 4. ==[ alpha ]==> (b (^x.((x x)(x x)))) REDUCED to normal form. ------ 122677/12215589. ------ 1. ==[ start ]==> ((^a.(a b))((^c.(a a)) a)) 2. ==[ alpha ]==> ((^x.(x b))((^y.(a a)) a)) 3. ==[ beta ]==> (((^y.(a a)) a) b) 4. ==[ alpha ]==> (((^x.(a a)) a) b) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 122678/12215907. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(^x1.((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))(^x1.((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(^z.((^x1.x1) b))) 5. ==[ beta ]==> ((^y.a)(^z.((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.a)(^y.((^z.z) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122679/12215976. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 3. ==[ beta ]==> (^y.(((^z.(^x1.(^y1.y1)))(a (^z1.z1)))((^z.(^x1.(^y1.y1)))(a (^z1.z1))))) 4. ==[ alpha ]==> (^x.(((^y.(^z.(^x1.x1)))(a (^y1.y1)))((^z1.(^x2.(^y2.y2)))(a (^z2.z2))))) 5. ==[ beta ]==> (^x.((^z.(^x1.x1))((^z1.(^x2.(^y2.y2)))(a (^z2.z2))))) 6. ==[ alpha ]==> (^x.((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (^x2.x2))))) 7. ==[ beta ]==> (^x.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122680/12216573. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(^z.(^x1.x1))) 3. ==[ beta ]==> (b (^z.(^x1.x1))) 4. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 122681/12216582. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^z.b)) REDUCED to normal form. ------ 122682/12216897. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^a.(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122683/12217194. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))(^y.(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(^y.(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))(^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 122684/12217788. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 122685/12218058. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^b.(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(^y.(y a))) 3. ==[ beta ]==> (b (^y.(y a))) 4. ==[ alpha ]==> (b (^x.(x a))) REDUCED to normal form. ------ 122686/12218163. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.b)(^z1.(z1 z1)))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 122687/12218841. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(^y.((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))(^y.((a a)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))(^x.((a a)(^y.y)))) REDUCED to normal form. ------ 122688/12219054. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122689/12219369. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122690/12219543. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(a a)))) 5. ==[ beta ]==> (b (^x.(a a))) REDUCED to normal form. ------ 122691/12219975. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(^y1.(^z1.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122692/12220368. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.b) a)) 3. ==[ beta ]==> ((((^y.b) a)((^y.b) a))(((^y.b) a)((^y.b) a))) 4. ==[ alpha ]==> ((((^x.b) a)((^y.b) a))(((^z.b) a)((^x1.b) a))) 5. ==[ beta ]==> ((b ((^y.b) a))(((^z.b) a)((^x1.b) a))) 6. ==[ alpha ]==> ((b ((^x.b) a))(((^y.b) a)((^z.b) a))) 7. ==[ beta ]==> ((b b)(((^y.b) a)((^z.b) a))) 8. ==[ alpha ]==> ((b b)(((^x.b) a)((^y.b) a))) 9. ==[ beta ]==> ((b b)(b ((^y.b) a))) 10. ==[ alpha ]==> ((b b)(b ((^x.b) a))) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 122693/12220542. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(^z.(^x1.b))) 3. ==[ beta ]==> (b (^z.(^x1.b))) 4. ==[ alpha ]==> (b (^x.(^y.b))) REDUCED to normal form. ------ 122694/12220875. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.((y y) y))) REDUCED to normal form. ------ 122695/12221010. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(^c.((^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))(^x1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.(^y1.y1))) REDUCED to normal form. ------ 122696/12221448. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (a a))(^z.z))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122697/12221541. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122698/12221838. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 122699/12221919. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.(^z1.a))) REDUCED to normal form. ------ 122700/12221928. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 122701/12222000. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.z))) 3. ==[ beta ]==> (b (^z.(^x1.z))) 4. ==[ alpha ]==> (b (^x.(^y.x))) REDUCED to normal form. ------ 122702/12222108. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122703/12222117. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 122704/12222144. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a a))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a a))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a a))) REDUCED to normal form. ------ 122705/12222234. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 122706/12222282. ------ 1. ==[ start ]==> (((^a.a) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) a)((a a)(b (^y.y)))) 3. ==[ beta ]==> (a ((a a)(b (^y.y)))) 4. ==[ alpha ]==> (a ((a a)(b (^x.x)))) REDUCED to normal form. ------ 122707/12222318. ------ 1. ==[ start ]==> ((a b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a b)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 122708/12222372. ------ 1. ==[ start ]==> (((a a)(a a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(a a))(((^x.x) 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. ------ 122709/12222399. ------ 1. ==[ start ]==> ((a (a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 122710/12222408. ------ 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)))(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122711/12222489. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122712/12222516. ------ 1. ==[ start ]==> ((a (^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a (^x.a)) b) REDUCED to normal form. ------ 122713/12222588. ------ 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. ------ 122714/12222597. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.a)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.a)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 122715/12222624. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1) b))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122716/12222678. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (((^y.y) a)((^z.z)(b (^x1.x1)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.y)(b (^z.z)))) 5. ==[ beta ]==> (a ((^y.y)(b (^z.z)))) 6. ==[ alpha ]==> (a ((^x.x)(b (^y.y)))) 7. ==[ beta ]==> (a (b (^y.y))) 8. ==[ alpha ]==> (a (b (^x.x))) REDUCED to normal form. ------ 122717/12222759. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.a)) REDUCED to normal form. ------ 122718/12222867. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.(y y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(a a))(^z.b))) 5. ==[ beta ]==> (((^y.(a a))(^z.b))((^y.(a a))(^z.b))) 6. ==[ alpha ]==> (((^x.(a a))(^y.b))((^z.(a a))(^x1.b))) 7. ==[ beta ]==> ((a a)((^z.(a a))(^x1.b))) 8. ==[ alpha ]==> ((a a)((^x.(a a))(^y.b))) 9. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 122719/12222894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122720/12222975. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 8. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 122721/12223002. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122722/12223011. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))(c ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))(c ((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))(c b)) REDUCED to normal form. ------ 122723/12223038. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(b ((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 122724/12223065. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(a (b (^y.y)))) REDUCED to normal form. ------ 122725/12223128. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))((^b.b) c)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))((^z.z) c)) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) c)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) c)) 5. ==[ beta ]==> (((a (^x.x)) a) c) REDUCED to normal form. ------ 122726/12223173. ------ 1. ==[ start ]==> (((^a.(a a)) b)((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)((b a)(a (a a)))) 3. ==[ beta ]==> ((b b)((b a)(a (a a)))) REDUCED to normal form. ------ 122727/12223308. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(^y.y))((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)((^y.y)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a (a a)) b)((^x.x)((a a)(^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. ------ 122728/12223335. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y) a)((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((a (a a))(b a))) 5. ==[ beta ]==> (a ((a (a a))(b a))) REDUCED to normal form. ------ 122729/12223362. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 122730/12223389. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a (^z.z)) b)) REDUCED to normal form. ------ 122731/12223416. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a a)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.a))((a a)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.a))((a a)((a a)(a a)))) REDUCED to normal form. ------ 122732/12223506. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 122733/12223533. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 122734/12223560. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 122735/12223614. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a b)(^z.b))) 3. ==[ beta ]==> (((^y.y)(a a))((a b)(^z.b))) 4. ==[ alpha ]==> (((^x.x)(a a))((a b)(^y.b))) 5. ==[ beta ]==> ((a a)((a b)(^y.b))) 6. ==[ alpha ]==> ((a a)((a b)(^x.b))) REDUCED to normal form. ------ 122736/12223641. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a) a)(^x.(a a)))) REDUCED to normal form. ------ 122737/12223677. ------ 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))((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. ------ 122738/12223731. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (a ((^z.a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (a ((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122739/12223839. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122740/12223974. ------ 1. ==[ start ]==> ((a (^a.b))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((a (^x.b))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (^x.b)) b) REDUCED to normal form. ------ 122741/12224145. ------ 1. ==[ start ]==> (((^a.b) a)(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(a ((a a)(a a)))) 3. ==[ beta ]==> (b (a ((a a)(a a)))) REDUCED to normal form. ------ 122742/12224154. ------ 1. ==[ start ]==> ((a (a b))((^c.(a a)) a)) 2. ==[ alpha ]==> ((a (a b))((^x.(a a)) a)) 3. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 122743/12224307. ------ 1. ==[ start ]==> ((((a a) a) b)((a b)((a a) a))) REDUCED to normal form. ------ 122744/12224334. ------ 1. ==[ start ]==> (((a b) a)(((a a) a)(a b))) REDUCED to normal form. ------ 122745/12224361. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^x.b))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.b))((^z.z)(a a))) 6. ==[ alpha ]==> (((a a)(^x.b))((^y.y)(a a))) 7. ==[ beta ]==> (((a a)(^x.b))(a a)) REDUCED to normal form. ------ 122746/12224415. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(a (b a))) REDUCED to normal form. ------ 122747/12224442. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 122748/12224469. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))((a a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((a a)((^z.z) b))) 6. ==[ alpha ]==> ((^x.a)((a a)((^y.y) b))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122749/12224514. ------ 1. ==[ start ]==> (((^a.b)(a a))((^b.b)(a a))) 2. ==[ alpha ]==> (((^x.b)(a a))((^y.y)(a a))) 3. ==[ beta ]==> (b ((^y.y)(a a))) 4. ==[ alpha ]==> (b ((^x.x)(a a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122750/12224541. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^x.(a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 122751/12224559. ------ 1. ==[ start ]==> (((a a)(a b))((b a)(^b.a))) 2. ==[ alpha ]==> (((a a)(a b))((b a)(^x.a))) REDUCED to normal form. ------ 122752/12224586. ------ 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. ------ 122753/12224613. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a (^x.x))((a a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a (^x.x))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 122754/12224640. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((a b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((a b)(^x.a))) REDUCED to normal form. ------ 122755/12224667. ------ 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)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((a a) a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((a a) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(((a a) a)(^z.b))) 6. ==[ alpha ]==> (((^x.x) a)(((a a) a)(^y.b))) 7. ==[ beta ]==> (a (((a a) a)(^y.b))) 8. ==[ alpha ]==> (a (((a a) a)(^x.b))) REDUCED to normal form. ------ 122756/12224694. ------ 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. ------ 122757/12224721. ------ 1. ==[ start ]==> (((a b)(a a))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 122758/12224757. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(b a))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(b a))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(b a))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 122759/12224784. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122760/12224838. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.z1))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)((^y.y)(^z.z))) 7. ==[ beta ]==> ((^y.y)(^z.z)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122761/12224919. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^c.(^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. ------ 122762/12224973. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.b)(^z.a))) 5. ==[ beta ]==> ((a a)((^y.b)(^z.a))) 6. ==[ alpha ]==> ((a a)((^x.b)(^y.a))) 7. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 122763/12225000. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.b))) 5. ==[ beta ]==> ((^y.a)(^z.b)) 6. ==[ alpha ]==> ((^x.a)(^y.b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122764/12225117. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 122765/12225135. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (b ((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122766/12225144. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(a ((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a b)) REDUCED to normal form. ------ 122767/12225171. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((a (^z.(^x1.x1)))(a a))) 3. ==[ beta ]==> (((a a)(^y.y))((a (^z.(^x1.x1)))(a a))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 122768/12225234. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^c.(^a.a)) d)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 122769/12225360. ------ 1. ==[ start ]==> (((^a.b) c)((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) c)((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (b ((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (b ((a (a a))(a a))) REDUCED to normal form. ------ 122770/12225459. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(a (^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(a (^x1.x1))) 3. ==[ beta ]==> ((^y.y)(a (^x1.x1))) 4. ==[ alpha ]==> ((^x.x)(a (^y.y))) 5. ==[ beta ]==> (a (^y.y)) 6. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 122771/12225594. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122772/12225675. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.x))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> (((a a)(^x.x))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> (((a a)(^x.x))((a a)(a a))) REDUCED to normal form. ------ 122773/12225702. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122774/12225756. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 122775/12225837. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122776/12226071. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(^y.(^z.z))) a)) 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. ------ 122777/12226350. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(a (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (a (^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 122778/12226458. ------ 1. ==[ start ]==> (((^a.a)(b a))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.b)(a (a a)))) 3. ==[ beta ]==> ((b a)((^y.b)(a (a a)))) 4. ==[ alpha ]==> ((b a)((^x.b)(a (a a)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 122779/12226539. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b)(a b))((^y.(y y))(a b))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(a b))) 5. ==[ beta ]==> (((a b)(a b))((a b)(a b))) REDUCED to normal form. ------ 122780/12226620. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.y)(b a))) 3. ==[ beta ]==> (b ((^y.y)(b a))) 4. ==[ alpha ]==> (b ((^x.x)(b a))) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 122781/12226728. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.b)(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 122782/12226962. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))((^b.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((^z.(a a)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))(a a)) REDUCED to normal form. ------ 122783/12227007. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122784/12227106. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(c (^z.(a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(c (^z.(a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(c (^z.(a a)))) 5. ==[ beta ]==> ((a a)(c (^z.(a a)))) 6. ==[ alpha ]==> ((a a)(c (^x.(a a)))) REDUCED to normal form. ------ 122785/12227187. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((^c.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122786/12227295. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122787/12227322. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 122788/12227349. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a b))) 5. ==[ beta ]==> ((^y.a)(a b)) 6. ==[ alpha ]==> ((^x.a)(a b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122789/12227403. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.z)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> (((a a)(a a))((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (((a a)(a a))((a a)(^y.y))) 10. ==[ alpha ]==> (((a a)(a a))((a a)(^x.x))) REDUCED to normal form. ------ 122790/12227484. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> (b ((^x1.b)(^y1.a))) 4. ==[ alpha ]==> (b ((^x.b)(^y.a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122791/12227592. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.a)(^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.a)(^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122792/12227619. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 122793/12227664. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^c.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z)) a)) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 122794/12227691. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(a a)) b)) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(a a)) b)) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(a a)) b)) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 122795/12227718. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.b) c)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.b) c)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.b) c)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.b) c)) 5. ==[ beta ]==> (((a (a a))(a a)) b) REDUCED to normal form. ------ 122796/12227745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.a) d)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.a) d)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.a) d)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.a) d)) 5. ==[ beta ]==> ((a b)((^y.a) d)) 6. ==[ alpha ]==> ((a b)((^x.a) d)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 122797/12227907. ------ 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))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)(^z.z))) REDUCED to normal form. ------ 122798/12227934. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a b)(^y.(^z.z)))) 3. ==[ beta ]==> ((a b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 122799/12227943. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(a (^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 122800/12228105. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.z)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.x)((^y.y)(a a)))) 5. ==[ beta ]==> (b ((^y.y)(a a))) 6. ==[ alpha ]==> (b ((^x.x)(a a))) 7. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122801/12228213. ------ 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.(y2 y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(^x2.x2))(^y2.(y2 y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122802/12228267. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (b ((^y.a)(^z.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122803/12228276. ------ 1. ==[ start ]==> (((a a)(^b.b))(c ((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.x))(c ((a a) a))) REDUCED to normal form. ------ 122804/12228294. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122805/12228303. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))(b (a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(b (a b))) REDUCED to normal form. ------ 122806/12228384. ------ 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. ------ 122807/12228411. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((((a a) a)(^x.b))((^z.z) a)) 6. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y) a)) 7. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 122808/12228438. ------ 1. ==[ start ]==> (((a b)(^c.a))((a (a a))(a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 122809/12228465. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a ((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a ((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))(a (^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))(a (^z.z))) REDUCED to normal form. ------ 122810/12228492. ------ 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. ------ 122811/12228537. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(a (^y1.(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122812/12228609. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a) b)((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a a) b)((^x.x)(^y.a))) 7. ==[ beta ]==> (((a a) b)(^y.a)) 8. ==[ alpha ]==> (((a a) b)(^x.a)) REDUCED to normal form. ------ 122813/12228636. ------ 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.(x1 x1)))) REDUCED to normal form. ------ 122814/12228663. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (b a))(((^y.y) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (b a))(((^x.x) a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (b a))(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a (b a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 122815/12228717. ------ 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)(^x1.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a a)(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))((a a)(^z.b))) 6. ==[ alpha ]==> (((^x.x)(a a))((a a)(^y.b))) 7. ==[ beta ]==> ((a a)((a a)(^y.b))) 8. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 122816/12228744. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a b) a)) REDUCED to normal form. ------ 122817/12228771. ------ 1. ==[ start ]==> (((a b)((a a) a))(((a a) a) b)) REDUCED to normal form. ------ 122818/12228933. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.b) a)) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.b) a)) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 122819/12229104. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(a (^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(a (^z.b))) 3. ==[ beta ]==> (b (a (^z.b))) 4. ==[ alpha ]==> (b (a (^x.b))) REDUCED to normal form. ------ 122820/12229212. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.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. ------ 122821/12229320. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^b.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122822/12229374. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((b a)(b a))((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 122823/12229437. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(a ((a a) a))) REDUCED to normal form. ------ 122824/12229464. ------ 1. ==[ start ]==> (((a b)(^a.b))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((a b)(^x.b))(((^y.y)(^z.z))(a a))) 3. ==[ beta ]==> (((a b)(^x.b))((^z.z)(a a))) 4. ==[ alpha ]==> (((a b)(^x.b))((^y.y)(a a))) 5. ==[ beta ]==> (((a b)(^x.b))(a a)) REDUCED to normal form. ------ 122825/12229518. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 122826/12229563. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(b (^b.(^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. ------ 122827/12229572. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a a)(^x1.x1))) REDUCED to normal form. ------ 122828/12229662. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(a (^y.a))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(a (^x.a))) REDUCED to normal form. ------ 122829/12229689. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 122830/12229716. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 122831/12229743. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y) a)) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x) a)) 5. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 122832/12229770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (a a)) b)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (a a)) b)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a)) b)) 5. ==[ beta ]==> (((a a)(^y.y))((a (a a)) b)) 6. ==[ alpha ]==> (((a a)(^x.x))((a (a a)) b)) REDUCED to normal form. ------ 122833/12229878. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 122834/12229932. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.a) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.a) c)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.a) c)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.a) c)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a) a) REDUCED to normal form. ------ 122835/12230013. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (a a))(^a.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (a a))(^y.y))) REDUCED to normal form. ------ 122836/12230103. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.y1)(a (a a)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.y1)(a (a a)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.x2)(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.x2)(a (a a)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (a a)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122837/12230184. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122838/12230292. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b (^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b (^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122839/12230328. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d a)) 2. ==[ alpha ]==> ((((^x.x) b) c)(d a)) 3. ==[ beta ]==> ((b c)(d a)) REDUCED to normal form. ------ 122840/12230355. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c b)) REDUCED to normal form. ------ 122841/12230400. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((b (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 122842/12230427. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.z))) 5. ==[ beta ]==> ((^y.a)(^z.z)) 6. ==[ alpha ]==> ((^x.a)(^y.y)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122843/12230463. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b (a (^z.z)))) 3. ==[ beta ]==> ((a (^y.y))(b (a (^z.z)))) 4. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 122844/12230481. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)(^z1.a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 122845/12230490. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(a ((^x1.x1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 122846/12230562. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a (^z.a))) 3. ==[ beta ]==> (b (a (^z.a))) 4. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 122847/12230571. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c a)) REDUCED to normal form. ------ 122848/12230598. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b b)) 3. ==[ beta ]==> (((a a)(^y.b))(b b)) 4. ==[ alpha ]==> (((a a)(^x.b))(b b)) REDUCED to normal form. ------ 122849/12230670. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122850/12230679. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(a (a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (a (^x1.x1)))) REDUCED to normal form. ------ 122851/12230706. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(a a))) 3. ==[ beta ]==> ((b (^y.a))((a a)(a a))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(a a))) REDUCED to normal form. ------ 122852/12230733. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b a)) REDUCED to normal form. ------ 122853/12230796. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(b (^x.x))) a) REDUCED to normal form. ------ 122854/12230822. ------ 1. ==[ start ]==> (^a.((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (^x.((x (^y.y))((x x)(x x)))) REDUCED to normal form. ------ 122855/12230823. ------ 1. ==[ start ]==> (a ((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (a ((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 122856/12232716. ------ 1. ==[ start ]==> ((^a.(a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.((y y)(y y)))) 3. ==[ beta ]==> ((^y.((y y)(y y))) b) 4. ==[ alpha ]==> ((^x.((x x)(x x))) b) 5. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 122857/12237495. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(y b))) 3. ==[ beta ]==> (((^y.(y b))(^y.(y b)))((^y.(y b))(^y.(y b)))) 4. ==[ alpha ]==> (((^x.(x b))(^y.(y b)))((^z.(z b))(^x1.(x1 b)))) 5. ==[ beta ]==> (((^y.(y b)) b)((^z.(z b))(^x1.(x1 b)))) 6. ==[ alpha ]==> (((^x.(x b)) b)((^y.(y b))(^z.(z b)))) 7. ==[ beta ]==> ((b b)((^y.(y b))(^z.(z b)))) 8. ==[ alpha ]==> ((b b)((^x.(x b))(^y.(y b)))) 9. ==[ beta ]==> ((b b)((^y.(y b)) b)) 10. ==[ alpha ]==> ((b b)((^x.(x b)) b)) 11. ==[ beta ]==> ((b b)(b b)) REDUCED to normal form. ------ 122858/12239388. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a))) a) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 122859/12239394. ------ 1. ==[ start ]==> ((^a.a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.x)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((a a)(a a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(a a))) REDUCED to normal form. ------ 122860/12239421. ------ 1. ==[ start ]==> ((^a.(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(x x))((a a)(b (^y.y)))) 3. ==[ beta ]==> (((a a)(b (^y.y)))((a a)(b (^y.y)))) 4. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(b (^y.y)))) REDUCED to normal form. ------ 122861/12239484. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122862/12239646. ------ 1. ==[ start ]==> ((^a.(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((a b)(^z.(a a)))) 3. ==[ beta ]==> (^y.((a b)(^z.(a a)))) 4. ==[ alpha ]==> (^x.((a b)(^y.(a a)))) REDUCED to normal form. ------ 122863/12239820. ------ 1. ==[ start ]==> (((a a)(^b.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 122864/12239889. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((^z.z) b) c)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 122865/12240339. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122866/12240927. ------ 1. ==[ start ]==> ((((a a) a) a)(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 122867/12241278. ------ 1. ==[ start ]==> (((^a.b) a)(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 122868/12241284. ------ 1. ==[ start ]==> ((^a.(a b))(a ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(a ((a a)(a a)))) 3. ==[ beta ]==> ((a ((a a)(a a))) b) REDUCED to normal form. ------ 122869/12241287. ------ 1. ==[ start ]==> ((a (a b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.((x x)(x x)))) REDUCED to normal form. ------ 122870/12241671. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.(((a (^z.(^x1.x1)))(^y1.(^z1.z1)))((a (^z.(^x1.x1)))(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (^x.(((a (^y.(^z.z)))(^x1.(^y1.y1)))((a (^z1.(^x2.x2)))(^y2.(^z2.z2))))) REDUCED to normal form. ------ 122871/12242277. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(^b.(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 122872/12242553. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (^z.z))(b a))) 3. ==[ beta ]==> ((((a (^z.z))(b a))((a (^z.z))(b a)))(^y.y)) 4. ==[ alpha ]==> ((((a (^x.x))(b a))((a (^y.y))(b a)))(^z.z)) REDUCED to normal form. ------ 122873/12243204. ------ 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. ------ 122874/12243309. ------ 1. ==[ start ]==> ((^a.(b a))((a b)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b x))((a b)(a (a a)))) 3. ==[ eta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 122875/12243753. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(^c.(^d.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. ------ 122876/12243762. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^b.(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(y a))) REDUCED to normal form. ------ 122877/12244041. ------ 1. ==[ start ]==> (((a b)(a (a a)))(^a.(b a))) 2. ==[ alpha ]==> (((a b)(a (a a)))(^x.(b x))) 3. ==[ eta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 122878/12244146. ------ 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 ]==> ((((a a) a)(a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 122879/12244545. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.((a a)(^z.z)))) REDUCED to normal form. ------ 122880/12244797. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 122881/12245031. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122882/12245238. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(^c.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (b (^z.(^x1.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 122883/12245679. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(^y1.(^z1.(y1 y1)))) REDUCED to normal form. ------ 122884/12246063. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(a (a b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(a (a b))) 3. ==[ beta ]==> (((a (a b))(a (a b)))((a (a b))(a (a b)))) REDUCED to normal form. ------ 122885/12246066. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^a.(a b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(x b))) REDUCED to normal form. ------ 122886/12246408. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(^b.((a a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(^x.((a a) a))) REDUCED to normal form. ------ 122887/12246570. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 122888/12246732. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^a.(^c.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. ------ 122889/12247011. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 122890/12247461. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.(z z)))) 3. ==[ beta ]==> ((b c)(^y.(^z.(z z)))) 4. ==[ alpha ]==> ((b c)(^x.(^y.(y y)))) REDUCED to normal form. ------ 122891/12247533. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.a))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 122892/12247623. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.(^y1.a))) REDUCED to normal form. ------ 122893/12247695. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.c)) 3. ==[ beta ]==> (b (^z.c)) 4. ==[ alpha ]==> (b (^x.c)) REDUCED to normal form. ------ 122894/12247704. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.y))) REDUCED to normal form. ------ 122895/12247812. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.(^z1.z1)))) REDUCED to normal form. ------ 122896/12247866. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 122897/12247929. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(y y))) REDUCED to normal form. ------ 122898/12247956. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 122899/12247968. ------ 1. ==[ start ]==> ((a a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 122900/12247995. ------ 1. ==[ start ]==> ((a (a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (a a))((a a)(b (^x.x)))) REDUCED to normal form. ------ 122901/12248031. ------ 1. ==[ start ]==> (((^a.a)(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(a a))((b (^y.y))(^z.z))) 3. ==[ beta ]==> ((a a)((b (^y.y))(^z.z))) 4. ==[ alpha ]==> ((a a)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 122902/12248058. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a)(a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 122903/12248067. ------ 1. ==[ start ]==> (((^a.a) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((^y.(a a))(a (^z.z)))) 3. ==[ beta ]==> (b ((^y.(a a))(a (^z.z)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (^y.y)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 122904/12248094. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 122905/12248112. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122906/12248121. ------ 1. ==[ start ]==> (((a a) b)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(^y.(^z.z)))(a (a a)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.y))) REDUCED to normal form. ------ 122907/12248139. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((b a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 122908/12248193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 122909/12248202. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 122910/12248220. ------ 1. ==[ start ]==> ((a (^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a (^x.a))((a b)(^y.(a a)))) REDUCED to normal form. ------ 122911/12248256. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.a)((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.a)((a a)(^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122912/12248301. ------ 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 REDUCED to normal form. ------ 122913/12248328. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) a)(^z1.z1))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) a)(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 122914/12248337. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 122915/12248364. ------ 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)))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 122916/12248391. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a)(^x.a))(b (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(b (^y.y))) REDUCED to normal form. ------ 122917/12248409. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((b (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.y)((b (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.x)((b (^y.y)) a)) 5. ==[ beta ]==> ((b (^y.y)) a) 6. ==[ alpha ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 122918/12248463. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (^x.(x x)))(b c)) REDUCED to normal form. ------ 122919/12248634. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 122920/12248688. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(^x.(x x)))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 122921/12248715. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.x1))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 122922/12248805. ------ 1. ==[ start ]==> (((a a)(a (a a)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 122923/12248832. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) a)(b (a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) a)(b (a (^y.y)))) REDUCED to normal form. ------ 122924/12248859. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.y)))((a (^z.(^x1.x1)))((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.x)))((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 122925/12248886. ------ 1. ==[ start ]==> (((a (a a))(a a))((b a)(a (a a)))) REDUCED to normal form. ------ 122926/12248913. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(((a a)(^y.y))(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.z))) REDUCED to normal form. ------ 122927/12249120. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(b (^z.(a a)))) 3. ==[ beta ]==> ((a (^y.a))(b (^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.a))(b (^y.(a a)))) REDUCED to normal form. ------ 122928/12249381. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 122929/12249435. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (a (((^z.z) a)(^x1.(^y1.(^z1.z1))))) 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. ------ 122930/12249471. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) b))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122931/12249498. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.x)((a a)(a a)))) 3. ==[ beta ]==> ((((a a) a) a)((a a)(a a))) REDUCED to normal form. ------ 122932/12249516. ------ 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. ------ 122933/12249543. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((^y1.y1) b) b)) 3. ==[ beta ]==> ((^y.y)(((^y1.y1) b) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b) b)) 5. ==[ beta ]==> (((^y.y) b) b) 6. ==[ alpha ]==> (((^x.x) b) b) 7. ==[ beta ]==> (b b) REDUCED to normal form. ------ 122934/12249552. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 122935/12249579. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.(^x1.x1)))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 122936/12249660. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.x))(a a)) REDUCED to normal form. ------ 122937/12249831. ------ 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. ------ 122938/12249849. ------ 1. ==[ start ]==> (((^a.b) a)((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b) a)((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 122939/12249858. ------ 1. ==[ start ]==> ((a (a b))(a ((a a)(a a)))) REDUCED to normal form. ------ 122940/12249867. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^c.(a a)) a)) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(a a)) a)) 3. ==[ beta ]==> ((^y.b)((^z.(a a)) a)) 4. ==[ alpha ]==> ((^x.b)((^y.(a a)) a)) 5. ==[ beta ]==> b REDUCED to normal form. ------ 122941/12250173. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(b (^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(b (^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.a))(b (^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(b (^z.z))) 5. ==[ beta ]==> ((^y.a)(b (^z.z))) 6. ==[ alpha ]==> ((^x.a)(b (^y.y))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 122942/12250218. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (b (((^y.y) b)(^z.z))) 4. ==[ alpha ]==> (b (((^x.x) b)(^y.y))) 5. ==[ beta ]==> (b (b (^y.y))) 6. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 122943/12250227. ------ 1. ==[ start ]==> (((a b)(^a.a))((^b.b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a a))) 3. ==[ beta ]==> (((a b)(^x.x))(a a)) REDUCED to normal form. ------ 122944/12250245. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 122945/12250416. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 122946/12250488. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 122947/12250542. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1) b) a)) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) a)) 5. ==[ beta ]==> ((^y.y)(((^y1.y1) b) a)) 6. ==[ alpha ]==> ((^x.x)(((^y.y) b) a)) 7. ==[ beta ]==> (((^y.y) b) a) 8. ==[ alpha ]==> (((^x.x) b) a) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 122948/12250632. ------ 1. ==[ start ]==> (((a b) b)((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.y))(^z.(z z)))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 122949/12250659. ------ 1. ==[ start ]==> ((((^a.a)(a a)) a)((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) a)((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a) a)((^y.(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a) a)((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 122950/12250686. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.b)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.(a a))) b) REDUCED to normal form. ------ 122951/12250713. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) a) REDUCED to normal form. ------ 122952/12250767. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122953/12250821. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 122954/12250848. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122955/12250911. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((b a)(a (^y.y)))) 3. ==[ beta ]==> (((a a)(a a))((b a)(a (^y.y)))) 4. ==[ alpha ]==> (((a a)(a a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 122956/12250938. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(((a a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(((a a)(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x))(a b))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 122957/12250965. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((a ((a a) a))(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((a ((a a) a))(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((a ((a a) a))((a a)(a (a a)))) REDUCED to normal form. ------ 122958/12250992. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a b)(^z.z))) 6. ==[ alpha ]==> (((a (a a))(^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 122959/12251019. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((a a) a)((a a) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a) a)((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a) a)((a a) a))) 5. ==[ beta ]==> ((a (a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 122960/12251046. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> ((((a a) a) a)((^y.y)(a b))) 6. ==[ alpha ]==> ((((a a) a) a)((^x.x)(a b))) 7. ==[ beta ]==> ((((a a) a) a)(a b)) REDUCED to normal form. ------ 122961/12251073. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 122962/12251100. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)((a a)(^y.y)))) 5. ==[ beta ]==> (((a a)(a a))(a ((a a)(^y.y)))) 6. ==[ alpha ]==> (((a a)(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 122963/12251127. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (^y.y))(b a))) REDUCED to normal form. ------ 122964/12251298. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 122965/12251307. ------ 1. ==[ start ]==> (((a b) c)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) c) b) REDUCED to normal form. ------ 122966/12251334. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.a)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.a)((a a) a))) 3. ==[ beta ]==> (((a a) b)((^y.a)((a a) a))) 4. ==[ alpha ]==> (((a a) b)((^x.a)((a a) a))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 122967/12251361. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(^y.y)) REDUCED to normal form. ------ 122968/12251379. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 122969/12251415. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 122970/12251442. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 122971/12251460. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 122972/12251496. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.y2))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.z1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122973/12251541. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(((a a)(^z.z)) c)) 3. ==[ beta ]==> (b (((a a)(^z.z)) c)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) c)) REDUCED to normal form. ------ 122974/12251550. ------ 1. ==[ start ]==> (((a b)(^b.a))((^c.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 122975/12251577. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(a a))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(a a))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 122976/12251604. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) b) REDUCED to normal form. ------ 122977/12251748. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))(b (b a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))(b (b a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(b (b a))) 5. ==[ beta ]==> (((^y.y)(^z.z))(b (b a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(b (b a))) 7. ==[ beta ]==> ((^y.y)(b (b a))) 8. ==[ alpha ]==> ((^x.x)(b (b a))) 9. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 122978/12251775. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 122979/12251802. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((b a)(a a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((b a)(a a))) 3. ==[ beta ]==> (((a b) a)((b a)(a a))) REDUCED to normal form. ------ 122980/12251829. ------ 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 a)(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(((a a)(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(((a a)(^y.y))(a (^z.z)))) REDUCED to normal form. ------ 122981/12251856. ------ 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.z) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))((a a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(a a))((a a) a)) REDUCED to normal form. ------ 122982/12251883. ------ 1. ==[ start ]==> ((a (b a))((a b)(a (a a)))) REDUCED to normal form. ------ 122983/12252117. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) b)(^z.z)) 4. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.y)) REDUCED to normal form. ------ 122984/12252162. ------ 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. ------ 122985/12252189. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a 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. ------ 122986/12252225. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(^z.z)) 6. ==[ alpha ]==> ((a (^x.(a a)))(^y.y)) REDUCED to normal form. ------ 122987/12252243. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a (a a))(^y.b))) 3. ==[ beta ]==> (((a b)(a b))((a (a a))(^y.b))) 4. ==[ alpha ]==> (((a b)(a b))((a (a a))(^x.b))) REDUCED to normal form. ------ 122988/12252252. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a (a a))(^x.b))((a b)(a b))) REDUCED to normal form. ------ 122989/12252306. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 122990/12252333. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.a)(b a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.y)(b a))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(b a)) REDUCED to normal form. ------ 122991/12252585. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))(b ((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))(b ((a a)(^y.y)))) REDUCED to normal form. ------ 122992/12252612. ------ 1. ==[ start ]==> (((a b)(a (a a)))(a (b a))) REDUCED to normal form. ------ 122993/12252639. ------ 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))(a a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(((a a)(^z.z))(a a))) 4. ==[ alpha ]==> (((a a)((^x.x) 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))) REDUCED to normal form. ------ 122994/12252666. ------ 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)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))((a a)(a (^z.z)))) REDUCED to normal form. ------ 122995/12252720. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a) a)(a (a a)))) REDUCED to normal form. ------ 122996/12252891. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((a a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((a a)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (b (((a a)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 122997/12252999. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 122998/12253008. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 122999/12253035. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(x1 x1))((a a) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)((a a) a))) REDUCED to normal form. ------ 123000/12253053. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.b))) 5. ==[ beta ]==> (((^y.y) a)(^z.b)) 6. ==[ alpha ]==> (((^x.x) a)(^y.b)) 7. ==[ beta ]==> (a (^y.b)) 8. ==[ alpha ]==> (a (^x.b)) REDUCED to normal form. ------ 123001/12253116. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.y)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))((a a)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 123002/12253143. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123003/12253188. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a b) c)) 3. ==[ beta ]==> (b ((a b) c)) REDUCED to normal form. ------ 123004/12253197. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a b)(^x.(^y.y))) b) REDUCED to normal form. ------ 123005/12253251. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(^z.z)) REDUCED to normal form. ------ 123006/12253305. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.a)(^y1.b))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z)) a) REDUCED to normal form. ------ 123007/12253341. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(b ((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(b (a a))) REDUCED to normal form. ------ 123008/12253368. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 123009/12253395. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))((a a)(a a))) REDUCED to normal form. ------ 123010/12253422. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((a b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))((a b)(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 123011/12253449. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((^y.y)(a b))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> ((a b)(((a a) a)((^y.y) a))) 6. ==[ alpha ]==> ((a b)(((a a) a)((^x.x) a))) 7. ==[ beta ]==> ((a b)(((a a) a) a)) REDUCED to normal form. ------ 123012/12253476. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.y)(a (a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.x)(a (a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(a (a a))) REDUCED to normal form. ------ 123013/12253503. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^y.y))((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(^x.x))((a (a a))(^z.z))) 6. ==[ alpha ]==> (((a b)(^x.x))((a (a a))(^y.y))) REDUCED to normal form. ------ 123014/12253530. ------ 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 a) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y) a)((a a) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x) a)((a a) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(a ((a a) a))) REDUCED to normal form. ------ 123015/12253557. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))((a (^z.z))(a b))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (^y.y))(a b))) REDUCED to normal form. ------ 123016/12253602. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(a (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123017/12253647. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 123018/12253674. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))(((a a) a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))(((a a) a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 123019/12253809. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a a)(^z.(a a)))) 3. ==[ beta ]==> (b ((a a)(^z.(a a)))) 4. ==[ alpha ]==> (b ((a a)(^x.(a a)))) REDUCED to normal form. ------ 123020/12253926. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) b)(^z.z)) REDUCED to normal form. ------ 123021/12253953. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((b a)(^y.y)) 8. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 123022/12253980. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 123023/12254007. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.b))) 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. ------ 123024/12254052. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(a a)) a)) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(a a)) a)) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(a a)) a)) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 123025/12254250. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.(a a)))) REDUCED to normal form. ------ 123026/12254277. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((^z.b)(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.b)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.b)(a a))) 5. ==[ beta ]==> ((b (^x.x)) b) REDUCED to normal form. ------ 123027/12254610. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(b ((a a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(b ((a a) a))) 3. ==[ beta ]==> ((b (a a))(b ((a a) a))) REDUCED to normal form. ------ 123028/12254637. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(a (a b))) REDUCED to normal form. ------ 123029/12254673. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^c.a) b)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.a) b)) 3. ==[ beta ]==> ((^y.y)((^x1.a) b)) 4. ==[ alpha ]==> ((^x.x)((^y.a) b)) 5. ==[ beta ]==> ((^y.a) b) 6. ==[ alpha ]==> ((^x.a) b) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123030/12254916. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1) a)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123031/12254952. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b b)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b b)((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b b)(^y.y)) 6. ==[ alpha ]==> ((b b)(^x.x)) REDUCED to normal form. ------ 123032/12254979. ------ 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. ------ 123033/12254997. ------ 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. ------ 123034/12255024. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((^x1.x1)(^y1.y1)) b)) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1)) b)) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z)) b)) 5. ==[ beta ]==> (((^y.y)(^z.z)) b) 6. ==[ alpha ]==> (((^x.x)(^y.y)) b) 7. ==[ beta ]==> ((^y.y) b) 8. ==[ alpha ]==> ((^x.x) b) 9. ==[ beta ]==> b REDUCED to normal form. ------ 123035/12255033. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^b.(^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. ------ 123036/12255060. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^y1.(y1 y1))(^z1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(x1 x1))(^y1.a))) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.a)(^y1.a))) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.a)(^y1.a))) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 123037/12255141. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.a)(^c.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. ------ 123038/12255159. ------ 1. ==[ start ]==> (((^a.b)(a b))((^c.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. ------ 123039/12255276. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(b (^x1.(^y1.y1)))) REDUCED to normal form. ------ 123040/12255303. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(a (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(a (^x1.a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(a (^x1.a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(a (^z.a))) REDUCED to normal form. ------ 123041/12255330. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.(^z.z))(a a))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 123042/12255393. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(c d)) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(c d)) 3. ==[ beta ]==> (((a (^x.x)) b)(c d)) REDUCED to normal form. ------ 123043/12255528. ------ 1. ==[ start ]==> (((a b)(a b))(c ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(a b))(c ((^x.x) a))) 3. ==[ beta ]==> (((a b)(a b))(c a)) REDUCED to normal form. ------ 123044/12255555. ------ 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. ------ 123045/12255582. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(a (^z.z))) REDUCED to normal form. ------ 123046/12255636. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(((^x1.x1) a)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(((^x1.x1) a)(a (^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((^z.z) 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. ------ 123047/12255663. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (^y.y))((^z.z) a))) 5. ==[ beta ]==> ((b (a (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 123048/12255690. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a a)(a (a a)))) REDUCED to normal form. ------ 123049/12255807. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a a)(^x2.(x2 x2)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x2.(x2 x2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(z z)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123050/12255888. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (^a.a)) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (^z.z)) c)) 3. ==[ beta ]==> (b ((a (^z.z)) c)) 4. ==[ alpha ]==> (b ((a (^x.x)) c)) REDUCED to normal form. ------ 123051/12256032. ------ 1. ==[ start ]==> ((((^a.a) b) c)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(a (^y.(y y)))) 3. ==[ beta ]==> ((b c)(a (^y.(y y)))) 4. ==[ alpha ]==> ((b c)(a (^x.(x x)))) REDUCED to normal form. ------ 123052/12256059. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a)(a a))) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 123053/12256104. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)(^z.a))) 3. ==[ beta ]==> ((b (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 123054/12256131. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a) a)) 3. ==[ beta ]==> ((^y.y)(((^z.z) a) a)) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a) a)) 5. ==[ beta ]==> (((^y.y) a) a) 6. ==[ alpha ]==> (((^x.x) a) a) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123055/12256167. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 123056/12256194. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 123057/12256266. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z) c)) 3. ==[ beta ]==> (b ((^z.z) c)) 4. ==[ alpha ]==> (b ((^x.x) c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 123058/12256275. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a (^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a (^y.a))) REDUCED to normal form. ------ 123059/12256302. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 123060/12256374. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123061/12256383. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.(^z1.z1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(^y1.y1))) REDUCED to normal form. ------ 123062/12256410. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (^z.z))) 3. ==[ beta ]==> ((b (^y.a))(b (^z.z))) 4. ==[ alpha ]==> ((b (^x.a))(b (^y.y))) REDUCED to normal form. ------ 123063/12256437. ------ 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)))) REDUCED to normal form. ------ 123064/12256500. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (a a))) REDUCED to normal form. ------ 123065/12256527. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 123066/12257358. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(b (^y1.y1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123067/12258429. ------ 1. ==[ start ]==> ((^a.(a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))(^y.(^z.(a a)))) 3. ==[ beta ]==> ((^y.(^z.(a a))) b) 4. ==[ alpha ]==> ((^x.(^y.(a a))) b) 5. ==[ beta ]==> (^y.(a a)) 6. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 123068/12263208. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(^y.(^z.y))) 3. ==[ beta ]==> (((^y.(^z.y))(^y.(^z.y)))((^y.(^z.y))(^y.(^z.y)))) 4. ==[ alpha ]==> (((^x.(^y.x))(^z.(^x1.z)))((^y1.(^z1.y1))(^x2.(^y2.x2)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.z)))((^y1.(^z1.y1))(^x2.(^y2.x2)))) 6. ==[ alpha ]==> ((^x.(^y.(^z.y)))((^x1.(^y1.x1))(^z1.(^x2.z1)))) 7. ==[ beta ]==> (^y.(^z.y)) 8. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 123069/12264288. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123070/12265101. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a))) b) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a))) b) REDUCED to normal form. ------ 123071/12265125. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))((a a)(a a)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123072/12265251. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((^z.z)((^x1.x1) a))(^y.y)) 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. ------ 123073/12265440. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(^x1.x1))(b a))) 3. ==[ eta ]==> ((^y.y)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123074/12265542. ------ 1. ==[ start ]==> (((a a)(^b.a))(^c.(^d.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123075/12265935. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123076/12265938. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(b (^x1.x1)))) REDUCED to normal form. ------ 123077/12266493. ------ 1. ==[ start ]==> ((^a.((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.b)(a b))) 3. ==[ beta ]==> ((((^y.b)(a b))((^y.b)(a b)))((^y.b)(a b))) 4. ==[ alpha ]==> ((((^x.b)(a b))((^y.b)(a b)))((^z.b)(a b))) 5. ==[ beta ]==> ((b ((^y.b)(a b)))((^z.b)(a b))) 6. ==[ alpha ]==> ((b ((^x.b)(a b)))((^y.b)(a b))) 7. ==[ beta ]==> ((b b)((^y.b)(a b))) 8. ==[ alpha ]==> ((b b)((^x.b)(a b))) 9. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 123078/12267006. ------ 1. ==[ start ]==> ((^a.(a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(x b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a))) b) 4. ==[ alpha ]==> (((^x.x)(^y.(a a))) b) 5. ==[ beta ]==> ((^y.(a a)) b) 6. ==[ alpha ]==> ((^x.(a a)) b) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123079/12267009. ------ 1. ==[ start ]==> ((a (a b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))(^x.(^y.(a a)))) REDUCED to normal form. ------ 123080/12267018. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((z z)(z z)))) 3. ==[ beta ]==> ((^y.b)(^z.((z z)(z z)))) 4. ==[ alpha ]==> ((^x.b)(^y.((y y)(y y)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123081/12267600. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((^z.(z z))((a a)(^x1.x1)))((^z.(z z))((a a)(^x1.x1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(y y))((a a)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1))))) 5. ==[ beta ]==> (((^y.(y y))((a a)(^z.z)))((^x1.(x1 x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 7. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 8. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(z z))((a a)(^x1.x1)))) 9. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^x1.x1))((a a)(^x1.x1)))) 10. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(((a a)(^z.z))((a a)(^x1.x1)))) REDUCED to normal form. ------ 123082/12268314. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(^c.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(^x1.(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(^x1.(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(^y.(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (^y.(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (^x.(a (^y.(^z.z)))) REDUCED to normal form. ------ 123083/12268926. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 123084/12269205. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(^c.(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(^z.(b a))) 3. ==[ beta ]==> (b (^z.(b a))) 4. ==[ alpha ]==> (b (^x.(b a))) REDUCED to normal form. ------ 123085/12269484. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(^c.(^d.a))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.(^z.a))) REDUCED to normal form. ------ 123086/12270267. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123087/12270471. ------ 1. ==[ start ]==> ((^a.(^b.b))(c (a b))) 2. ==[ alpha ]==> ((^x.(^y.y))(c (a b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123088/12270519. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123089/12270786. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123090/12271203. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 123091/12271599. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^b.(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(a x))) 3. ==[ eta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 123092/12271785. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.y)(^z.b))) 3. ==[ beta ]==> ((((^y.y)(^z.b))((^y.y)(^z.b)))(((^y.y)(^z.b))((^y.y)(^z.b)))) 4. ==[ alpha ]==> ((((^x.x)(^y.b))((^z.z)(^x1.b)))(((^y1.y1)(^z1.b))((^x2.x2)(^y2.b)))) 5. ==[ beta ]==> (((^y.b)((^z.z)(^x1.b)))(((^y1.y1)(^z1.b))((^x2.x2)(^y2.b)))) 6. ==[ alpha ]==> (((^x.b)((^y.y)(^z.b)))(((^x1.x1)(^y1.b))((^z1.z1)(^x2.b)))) 7. ==[ beta ]==> (b (((^x1.x1)(^y1.b))((^z1.z1)(^x2.b)))) 8. ==[ alpha ]==> (b (((^x.x)(^y.b))((^z.z)(^x1.b)))) 9. ==[ beta ]==> (b ((^y.b)((^z.z)(^x1.b)))) 10. ==[ alpha ]==> (b ((^x.b)((^y.y)(^z.b)))) 11. ==[ beta ]==> (b b) REDUCED to normal form. ------ 123093/12271788. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(^b.(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))(^x.(^y.x))) REDUCED to normal form. ------ 123094/12271959. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(^c.((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. ------ 123095/12272310. ------ 1. ==[ start ]==> (((^a.b)(a b))(^a.((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(^y.((y y) y))) 3. ==[ beta ]==> (b (^y.((y y) y))) 4. ==[ alpha ]==> (b (^x.((x x) x))) REDUCED to normal form. ------ 123096/12272598. ------ 1. ==[ start ]==> (((a (a a))(b a))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))(^x.(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.y))) REDUCED to normal form. ------ 123097/12272733. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 123098/12272865. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123099/12272868. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123100/12273183. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^b.d)) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.d)) 3. ==[ beta ]==> ((b c)(^y.d)) 4. ==[ alpha ]==> ((b c)(^x.d)) REDUCED to normal form. ------ 123101/12273417. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (b (^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (b (^x.(a (^y.y)))) REDUCED to normal form. ------ 123102/12273426. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.c)) REDUCED to normal form. ------ 123103/12273588. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123104/12273651. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 123105/12273678. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 123106/12273708. ------ 1. ==[ start ]==> ((a (^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 123107/12273735. ------ 1. ==[ start ]==> (((^a.a)(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 123108/12273771. ------ 1. ==[ start ]==> (((a a)(^a.a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 123109/12273798. ------ 1. ==[ start ]==> (((^a.a) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(((a a)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (b (((a a)(a a))(^y.(^z.z)))) 4. ==[ alpha ]==> (b (((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 123110/12273825. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 123111/12273834. ------ 1. ==[ start ]==> ((a (a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((^y.y)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.x)))((^z.z) a)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) a)) 5. ==[ beta ]==> ((a (a (^x.x))) a) REDUCED to normal form. ------ 123112/12273852. ------ 1. ==[ start ]==> (((a a) b)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a) b)((a (^x.(^y.y)))(^z.(z z)))) REDUCED to normal form. ------ 123113/12273879. ------ 1. ==[ start ]==> (((a (^a.a)) a)((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 123114/12273933. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.b))) REDUCED to normal form. ------ 123115/12273969. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.x))) b) REDUCED to normal form. ------ 123116/12273987. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a a) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a a) a)(^x.(^y.y))) REDUCED to normal form. ------ 123117/12274023. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 123118/12274068. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) 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. ------ 123119/12274149. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((b (^x1.x1)) a)) REDUCED to normal form. ------ 123120/12274176. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((a a)(a a)) b)) 3. ==[ beta ]==> ((a (^y.y))(((a a)(a a)) b)) 4. ==[ alpha ]==> ((a (^x.x))(((a a)(a a)) b)) REDUCED to normal form. ------ 123121/12274212. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a a) a)((^y.y)(^z.a))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(^y.a))) 5. ==[ beta ]==> (((a a) a)(^y.a)) 6. ==[ alpha ]==> (((a a) a)(^x.a)) REDUCED to normal form. ------ 123122/12274239. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 123123/12274491. ------ 1. ==[ start ]==> (((^a.(a a))(a a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a a)(a a))(b ((a a)(a a)))) REDUCED to normal form. ------ 123124/12274518. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(a (b (^z.z)))) REDUCED to normal form. ------ 123125/12274653. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123126/12274680. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 6. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 7. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 123127/12274734. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 123128/12274788. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a (a a))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (a a))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (a a))(b a))) 5. ==[ beta ]==> ((^y.y)((a (a a))(b a))) 6. ==[ alpha ]==> ((^x.x)((a (a a))(b a))) 7. ==[ beta ]==> ((a (a a))(b a)) REDUCED to normal form. ------ 123129/12274815. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 7. ==[ beta ]==> (a (a (^y.(^z.z)))) 8. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 123130/12274869. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 123131/12274905. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((a a)(a a))(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a)(a a))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a)(a a))(^z.z))) 5. ==[ beta ]==> ((^y.y)(((a a)(a a))(^z.z))) 6. ==[ alpha ]==> ((^x.x)(((a a)(a a))(^y.y))) 7. ==[ beta ]==> (((a a)(a a))(^y.y)) 8. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 123132/12274941. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> (((a a)(^x.x))(a (^z.z))) 6. ==[ alpha ]==> (((a a)(^x.x))(a (^y.y))) REDUCED to normal form. ------ 123133/12274968. ------ 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)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(^y.(^z.z))) REDUCED to normal form. ------ 123134/12275049. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))((a a) a))) 5. ==[ beta ]==> ((a a)((^y.(a a))((a a) a))) 6. ==[ alpha ]==> ((a a)((^x.(a a))((a a) a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 123135/12275076. ------ 1. ==[ start ]==> ((a ((a a) a))((^a.b)(a b))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.b)(a b))) 3. ==[ beta ]==> ((a ((a a) a)) b) REDUCED to normal form. ------ 123136/12275202. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.y) b)((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) b)((a (^y.y))(^z.z))) 5. ==[ beta ]==> (b ((a (^y.y))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 123137/12275283. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^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. ------ 123138/12275427. ------ 1. ==[ start ]==> (((a a)((a a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.b)(^y.b))) 3. ==[ beta ]==> (((a a)((a a) a)) b) REDUCED to normal form. ------ 123139/12275481. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (a (a a)))(^y.y)) 6. ==[ alpha ]==> ((a (a (a a)))(^x.x)) REDUCED to normal form. ------ 123140/12275535. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 123141/12275562. ------ 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. ------ 123142/12275589. ------ 1. ==[ start ]==> ((a (a b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> ((a (a b))((^x.x)(^y.(a a)))) 3. ==[ beta ]==> ((a (a b))(^y.(a a))) 4. ==[ alpha ]==> ((a (a b))(^x.(a a))) REDUCED to normal form. ------ 123143/12275598. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(a ((a a)(a a)))) 3. ==[ beta ]==> ((^y.b)(a ((a a)(a a)))) 4. ==[ alpha ]==> ((^x.b)(a ((a a)(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123144/12275679. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)((^z.z) a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((b a)((^z.z) a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((b a)((^z.z) a))) IRREDUCIBLE: cycle. ------ 123145/12275760. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((a b)((a a) a))) 3. ==[ beta ]==> (b ((a b)((a a) a))) REDUCED to normal form. ------ 123146/12275787. ------ 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. ------ 123147/12275814. ------ 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. ------ 123148/12275868. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y) a)(b a))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x) a)(b a))) 5. ==[ beta ]==> (((a (a a))(a (a a)))(a (b a))) REDUCED to normal form. ------ 123149/12275958. ------ 1. ==[ start ]==> (((a b)(^a.a))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.x))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> (((a b)(^x.x))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 123150/12275994. ------ 1. ==[ start ]==> (((a a)(a b))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((^x.(^y.(^z.z)))(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(a b))(^y.(^z.z))) 4. ==[ alpha ]==> (((a a)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 123151/12276075. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 123152/12276102. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.b)((a a) a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.b)((a a) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.b)((a a) a))) 5. ==[ beta ]==> (((^y.y) a)((^z.b)((a a) a))) 6. ==[ alpha ]==> (((^x.x) a)((^y.b)((a a) a))) 7. ==[ beta ]==> (a ((^y.b)((a a) a))) 8. ==[ alpha ]==> (a ((^x.b)((a a) a))) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 123153/12276147. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (b ((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> (b ((^x.x)(^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 123154/12276156. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(^y.y))((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(a a))(^y.y)) 4. ==[ alpha ]==> (((a b)(a a))(^x.x)) REDUCED to normal form. ------ 123155/12276183. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(y y))((a a)(^z.z)))) 3. ==[ beta ]==> ((a (a a))((^y.(y y))((a a)(^z.z)))) 4. ==[ alpha ]==> ((a (a a))((^x.(x x))((a a)(^y.y)))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((a a)(^y.y)))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 123156/12276570. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b (b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (b (a (^x.(^y.y))))) REDUCED to normal form. ------ 123157/12276606. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^b.b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z) a)) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z) a)) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 5. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 123158/12276894. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((^y.y)((a a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((^x.x)((a a)(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 6. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 123159/12277038. ------ 1. ==[ start ]==> (((a b) c)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 123160/12277065. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a) a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a) a)(^y.a))) 3. ==[ beta ]==> (((a a) b)(((a a) a)(^y.a))) 4. ==[ alpha ]==> (((a a) b)(((a a) a)(^x.a))) REDUCED to normal form. ------ 123161/12277092. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(^x1.b))) 3. ==[ beta ]==> ((((a a)(^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. ------ 123162/12277146. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(a (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 123163/12277227. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a (^y1.(^z1.z1))) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1))) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1))) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123164/12277254. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((b a) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((b a) b)) REDUCED to normal form. ------ 123165/12277281. ------ 1. ==[ start ]==> (((a b)(^b.a))(((a a)(^a.a)) c)) 2. ==[ alpha ]==> (((a b)(^x.a))(((a a)(^y.y)) c)) REDUCED to normal form. ------ 123166/12277398. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(a a))(^z.z)) 6. ==[ alpha ]==> (((a (^x.x))(a a))(^y.y)) REDUCED to normal form. ------ 123167/12277425. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(y y))(^z.(a a)))) 3. ==[ beta ]==> ((a (a b))((^y.(y y))(^z.(a a)))) 4. ==[ alpha ]==> ((a (a b))((^x.(x x))(^y.(a a)))) 5. ==[ beta ]==> ((a (a b))((^y.(a a))(^y.(a a)))) 6. ==[ alpha ]==> ((a (a b))((^x.(a a))(^y.(a a)))) 7. ==[ beta ]==> ((a (a b))(a a)) REDUCED to normal form. ------ 123168/12277452. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.a)(^c.(^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. ------ 123169/12277506. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.x)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123170/12277704. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a (a a))(a b))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a (a a))(a b))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))(a b))) 5. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 123171/12277785. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a a)(b a))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a a)(b a))) 3. ==[ beta ]==> (b ((a a)(b a))) REDUCED to normal form. ------ 123172/12277848. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 123173/12277956. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (^x.(a a)))((^z.z)(^x1.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(^z.a))) 7. ==[ beta ]==> ((a (^x.(a a)))(^z.a)) 8. ==[ alpha ]==> ((a (^x.(a a)))(^y.a)) REDUCED to normal form. ------ 123174/12277983. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a (a a))(^y.b))) REDUCED to normal form. ------ 123175/12278037. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 123176/12278091. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((b a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((b a) a)) 3. ==[ beta ]==> (((a a)(^y.a))((b a) a)) 4. ==[ alpha ]==> (((a a)(^x.a))((b a) a)) REDUCED to normal form. ------ 123177/12278118. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1)) b)) REDUCED to normal form. ------ 123178/12278181. ------ 1. ==[ start ]==> (((a a)(b a))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a a)(b a)) b) REDUCED to normal form. ------ 123179/12278235. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((a (a a))((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> ((a (a a))(^y.y)) 8. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 123180/12278262. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a (a a))(a b))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 123181/12278289. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 123182/12278460. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a) a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123183/12278541. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z) a)(a b))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z) a)(a b))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z) a)(a b))) 5. ==[ beta ]==> ((a a)(((^z.z) a)(a b))) 6. ==[ alpha ]==> ((a a)(((^x.x) a)(a b))) 7. ==[ beta ]==> ((a a)(a (a b))) REDUCED to normal form. ------ 123184/12278739. ------ 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)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 123185/12278847. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 123186/12278874. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(^z.b))(((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((a a)(^z.z)) a)) 5. ==[ beta ]==> ((^y.b)(((a a)(^z.z)) a)) 6. ==[ alpha ]==> ((^x.b)(((a a)(^y.y)) a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123187/12278928. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a b) c)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a b) c)) REDUCED to normal form. ------ 123188/12279054. ------ 1. ==[ start ]==> ((a (^b.b))(c (a b))) 2. ==[ alpha ]==> ((a (^x.x))(c (a b))) REDUCED to normal form. ------ 123189/12279072. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 123190/12279099. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.(^z.z))) REDUCED to normal form. ------ 123191/12279369. ------ 1. ==[ start ]==> ((a ((^a.a) b))((^b.(a a))(a a))) 2. ==[ alpha ]==> ((a ((^x.x) b))((^y.(a a))(a a))) 3. ==[ beta ]==> ((a b)((^y.(a a))(a a))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(a a))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 123192/12279783. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(a ((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(a ((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(a (a a))) REDUCED to normal form. ------ 123193/12279819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.b) b)) 5. ==[ beta ]==> ((^y.(a a))((^z.b) b)) 6. ==[ alpha ]==> ((^x.(a a))((^y.b) b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123194/12279846. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^c.a) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.a) c)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) a) REDUCED to normal form. ------ 123195/12279864. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b ((^y.y)((^z.z) a))) 6. ==[ alpha ]==> (b ((^x.x)((^y.y) a))) 7. ==[ beta ]==> (b ((^y.y) a)) 8. ==[ alpha ]==> (b ((^x.x) a)) 9. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123196/12279873. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(^a.a)) d)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.z)) d)) 3. ==[ beta ]==> (((a b)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.y)) REDUCED to normal form. ------ 123197/12279972. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))((a a)(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123198/12280008. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a b)(^z.z))) 3. ==[ beta ]==> ((b (^y.y))((a b)(^z.z))) 4. ==[ alpha ]==> ((b (^x.x))((a b)(^y.y))) REDUCED to normal form. ------ 123199/12280044. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> (((a a) b)((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a) b)((^x.a)(a (^y.y)))) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 123200/12280071. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1) 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. ------ 123201/12280098. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(y y))(a (a a)))) 3. ==[ beta ]==> ((a (b a))((^y.(y y))(a (a a)))) 4. ==[ alpha ]==> ((a (b a))((^x.(x x))(a (a a)))) 5. ==[ beta ]==> ((a (b a))((a (a a))(a (a a)))) REDUCED to normal form. ------ 123202/12280125. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x))) a) REDUCED to normal form. ------ 123203/12280152. ------ 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. ------ 123204/12280179. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.x)(a b))) 3. ==[ beta ]==> ((((a a) a)(a b))(a b)) REDUCED to normal form. ------ 123205/12280206. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.b)(^a.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.b)(^y.y))) 3. ==[ beta ]==> (((a b)((a a) a)) b) REDUCED to normal form. ------ 123206/12280260. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.(^z.z))(^x1.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. ------ 123207/12280314. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z))) a) REDUCED to normal form. ------ 123208/12280341. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 123209/12280368. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.a)(^a.b))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.x)(^y.b))) 3. ==[ beta ]==> ((a ((a a)(a a)))(^y.b)) 4. ==[ alpha ]==> ((a ((a a)(a a)))(^x.b)) REDUCED to normal form. ------ 123210/12280404. ------ 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. ------ 123211/12280539. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a a)((a a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a a)((a a) a))) 3. ==[ beta ]==> (b ((a a)((a a) a))) REDUCED to normal form. ------ 123212/12280683. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (^a.a))(^b.(^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. ------ 123213/12280764. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((^z.z)(^x1.x1)) b)) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((^x1.x1) b)) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z) b)) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 123214/12280890. ------ 1. ==[ start ]==> (((^a.b)(a b))(a ((a a) a))) 2. ==[ alpha ]==> (((^x.b)(a b))(a ((a a) a))) 3. ==[ beta ]==> (b (a ((a a) a))) REDUCED to normal form. ------ 123215/12280899. ------ 1. ==[ start ]==> (((a b)(^a.b))((^c.a) a)) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 123216/12280953. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(c c)) REDUCED to normal form. ------ 123217/12280998. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((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. ------ 123218/12281061. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(((^y.y)(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> ((((a a)(a a))(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a)(a a))(^x.x))(^y.y)) REDUCED to normal form. ------ 123219/12281097. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 123220/12281124. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.a)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.a)((^x1.x1) a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((^z.z) a))) 5. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 123221/12281151. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 123222/12281178. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(b a))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a (a a))(b a))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 123223/12281205. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 123224/12281232. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 123225/12281259. ------ 1. ==[ start ]==> (((a b)(a b))((^b.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.a)(^y.a))) 3. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 123226/12281286. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 123227/12281313. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 123228/12281394. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(c (^z.a))) 3. ==[ beta ]==> ((b (a (^y.y)))(c (^z.a))) 4. ==[ alpha ]==> ((b (a (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 123229/12281421. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(b (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(b (^x.(x x)))) REDUCED to normal form. ------ 123230/12281448. ------ 1. ==[ start ]==> ((a (b (^a.a)))(a (^b.(^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 123231/12281619. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(c (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(c (a (^z.z)))) 3. ==[ beta ]==> (b (c (a (^z.z)))) 4. ==[ alpha ]==> (b (c (a (^x.x)))) REDUCED to normal form. ------ 123232/12281727. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((a (^y1.y1))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^y1.y1))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123233/12281763. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.a) d)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.y) d)) 3. ==[ beta ]==> ((b c)((^y.y) d)) 4. ==[ alpha ]==> ((b c)((^x.x) d)) 5. ==[ beta ]==> ((b c) d) REDUCED to normal form. ------ 123234/12281790. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(((^x.x) a)(^y.y))) 3. ==[ beta ]==> ((((a a)(a a)) b)(a (^y.y))) 4. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.x))) REDUCED to normal form. ------ 123235/12281835. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(b c)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(b c)) 3. ==[ beta ]==> ((b (^y.y))(b c)) 4. ==[ alpha ]==> ((b (^x.x))(b c)) REDUCED to normal form. ------ 123236/12281898. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z)) b)) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z)) b)) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y)) b)) REDUCED to normal form. ------ 123237/12281916. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b (a (^x1.x1)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b (a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b (a (^y1.y1)))) REDUCED to normal form. ------ 123238/12281997. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a)(a (^z.z)))) 3. ==[ beta ]==> (b ((a a)(a (^z.z)))) 4. ==[ alpha ]==> (b ((a a)(a (^x.x)))) REDUCED to normal form. ------ 123239/12282006. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y) c)) 3. ==[ beta ]==> (((a b)(^x.(a a))) c) REDUCED to normal form. ------ 123240/12282033. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(^z.z))) REDUCED to normal form. ------ 123241/12282105. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b (a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b (a a))) 3. ==[ beta ]==> ((^y.(^z.z))(b (a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123242/12282114. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a) b)) REDUCED to normal form. ------ 123243/12282141. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 123244/12282168. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z) b)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 123245/12282231. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(^z.z)) 4. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 123246/12282258. ------ 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. ------ 123247/12291000. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((((^z.z) b)(^x1.a))(^y.y)) 4. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.z)) 5. ==[ beta ]==> ((b (^y.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 123248/12291117. ------ 1. ==[ start ]==> ((^a.(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(a a))(a b))) 3. ==[ beta ]==> (^y.((^z.(a a))(a b))) 4. ==[ alpha ]==> (^x.((^y.(a a))(a b))) 5. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 123249/12291309. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(^x1.(x1 (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(y (^z.z)))) 5. ==[ beta ]==> (^y.(y (^z.z))) 6. ==[ alpha ]==> (^x.(x (^y.y))) REDUCED to normal form. ------ 123250/12292242. ------ 1. ==[ start ]==> ((^a.((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((^x.((x x) x))((a b)(^y.b))) 3. ==[ beta ]==> ((((a b)(^y.b))((a b)(^y.b)))((a b)(^y.b))) 4. ==[ alpha ]==> ((((a b)(^x.b))((a b)(^y.b)))((a b)(^z.b))) REDUCED to normal form. ------ 123251/12292416. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(^y.((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)(^y.((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 123252/12292575. ------ 1. ==[ start ]==> ((^a.(^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 123253/12292767. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)(^y.(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123254/12293118. ------ 1. ==[ start ]==> (((^a.b)(a a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.(^z.(y y)))) 3. ==[ beta ]==> (b (^y.(^z.(y y)))) 4. ==[ alpha ]==> (b (^x.(^y.(x x)))) REDUCED to normal form. ------ 123255/12293142. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((^z.z)(a a))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))((^z.z)(a a)))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))((^z.z)(a a)))) 5. ==[ beta ]==> (^x.((a a)((^z.z)(a a)))) 6. ==[ alpha ]==> (^x.((a a)((^y.y)(a a)))) 7. ==[ beta ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 123256/12293442. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.(x x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.x1)) 6. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.y1)) 7. ==[ beta ]==> ((^y.y)(^y1.y1)) 8. ==[ alpha ]==> ((^x.x)(^y.y)) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123257/12293775. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^a.((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.((^x1.x1) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.((^z.z) b))) 5. ==[ beta ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 123258/12295329. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.(a a))(^z1.a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 123259/12296220. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123260/12296502. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(^x1.((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123261/12296535. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(((^z.z)(a a))(^x1.x1))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123262/12296952. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(^x1.(a a)))) REDUCED to normal form. ------ 123263/12297348. ------ 1. ==[ start ]==> ((((a a) a)(a b))(^c.(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))(^x.(^y.b))) REDUCED to normal form. ------ 123264/12297897. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(^b.((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(^y.((a a) a))) 3. ==[ beta ]==> (((a a)(a a))(^y.((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))(^x.((a a) a))) REDUCED to normal form. ------ 123265/12298059. ------ 1. ==[ start ]==> (((^a.b)(a b))(^b.(^c.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. ------ 123266/12298068. ------ 1. ==[ start ]==> (((a b)(^a.b))(^a.((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.((y y) y))) REDUCED to normal form. ------ 123267/12298203. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(^c.((^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)))(^z.(^y1.y1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 123268/12298347. ------ 1. ==[ start ]==> (((a (a a))(b a))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123269/12298932. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.((^z.z) a))) 3. ==[ beta ]==> ((b c)(^y.((^z.z) a))) 4. ==[ alpha ]==> ((b c)(^x.((^y.y) a))) 5. ==[ beta ]==> ((b c)(^x.a)) REDUCED to normal form. ------ 123270/12299031. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z) a))) 5. ==[ beta ]==> (^y.((^z.z) a)) 6. ==[ alpha ]==> (^x.((^y.y) a)) 7. ==[ beta ]==> (^x.a) REDUCED to normal form. ------ 123271/12299175. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(a (^z.z)))) REDUCED to normal form. ------ 123272/12299310. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(y (^z.z)))) REDUCED to normal form. ------ 123273/12299400. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.a)) REDUCED to normal form. ------ 123274/12299427. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.a)) REDUCED to normal form. ------ 123275/12299475. ------ 1. ==[ start ]==> (((^a.a) a)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) a)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (a ((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> (a ((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 123276/12299502. ------ 1. ==[ start ]==> (((a a) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a) a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 123277/12299565. ------ 1. ==[ start ]==> (((a a)(a a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a a))(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 123278/12299592. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(^z.a))) 3. ==[ beta ]==> ((a (a (^x.x)))(b (^z.a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(b (^y.a))) REDUCED to normal form. ------ 123279/12299601. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123280/12299628. ------ 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)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123281/12299709. ------ 1. ==[ start ]==> ((a (^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a (^x.a))(a a)) REDUCED to normal form. ------ 123282/12299727. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((a b)(^y.(a a)))) REDUCED to normal form. ------ 123283/12299790. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 123284/12299817. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 123285/12299871. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> (a ((^y.(^z.z))((a a)(a a)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(a a)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 123286/12299898. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(b (^y1.y1)))) 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. ------ 123287/12299970. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((^y.y) b) c)) 3. ==[ beta ]==> (((a a) a)(((^y.y) b) c)) 4. ==[ alpha ]==> (((a a) a)(((^x.x) b) c)) 5. ==[ beta ]==> (((a a) a)(b c)) REDUCED to normal form. ------ 123288/12300087. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(a a))(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.(a a))(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 5. ==[ beta ]==> ((^y.(a a))(^z.b)) 6. ==[ alpha ]==> ((^x.(a a))(^y.b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123289/12300195. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1)))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123290/12300258. ------ 1. ==[ start ]==> (((a (a a))(^a.a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.x))(b ((a a)(a a)))) REDUCED to normal form. ------ 123291/12300348. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (a (^y.y)))((^z.z) c)) 4. ==[ alpha ]==> ((a (a (^x.x)))((^y.y) c)) 5. ==[ beta ]==> ((a (a (^x.x))) c) REDUCED to normal form. ------ 123292/12300366. ------ 1. ==[ start ]==> (((^a.(a a)) b)((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x)) b)((a (^y.(^z.z)))((^x1.x1) a))) 3. ==[ beta ]==> ((b b)((a (^y.(^z.z)))((^x1.x1) a))) 4. ==[ alpha ]==> ((b b)((a (^x.(^y.y)))((^z.z) a))) 5. ==[ beta ]==> ((b b)((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 123293/12300501. ------ 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. ------ 123294/12300528. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (a (((^y.y)(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a ((^y.y)((a a)(^z.z)))) 8. ==[ alpha ]==> (a ((^x.x)((a a)(^y.y)))) 9. ==[ beta ]==> (a ((a a)(^y.y))) 10. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 123295/12300555. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 123296/12300582. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 123297/12300609. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> ((a (^y.a))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> ((a (^x.a))((a (^y.y))((^z.z) b))) 5. ==[ beta ]==> ((a (^x.a))((a (^y.y)) b)) REDUCED to normal form. ------ 123298/12300627. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 123299/12300636. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a a)((a a)(a a)))) REDUCED to normal form. ------ 123300/12300699. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x))(b (^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 123301/12300726. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 123302/12300753. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((b a)(^z.(z z)))) 3. ==[ beta ]==> ((a ((^y.y) a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((b a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 123303/12300780. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((a a)(^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 123304/12300834. ------ 1. ==[ start ]==> ((a ((a a) a))((a b)(^a.b))) 2. ==[ alpha ]==> ((a ((a a) a))((a b)(^x.b))) REDUCED to normal form. ------ 123305/12300870. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.a)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.a)((^y.y)(a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123306/12300924. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(z z))(b a))) 5. ==[ beta ]==> (a ((^z.(z z))(b a))) 6. ==[ alpha ]==> (a ((^x.(x x))(b a))) 7. ==[ beta ]==> (a ((b a)(b a))) REDUCED to normal form. ------ 123307/12301005. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.y)((a a)(a a)))) 3. ==[ beta ]==> (((a a) a)((^y.y)((a a)(a a)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)((a a)(a a)))) 5. ==[ beta ]==> (((a a) a)((a a)(a a))) REDUCED to normal form. ------ 123308/12301086. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.a))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))(^y1.a))) 7. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.a))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 123309/12301167. ------ 1. ==[ start ]==> ((a (^a.b))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (^x.b))(a a)) REDUCED to normal form. ------ 123310/12301338. ------ 1. ==[ start ]==> (((^a.b) a)(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.b) a)(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. ------ 123311/12301356. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.a)(^c.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((^y.b)((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.b)((^y.y)(^z.(a a)))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123312/12301500. ------ 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. ------ 123313/12301527. ------ 1. ==[ start ]==> (((a b) a)((a b)((a a) a))) REDUCED to normal form. ------ 123314/12301554. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a) a)(a b))) REDUCED to normal form. ------ 123315/12301608. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a (a a))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form. ------ 123316/12301635. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y) a)(b a))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))(a (b a))) REDUCED to normal form. ------ 123317/12301662. ------ 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))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))((a (^x1.x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))((a (^z.z))(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)((a (^z.z))(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)((a (^y.y))(a (^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123318/12301689. ------ 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. ------ 123319/12301707. ------ 1. ==[ start ]==> (((^a.b)(a a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a a))(a (^y.(a a)))) 3. ==[ beta ]==> (b (a (^y.(a a)))) 4. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 123320/12301734. ------ 1. ==[ start ]==> ((a (^b.(a a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((a (^x.(a a)))((^y.y)(a a))) 3. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 123321/12301752. ------ 1. ==[ start ]==> (((a a)(a b))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a b))((a (^x.(^y.y)))(^z.(^x1.x1)))) REDUCED to normal form. ------ 123322/12301779. ------ 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. ------ 123323/12301806. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))(((a a)(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((a a)(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.y))(((a a)(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> ((a (^x.x))(((a a)(^y.y))(^z.(z z)))) REDUCED to normal form. ------ 123324/12301833. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(a a))(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 123325/12301860. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((a b)(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((a b)(^x1.a))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((a b)(^x1.a))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((a b)(^z.a))) 5. ==[ beta ]==> (((^y.y) a)((a b)(^z.a))) 6. ==[ alpha ]==> (((^x.x) a)((a b)(^y.a))) 7. ==[ beta ]==> (a ((a b)(^y.a))) 8. ==[ alpha ]==> (a ((a b)(^x.a))) REDUCED to normal form. ------ 123326/12301887. ------ 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. ------ 123327/12301914. ------ 1. ==[ start ]==> (((a b)(a a))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a a))(((^x.x)(^y.y))(^z.(a a)))) 3. ==[ beta ]==> (((a b)(a a))((^y.y)(^z.(a a)))) 4. ==[ alpha ]==> (((a b)(a a))((^x.x)(^y.(a a)))) 5. ==[ beta ]==> (((a b)(a a))(^y.(a a))) 6. ==[ alpha ]==> (((a b)(a a))(^x.(a a))) REDUCED to normal form. ------ 123328/12301950. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(z z))((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(z z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123329/12301977. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.a)(b a))) 3. ==[ beta ]==> ((^y.y)((^x1.a)(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 5. ==[ beta ]==> ((^y.a)(b a)) 6. ==[ alpha ]==> ((^x.a)(b a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123330/12302031. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.x1)((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.y1)((^z1.z1) b))) 5. ==[ beta ]==> ((^y.y)((^y1.y1)((^z1.z1) b))) 6. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) b))) 7. ==[ beta ]==> ((^y.y)((^z.z) b)) 8. ==[ alpha ]==> ((^x.x)((^y.y) b)) 9. ==[ beta ]==> ((^y.y) b) 10. ==[ alpha ]==> ((^x.x) b) 11. ==[ beta ]==> b REDUCED to normal form. ------ 123331/12302166. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)((^y.(a a))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)((^x.(a a))(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 123332/12302193. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 5. ==[ beta ]==> ((^y.b)(^z.a)) 6. ==[ alpha ]==> ((^x.b)(^y.a)) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123333/12302247. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123334/12302310. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))(c (b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))(c (b a))) REDUCED to normal form. ------ 123335/12302328. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123336/12302337. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(b (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 123337/12302364. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(a ((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(a ((^z.z) b))) 3. ==[ beta ]==> (((a a)(^y.y))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 123338/12302400. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a a)((^x.x)(a 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. ------ 123339/12302553. ------ 1. ==[ start ]==> (((^a.b) c)(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b) c)(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (b (((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (b (((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (b ((^y.y)(a b))) 6. ==[ alpha ]==> (b ((^x.x)(a b))) 7. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 123340/12302652. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(b (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(b (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)(b (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b (^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123341/12302787. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(a a))(a (a a)))) 3. ==[ beta ]==> (b ((^z.(a a))(a (a a)))) 4. ==[ alpha ]==> (b ((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 123342/12302868. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a b))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 123343/12302895. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(x1 x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.(x x))((^y.y)(a a))) 7. ==[ beta ]==> (((^y.y)(a a))((^y.y)(a a))) 8. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(a a))) 9. ==[ beta ]==> ((a a)((^y.y)(a a))) 10. ==[ alpha ]==> ((a a)((^x.x)(a a))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 123344/12302949. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(^y.y))(b 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. ------ 123345/12303291. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.(^z.(^x1.x1))) a)) 3. ==[ beta ]==> (((a b) a)((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (((a b) a)((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 123346/12303651. ------ 1. ==[ start ]==> (((^a.a)(b a))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(a a))((^z.z) a))) 3. ==[ beta ]==> ((b a)((^y.(a a))((^z.z) a))) 4. ==[ alpha ]==> ((b a)((^x.(a a))((^y.y) a))) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 123347/12303678. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((^x1.b)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (a a)))) 5. ==[ beta ]==> ((^y.b)(a (a a))) 6. ==[ alpha ]==> ((^x.b)(a (a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123348/12303732. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))((a a) a))) 4. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))((a a) a))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 123349/12303813. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123350/12303921. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> ((a (^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 123351/12304200. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((a b)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123352/12304515. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123353/12304542. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a) a))) 5. ==[ beta ]==> ((^y.(y y))((a a) a)) 6. ==[ alpha ]==> ((^x.(x x))((a a) a)) 7. ==[ beta ]==> (((a a) a)((a a) a)) REDUCED to normal form. ------ 123354/12304596. ------ 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.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(a a)))) 9. ==[ beta ]==> (((a a)(a a))(^y.y)) 10. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 123355/12304677. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b ((^x1.(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b ((^x.(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 123356/12304812. ------ 1. ==[ start ]==> ((a (^b.b))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.b))) 3. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 123357/12304911. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^b.(a a)) b)) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(a a)) b)) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(a a)) b)) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(a a)) b)) 5. ==[ beta ]==> (((a (a a))(a a))(a a)) REDUCED to normal form. ------ 123358/12304938. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.b) c)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.b) c)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.b) c)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.b) c)) 5. ==[ beta ]==> ((a b)((^y.b) c)) 6. ==[ alpha ]==> ((a b)((^x.b) c)) 7. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 123359/12305091. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((a a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)((^z.z)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123360/12305127. ------ 1. ==[ start ]==> ((a ((^a.a) b))(((^a.a)(a a))(^a.a))) 2. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y)(a a))(^z.z))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))(^z.z))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))(^y.y))) 5. ==[ beta ]==> ((a b)((a a)(^y.y))) 6. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 123361/12305136. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123362/12305163. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^a.b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.b)(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^z1.b)(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(a (^z.z)))) 5. ==[ beta ]==> ((^y.b)(a (^z.z))) 6. ==[ alpha ]==> ((^x.b)(a (^y.y))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123363/12305298. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(a b))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123364/12305460. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(y y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 7. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 8. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 9. ==[ beta ]==> (b (^y.y)) 10. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123365/12305487. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(^z.a))) 5. ==[ beta ]==> ((^y.a)(^z.a)) 6. ==[ alpha ]==> ((^x.a)(^y.a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123366/12305541. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.z)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.z)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y)))(^x1.(a a))) 6. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(^z.(a a))) REDUCED to normal form. ------ 123367/12305577. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((a b)(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((a b)(a a))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((a b)(a a))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a b)(a a))) 5. ==[ beta ]==> ((^y.(a a))((a b)(a a))) 6. ==[ alpha ]==> ((^x.(a a))((a b)(a a))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123368/12305604. ------ 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. ------ 123369/12305631. ------ 1. ==[ start ]==> (((a b)(^c.a))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.a))(((^y.y)(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a b)(^x.a))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> (((a b)(^x.a))((^y.y)((^z.z) a))) 5. ==[ beta ]==> (((a b)(^x.a))((^z.z) a)) 6. ==[ alpha ]==> (((a b)(^x.a))((^y.y) a)) 7. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 123370/12305658. ------ 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 (a a)))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (a a))(a (a a)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 123371/12305685. ------ 1. ==[ start ]==> ((((a 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)(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))(a (^x1.x1))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))(a (^z.z))) REDUCED to normal form. ------ 123372/12305730. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (^x1.x1)))(b (^y1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(b (^y1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(b (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123373/12305739. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))((a a)(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))((a a)(a b))) REDUCED to normal form. ------ 123374/12305802. ------ 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. ------ 123375/12305829. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))((^y1.y1)(^z1.a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.x1)(^y1.a))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z))))(^y1.a)) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 123376/12305856. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((a (a a))(^y.(y y)))) 3. ==[ beta ]==> ((a (b a))((a (a a))(^y.(y y)))) 4. ==[ alpha ]==> ((a (b a))((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 123377/12305883. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 123378/12305937. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a a)(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a a)(^x.b))) REDUCED to normal form. ------ 123379/12305964. ------ 1. ==[ start ]==> (((a b)((a a) a))((a b) a)) REDUCED to normal form. ------ 123380/12305991. ------ 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. ------ 123381/12306297. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(b (^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(b (^z.a))) 3. ==[ beta ]==> (b (b (^z.a))) 4. ==[ alpha ]==> (b (b (^x.a))) REDUCED to normal form. ------ 123382/12306405. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(y1 y1))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123383/12306486. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.y)((a a) a))) 3. ==[ beta ]==> (((a a)(a a))((^y.y)((a a) a))) 4. ==[ alpha ]==> (((a a)(a a))((^x.x)((a a) a))) 5. ==[ beta ]==> (((a a)(a a))((a a) a)) REDUCED to normal form. ------ 123384/12306513. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^c.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. ------ 123385/12306567. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((b a)(b a))((^y.(y y))(^z.a))) 4. ==[ alpha ]==> (((b a)(b a))((^x.(x x))(^y.a))) 5. ==[ beta ]==> (((b a)(b a))((^y.a)(^y.a))) 6. ==[ alpha ]==> (((b a)(b a))((^x.a)(^y.a))) 7. ==[ beta ]==> (((b a)(b a)) a) REDUCED to normal form. ------ 123386/12306630. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 123387/12306648. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.a)(^c.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. ------ 123388/12306657. ------ 1. ==[ start ]==> (((a b)(^a.b))(a ((a a) a))) 2. ==[ alpha ]==> (((a b)(^x.b))(a ((a a) a))) REDUCED to normal form. ------ 123389/12306711. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 123390/12306765. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (^x1.x1))(a (a a)))) REDUCED to normal form. ------ 123391/12306792. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.(^y.y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 123392/12306855. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 123393/12306882. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y) a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x)) b)(a (^z.a))) 6. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 123394/12306909. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(^x1.(x1 x1)))) REDUCED to normal form. ------ 123395/12306936. ------ 1. ==[ start ]==> (((a (a a))(b a))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 123396/12306963. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(((^x1.x1)(^y1.y1)) a)) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1)) a)) 5. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1)) a)) 6. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z)) a)) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z) a)) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y) a)) 9. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 123397/12306990. ------ 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. ------ 123398/12307017. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a) a) c)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x) a) c)) 3. ==[ beta ]==> (((a b)(a b))(a c)) REDUCED to normal form. ------ 123399/12307125. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(a a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(x1 x1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(x1 x1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(z z)) b)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(b b)) REDUCED to normal form. ------ 123400/12307152. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.a) c)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.a) c)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.a) c)) 5. ==[ beta ]==> ((b (a (^x.x))) a) REDUCED to normal form. ------ 123401/12307296. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))((^x2.x2) a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(^y2.y2))((^z2.z2) a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(^y2.y2))((^z2.z2) a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))((^y1.y1) a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123402/12307377. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^b.a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123403/12307521. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a a)((^y.y) a))) 3. ==[ beta ]==> ((b c)((a a)((^y.y) a))) 4. ==[ alpha ]==> ((b c)((a a)((^x.x) a))) 5. ==[ beta ]==> ((b c)((a a) a)) REDUCED to normal form. ------ 123404/12307593. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((b (^x.x))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 123405/12307620. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 123406/12307656. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(c (a a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(c (a a))) 3. ==[ beta ]==> ((a (^y.y))(c (a a))) 4. ==[ alpha ]==> ((a (^x.x))(c (a a))) REDUCED to normal form. ------ 123407/12307674. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 123408/12307683. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(b (a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(b (a (^x1.x1)))) REDUCED to normal form. ------ 123409/12307755. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 123410/12307764. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a)(a (^y.y)))) REDUCED to normal form. ------ 123411/12307791. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c a)) 3. ==[ beta ]==> (((a a)(^y.b))(c a)) 4. ==[ alpha ]==> (((a a)(^x.b))(c a)) REDUCED to normal form. ------ 123412/12307863. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.y1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123413/12307872. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b (a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b (a a))) REDUCED to normal form. ------ 123414/12307899. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a (a (^z.z)))) 3. ==[ beta ]==> ((b (^y.a))(a (a (^z.z)))) 4. ==[ alpha ]==> ((b (^x.a))(a (a (^y.y)))) REDUCED to normal form. ------ 123415/12307926. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a)(a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a)(a a))) REDUCED to normal form. ------ 123416/12307989. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a) a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a) a)) REDUCED to normal form. ------ 123417/12308016. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a) a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a))) a) REDUCED to normal form. ------ 123418/12308042. ------ 1. ==[ start ]==> (^a.(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (^x.(((^y.y) x)((^z.z) b))) 3. ==[ beta ]==> (^x.(x ((^z.z) b))) 4. ==[ alpha ]==> (^x.(x ((^y.y) b))) 5. ==[ beta ]==> (^x.(x b)) REDUCED to normal form. ------ 123419/12308043. ------ 1. ==[ start ]==> (a (((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (a (((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (a (a ((^y.y) b))) 4. ==[ alpha ]==> (a (a ((^x.x) b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 123420/12308100. ------ 1. ==[ start ]==> ((^a.b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)(^y.(b (^z.z)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 123421/12315795. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123422/12316635. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b)) a) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b)) a) 3. ==[ beta ]==> ((a ((^y.y) b)) a) 4. ==[ alpha ]==> ((a ((^x.x) b)) a) 5. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 123423/12316641. ------ 1. ==[ start ]==> ((^a.a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 4. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 5. ==[ beta ]==> (a ((^y.y) b)) 6. ==[ alpha ]==> (a ((^x.x) b)) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 123424/12316668. ------ 1. ==[ start ]==> ((^a.(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(x x))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (((a (^y.y))((a a)(a a)))((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 123425/12316695. ------ 1. ==[ start ]==> ((^a.b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.b)((a a)(b (^y.y)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 123426/12316698. ------ 1. ==[ start ]==> ((a b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> ((a b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 123427/12316731. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123428/12316893. ------ 1. ==[ start ]==> ((^a.(^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.(^y.x))(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> (^y.(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> (^x.(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (^x.((a a)(^z.b))) 6. ==[ alpha ]==> (^x.((a a)(^y.b))) REDUCED to normal form. ------ 123429/12317094. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(x1 (^y1.y1)))) REDUCED to normal form. ------ 123430/12317136. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(((a a)(a a)) b)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 123431/12317481. ------ 1. ==[ start ]==> (((a a)(a (a a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(a (a a)))(^x.(b (^y.y)))) REDUCED to normal form. ------ 123432/12317586. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123433/12318531. ------ 1. ==[ start ]==> ((^a.(a b))(b ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x b))(b ((^y.y) b))) 3. ==[ beta ]==> ((b ((^y.y) b)) b) 4. ==[ alpha ]==> ((b ((^x.x) b)) b) 5. ==[ beta ]==> ((b b) b) REDUCED to normal form. ------ 123434/12318903. ------ 1. ==[ start ]==> (((a b)(^a.a))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 123435/12318918. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(((^z.z) b)(^x1.x1))) 3. ==[ beta ]==> (^y.((((^z.z) b)(^x1.x1))(((^z.z) b)(^x1.x1)))) 4. ==[ alpha ]==> (^x.((((^y.y) b)(^z.z))(((^x1.x1) b)(^y1.y1)))) 5. ==[ beta ]==> (^x.((b (^z.z))(((^x1.x1) b)(^y1.y1)))) 6. ==[ alpha ]==> (^x.((b (^y.y))(((^z.z) b)(^x1.x1)))) 7. ==[ beta ]==> (^x.((b (^y.y))(b (^x1.x1)))) 8. ==[ alpha ]==> (^x.((b (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 123436/12319218. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))(^c.(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(^x1.(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(^y1.(^z1.z1))) 5. ==[ beta ]==> ((^y.y)(^y1.(^z1.z1))) 6. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123437/12319551. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(^b.(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(^z.(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 123438/12319800. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z) a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((((^z.z) a)((a a)(^x1.x1)))(((^z.z) a)((a a)(^x1.x1))))(^y.y)) 4. ==[ alpha ]==> (((((^x.x) a)((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))(^y1.y1)) 5. ==[ beta ]==> (((a ((a a)(^y.y)))(((^z.z) a)((a a)(^x1.x1))))(^y1.y1)) 6. ==[ alpha ]==> (((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z))))(^x1.x1)) 7. ==[ beta ]==> (((a ((a a)(^x.x)))(a ((a a)(^z.z))))(^x1.x1)) 8. ==[ alpha ]==> (((a ((a a)(^x.x)))(a ((a a)(^y.y))))(^z.z)) REDUCED to normal form. ------ 123439/12320172. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123440/12320478. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(y (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b) a)(^y.(y (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(x (^y.(^z.z))))) REDUCED to normal form. ------ 123441/12320556. ------ 1. ==[ start ]==> ((^a.(b a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b x))(((^y.y)(a a))((^z.z) a))) 3. ==[ eta ]==> (b (((^y.y)(a a))((^z.z) a))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y) a))) 5. ==[ beta ]==> (b ((a a)((^y.y) a))) 6. ==[ alpha ]==> (b ((a a)((^x.x) a))) 7. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 123442/12321036. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^b.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(z a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(z a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(y a))) REDUCED to normal form. ------ 123443/12321315. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(^a.(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(^z.(b z))) 3. ==[ eta ]==> ((((^x.x)(a a))((^y.y) a)) b) 4. ==[ beta ]==> (((a a)((^y.y) a)) b) 5. ==[ alpha ]==> (((a a)((^x.x) a)) b) 6. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 123444/12321393. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((a b)((^x1.x1) a))) 3. ==[ beta ]==> (((a b)((^x1.x1) a))(^y.(^z.z))) 4. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.z))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.z))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.y))) REDUCED to normal form. ------ 123445/12321819. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)(^z.((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)(^y.((a a)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123446/12322071. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.((y y)(^z.z)))) REDUCED to normal form. ------ 123447/12322953. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^a.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(^x1.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(y y)))) REDUCED to normal form. ------ 123448/12323310. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))(b ((a a) a))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))(b ((a a) a))) 3. ==[ beta ]==> (((b ((a a) a))(b ((a a) a)))((b ((a a) a))(b ((a a) a)))) REDUCED to normal form. ------ 123449/12323844. ------ 1. ==[ start ]==> (((a b)(^a.b))(^b.(^c.a))) 2. ==[ alpha ]==> (((a b)(^x.b))(^y.(^z.a))) REDUCED to normal form. ------ 123450/12324390. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a a)(a (a a)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123451/12324393. ------ 1. ==[ start ]==> ((a (b (^a.a)))(^c.(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(^y.(a (a a)))) REDUCED to normal form. ------ 123452/12324708. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^d.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(^z.a))) 3. ==[ beta ]==> ((b c)(^y.(^z.a))) 4. ==[ alpha ]==> ((b c)(^x.(^y.a))) REDUCED to normal form. ------ 123453/12324735. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^a.(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.(^y.(y y)))) REDUCED to normal form. ------ 123454/12324978. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(^x1.z))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(^x1.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(^z.y))) REDUCED to normal form. ------ 123455/12325086. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123456/12325176. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.b)) REDUCED to normal form. ------ 123457/12325203. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(y y))) REDUCED to normal form. ------ 123458/12325230. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.z)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.z)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.y)) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 123459/12325242. ------ 1. ==[ start ]==> ((a a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> ((a a)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 5. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 123460/12325269. ------ 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. ------ 123461/12325296. ------ 1. ==[ start ]==> ((a b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a b)((a a)(b (^x.x)))) REDUCED to normal form. ------ 123462/12325332. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((b (^z.z))(^x1.x1))) REDUCED to normal form. ------ 123463/12325386. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(^x1.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123464/12325395. ------ 1. ==[ start ]==> (((a a) b)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a) b)((^x.x)((^y.y) a))) 3. ==[ beta ]==> (((a a) b)((^y.y) a)) 4. ==[ alpha ]==> (((a a) b)((^x.x) a)) 5. ==[ beta ]==> (((a a) b) a) REDUCED to normal form. ------ 123465/12325413. ------ 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)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 123466/12325422. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(^z.z))) REDUCED to normal form. ------ 123467/12325440. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 123468/12325494. ------ 1. ==[ start ]==> ((a (^b.a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a (^x.a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a (^x.a))((a a)(^z.b))) 4. ==[ alpha ]==> ((a (^x.a))((a a)(^y.b))) REDUCED to normal form. ------ 123469/12325530. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123470/12325602. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (a a))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123471/12325611. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 123472/12325638. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.a)((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.a)((^z.z) b))) 3. ==[ beta ]==> ((a a)((^y.a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)((^x.a)((^y.y) b))) 5. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 123473/12325665. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 123474/12325692. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)(b (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(b (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(b (^x1.x1))) REDUCED to normal form. ------ 123475/12325737. ------ 1. ==[ start ]==> ((a (^a.(a a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a)) b)) REDUCED to normal form. ------ 123476/12325908. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a b)((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a b)((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 123477/12325989. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a (^x.x))(^y.a))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> (((a (^x.x))(^y.a))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.a))(^z.(^x1.x1))) REDUCED to normal form. ------ 123478/12326016. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 5. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 123479/12326079. ------ 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. ------ 123480/12326106. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(((a a)(a a))(a a))) 3. ==[ beta ]==> (((a (^x.x)) a)(((a a)(a a))(a a))) REDUCED to normal form. ------ 123481/12326133. ------ 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 (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (a (^x.x)))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (a (^x.x)))(b (a (^y.y)))) REDUCED to normal form. ------ 123482/12326160. ------ 1. ==[ start ]==> (((a (a a))(a a))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a a))((a (^x.(^y.y)))((^z.z) a))) 3. ==[ beta ]==> (((a (a a))(a a))((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 123483/12326187. ------ 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 (^y.y))((b a)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((b a)(a (a a)))) REDUCED to normal form. ------ 123484/12326394. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(c (^b.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(c (^z.z))) 3. ==[ beta ]==> ((a (^y.a))(c (^z.z))) 4. ==[ alpha ]==> ((a (^x.a))(c (^y.y))) REDUCED to normal form. ------ 123485/12326421. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(b (^z.(a a)))) REDUCED to normal form. ------ 123486/12326655. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((a a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a) a)(^y1.(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. ------ 123487/12326745. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (b ((^y.a)(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (b ((^x.a)(a (^y.(^z.z))))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123488/12326772. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(^y.y))((^z.z) b))) 3. ==[ beta ]==> ((((a a) a) a)(^y.y)) 4. ==[ alpha ]==> ((((a a) a) a)(^x.x)) REDUCED to normal form. ------ 123489/12326817. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((^y.y)(((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. ------ 123490/12326826. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(a a))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 123491/12326853. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(x x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.(x x)))(^y.(^z.z))) REDUCED to normal form. ------ 123492/12326880. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 123493/12327123. ------ 1. ==[ start ]==> (((^a.b) a)((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.b) a)((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (b ((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123494/12327132. ------ 1. ==[ start ]==> ((a (a b))(b ((^a.a) b))) 2. ==[ alpha ]==> ((a (a b))(b ((^x.x) b))) 3. ==[ beta ]==> ((a (a b))(b b)) REDUCED to normal form. ------ 123495/12327447. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(c (^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.a))(c (^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(c (^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.a)(c (^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.a)(c (^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123496/12327474. ------ 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. ------ 123497/12327501. ------ 1. ==[ start ]==> (((a b)(^a.a))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 123498/12327519. ------ 1. ==[ start ]==> ((a (^b.(a a)))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y) b)(^z.z))) 3. ==[ beta ]==> ((a (^x.(a a)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 123499/12327690. ------ 1. ==[ start ]==> (((^a.b) b)((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.b) b)((^y.a)(a b))) 3. ==[ beta ]==> (b ((^y.a)(a b))) 4. ==[ alpha ]==> (b ((^x.a)(a b))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123500/12327735. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.(a a))((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.(a a))((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123501/12327816. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a a)(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a a)(^y1.y1))) 5. ==[ beta ]==> ((^y.y)((a a)(^y1.y1))) 6. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 7. ==[ beta ]==> ((a a)(^y.y)) 8. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 123502/12327897. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((b a) c)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((b a) c)) 3. ==[ beta ]==> (b ((b a) c)) REDUCED to normal form. ------ 123503/12327960. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(a a)) REDUCED to normal form. ------ 123504/12327987. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.b)) b) REDUCED to normal form. ------ 123505/12328041. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.(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. ------ 123506/12328122. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123507/12328149. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 123508/12328185. ------ 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)))(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. ------ 123509/12328212. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((b a)(a (^y.y)))) REDUCED to normal form. ------ 123510/12328239. ------ 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.z) a))) 3. ==[ beta ]==> ((a ((a a) a))(((a a)(^y.y))((^z.z) a))) 4. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))((^y.y) a))) 5. ==[ beta ]==> ((a ((a a) a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 123511/12328266. ------ 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 a))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> (((a (a a))(^x.x))((a a)(a (a a)))) REDUCED to normal form. ------ 123512/12328293. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))((a b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))((a b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))((a b)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a (a a))((a b)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a (a a))((a b)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a (a a))((a b)(^y.y))) 8. ==[ alpha ]==> ((a (a a))((a b)(^x.x))) REDUCED to normal form. ------ 123513/12328320. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((a a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((a a) a)((a a) a))) 3. ==[ beta ]==> ((((a a) a) a)(((a a) a)((a a) a))) REDUCED to normal form. ------ 123514/12328347. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> (((a b)(a (^x.x)))(a b)) REDUCED to normal form. ------ 123515/12328374. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> (((a a)(a a))((a (a a))((^y.y)(a a)))) 4. ==[ alpha ]==> (((a a)(a a))((a (a a))((^x.x)(a a)))) 5. ==[ beta ]==> (((a a)(a a))((a (a a))(a a))) REDUCED to normal form. ------ 123516/12328401. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y) a)((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 123517/12328572. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z)(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))(^x1.(x1 x1)))) 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. ------ 123518/12328581. ------ 1. ==[ start ]==> (((a b) c)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> (((a b) c)((^x.(a a))(a (a a)))) 3. ==[ beta ]==> (((a b) c)(a a)) REDUCED to normal form. ------ 123519/12328608. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a) b)((^y.b)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a) b)((^x.b)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 123520/12328653. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a a)(^y.y))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> (((a a)(^x.x))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.b))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.b)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.b)) REDUCED to normal form. ------ 123521/12328680. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((a (a a))(^x1.(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.(a a))) 6. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 123522/12328689. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(((^x1.x1)(a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(a a))((^x1.x1)(a a)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a a)((^z.z)(a a)))) 7. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((a a)(a a))) REDUCED to normal form. ------ 123523/12328716. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.b))((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> ((a (^x.b)) a) REDUCED to normal form. ------ 123524/12328770. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(a (^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a (^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123525/12328797. ------ 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)))(^y1.y1))) 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. ------ 123526/12328815. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((b a) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((b a) b)) 3. ==[ beta ]==> (b ((b a) b)) REDUCED to normal form. ------ 123527/12328878. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 123528/12329049. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))(b (b a))) REDUCED to normal form. ------ 123529/12329076. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(a (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a b) a)(a (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a b) a)(a (a (^x.(^y.y))))) REDUCED to normal form. ------ 123530/12329103. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((b a)(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((b a)(a a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((b a)(a a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(a a))) REDUCED to normal form. ------ 123531/12329130. ------ 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))(a (^z.z)))) REDUCED to normal form. ------ 123532/12329157. ------ 1. ==[ start ]==> ((a (b a))(((^a.a)(a a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b a))(((^x.x)(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. ------ 123533/12329436. ------ 1. ==[ start ]==> (((^a.a)(b a))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.x)(b a))(((^y.y)(a a))(^z.a))) 3. ==[ beta ]==> ((b a)(((^y.y)(a a))(^z.a))) 4. ==[ alpha ]==> ((b a)(((^x.x)(a a))(^y.a))) 5. ==[ beta ]==> ((b a)((a a)(^y.a))) 6. ==[ alpha ]==> ((b a)((a a)(^x.a))) REDUCED to normal form. ------ 123534/12329463. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))((a b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)((a b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(y y)))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 123535/12329499. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.(a a))) a) REDUCED to normal form. ------ 123536/12329517. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a b)(a b))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.a))) 7. ==[ beta ]==> (((a b)(a b))(^y.a)) 8. ==[ alpha ]==> (((a b)(a b))(^x.a)) REDUCED to normal form. ------ 123537/12329526. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.b))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.b))(^y.y)) REDUCED to normal form. ------ 123538/12329580. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y))) a) REDUCED to normal form. ------ 123539/12329598. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 123540/12329607. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 123541/12329634. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.z)(b a))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.z)(b a))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.y)(b a))) 5. ==[ beta ]==> (((a a)(^x.a))(b a)) REDUCED to normal form. ------ 123542/12329886. ------ 1. ==[ start ]==> (((a b)(a (a a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(b ((a a)(^x.x)))) REDUCED to normal form. ------ 123543/12329913. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(a (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(a (b a))) 3. ==[ beta ]==> (((a a)((^y.y) a))(a (b a))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(a (b a))) 5. ==[ beta ]==> (((a a) a)(a (b a))) REDUCED to normal form. ------ 123544/12329940. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 123545/12329994. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a b)((^z.z) a))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a b) a)) REDUCED to normal form. ------ 123546/12330273. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a) a)(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a) a)(^z.(z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123547/12330300. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 123548/12330309. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 123549/12330327. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((a (a a))(^z.a))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 123550/12330381. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(a a)))) 8. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(a a)))) REDUCED to normal form. ------ 123551/12330390. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 123552/12330417. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123553/12330462. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((^x1.x1)(a a)) b)) 3. ==[ beta ]==> (b (((^x1.x1)(a a)) b)) 4. ==[ alpha ]==> (b (((^x.x)(a a)) b)) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 123554/12330471. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(a a)) REDUCED to normal form. ------ 123555/12330498. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.b)(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.a))) 5. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 123556/12330525. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) a) REDUCED to normal form. ------ 123557/12330642. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(b (a a))) REDUCED to normal form. ------ 123558/12330669. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(a ((a a)(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(a ((a a)(^y.y)))) REDUCED to normal form. ------ 123559/12330696. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(((^y.y)(a a))(a a))) 3. ==[ beta ]==> (((a (a a))(a a))(((^y.y)(a a))(a a))) 4. ==[ alpha ]==> (((a (a a))(a a))(((^x.x)(a a))(a a))) 5. ==[ beta ]==> (((a (a a))(a a))((a a)(a a))) REDUCED to normal form. ------ 123560/12330723. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))((a b)(a (^y.y)))) 5. ==[ beta ]==> ((a b)((a b)(a (^y.y)))) 6. ==[ alpha ]==> ((a b)((a b)(a (^x.x)))) REDUCED to normal form. ------ 123561/12330750. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((a a) a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))(((a a) a) a)) REDUCED to normal form. ------ 123562/12330777. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((^z.z)(^x1.x1))(a (a a)))) 3. ==[ beta ]==> (((a b)(^y.y))(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> (((a b)(^x.x))(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> (((a b)(^x.x))((^z.z)(a (a a)))) 6. ==[ alpha ]==> (((a b)(^x.x))((^y.y)(a (a a)))) 7. ==[ beta ]==> (((a b)(^x.x))(a (a a))) REDUCED to normal form. ------ 123563/12330804. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))((a (a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))((a (a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a a)(a (a a)))((a (a a))((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a a)(a (a a)))((a (a a))(^y.y))) 6. ==[ alpha ]==> (((a a)(a (a a)))((a (a a))(^x.x))) REDUCED to normal form. ------ 123564/12330831. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a) a))(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y) a))(((^z.z) a)((a a) a))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z) a)((a a) a))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y) a)((a a) a))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)(a ((a a) a))) REDUCED to normal form. ------ 123565/12330876. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(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. ------ 123566/12330885. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a a))((a a)(a a))) REDUCED to normal form. ------ 123567/12330921. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(((^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. ------ 123568/12330948. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((a b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((a b)(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 123569/12331083. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (^z.z))(^x1.b))) 3. ==[ beta ]==> (b ((a (^z.z))(^x1.b))) 4. ==[ alpha ]==> (b ((a (^x.x))(^y.b))) REDUCED to normal form. ------ 123570/12331200. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.a)(^x1.a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) a) REDUCED to normal form. ------ 123571/12331227. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(^z.(z z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 123572/12331254. ------ 1. ==[ start ]==> (((a a)(^b.b))((^a.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.x))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 123573/12331281. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.(^a.a))))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.a)(^z1.a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1)))) a) REDUCED to normal form. ------ 123574/12331407. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^c.a) c)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.a) c)) 3. ==[ beta ]==> (b ((^y.a) c)) 4. ==[ alpha ]==> (b ((^x.a) c)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123575/12331524. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(^a.a)))(b (^a.b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(b (^y1.b))) REDUCED to normal form. ------ 123576/12331551. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(a (^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(a (^z.(a a)))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.(a a)))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.(a a)))) REDUCED to normal form. ------ 123577/12331884. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))(c ((^y.y)(^z.z)))) 3. ==[ beta ]==> ((b (a a))(c ((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((b (a a))(c ((^x.x)(^y.y)))) 5. ==[ beta ]==> ((b (a a))(c (^y.y))) 6. ==[ alpha ]==> ((b (a a))(c (^x.x))) REDUCED to normal form. ------ 123578/12331911. ------ 1. ==[ start ]==> ((a ((a a)(a a)))(b ((a a) a))) REDUCED to normal form. ------ 123579/12331947. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.b) a)) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.b) a)) 3. ==[ beta ]==> ((^y.y)((^x1.b) a)) 4. ==[ alpha ]==> ((^x.x)((^y.b) a)) 5. ==[ beta ]==> ((^y.b) a) 6. ==[ alpha ]==> ((^x.b) a) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123580/12332190. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((a (a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((a (a a))(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123581/12332226. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.a)(a (a a)))) 3. ==[ beta ]==> ((b b)((^y.a)(a (a a)))) 4. ==[ alpha ]==> ((b b)((^x.a)(a (a a)))) 5. ==[ beta ]==> ((b b) a) REDUCED to normal form. ------ 123582/12332253. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(^y.y))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) a)(^x.x)) REDUCED to normal form. ------ 123583/12332298. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(((a a) a) a)) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))(((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. ------ 123584/12332307. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^c.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. ------ 123585/12332334. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))((^b.(^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. ------ 123586/12332352. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((a (a a)) c)) 2. ==[ alpha ]==> (((^x.(x x))(b a))((a (a a)) c)) 3. ==[ beta ]==> (((b a)(b a))((a (a a)) c)) REDUCED to normal form. ------ 123587/12332415. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(^a.a))(^b.(^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. ------ 123588/12332442. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.a)(^c.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. ------ 123589/12332550. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(c (^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(c (^x1.(x1 x1)))) REDUCED to normal form. ------ 123590/12332577. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(b (^z.(^x1.x1)))) REDUCED to normal form. ------ 123591/12332856. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))(b (a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))(b (a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))(b (a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(b (a (a a)))) REDUCED to normal form. ------ 123592/12332910. ------ 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 a))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a (a a))(a a))) REDUCED to normal form. ------ 123593/12332937. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(((^z.z) a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(((^y.y) a)(a (^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (a (^z.z)))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 123594/12332964. ------ 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. ------ 123595/12332991. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a a)(a (a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a a)(a (a a)))) REDUCED to normal form. ------ 123596/12333081. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (^y1.y1))(^z1.a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (^x2.x2))(^y2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((a (^x2.x2))(^y2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123597/12333162. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(((^a.a) a) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(((^z.z) a) b)) 3. ==[ beta ]==> (b (((^z.z) a) b)) 4. ==[ alpha ]==> (b (((^x.x) a) b)) 5. ==[ beta ]==> (b (a b)) REDUCED to normal form. ------ 123598/12333270. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^b.a) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.a) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.a) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.a) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123599/12333306. ------ 1. ==[ start ]==> ((((^a.a) b) c)(b (^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(b (^y.a))) 3. ==[ beta ]==> ((b c)(b (^y.a))) 4. ==[ alpha ]==> ((b c)(b (^x.a))) REDUCED to normal form. ------ 123600/12333333. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(a (^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(a (^x.(x x)))) REDUCED to normal form. ------ 123601/12333378. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 123602/12333405. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a a)(^z.a))) 3. ==[ beta ]==> ((^y.y)((a a)(^z.a))) 4. ==[ alpha ]==> ((^x.x)((a a)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 123603/12333441. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^b.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^y.y))((^z.a)(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.z))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 123604/12333459. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a (^x1.x1)) b)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a (^x1.x1)) b)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a (^y1.y1)) b)) REDUCED to normal form. ------ 123605/12333468. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^y1.y1)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.x1)) REDUCED to normal form. ------ 123606/12333540. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a 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. ------ 123607/12333549. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(b (^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 123608/12333576. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(a (^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(a (^z.a))) 3. ==[ beta ]==> (((a a)(^y.b))(a (^z.a))) 4. ==[ alpha ]==> (((a a)(^x.b))(a (^y.a))) REDUCED to normal form. ------ 123609/12333648. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123610/12333657. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 123611/12333684. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (^x.a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 123612/12333711. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (^z.z))) REDUCED to normal form. ------ 123613/12333774. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a b)) REDUCED to normal form. ------ 123614/12333801. ------ 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. ------ 123615/12333828. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a a)) 3. ==[ beta ]==> ((a ((^y.y) b))(a a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(a a)) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 123616/12339510. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123617/12342429. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b)) b) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b)) b) 3. ==[ beta ]==> ((a ((^y.y) b)) b) 4. ==[ alpha ]==> ((a ((^x.x) b)) b) 5. ==[ beta ]==> ((a b) b) REDUCED to normal form. ------ 123618/12342453. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123619/12343263. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(b ((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123620/12343821. ------ 1. ==[ start ]==> ((^a.((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((^x.((x x) x))((^y.(a a))((a a) a))) 3. ==[ beta ]==> ((((^y.(a a))((a a) a))((^y.(a a))((a a) a)))((^y.(a a))((a a) a))) 4. ==[ alpha ]==> ((((^x.(a a))((a a) a))((^y.(a a))((a a) a)))((^z.(a a))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.(a a))((a a) a)))((^z.(a a))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.(a a))((a a) a)))((^y.(a a))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(a a))((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(a a))((a a) a))) 9. ==[ beta ]==> (((a a)(a a))(a a)) REDUCED to normal form. ------ 123621/12344334. ------ 1. ==[ start ]==> ((^a.(a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((^x.(x b))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((^y.(^z.z))(^x1.x1)) b) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.z)) b) 5. ==[ beta ]==> ((^y.y) b) 6. ==[ alpha ]==> ((^x.x) b) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123622/12344697. ------ 1. ==[ start ]==> (((^a.b)(a a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))(^y.((^z.z) b))) 3. ==[ beta ]==> (b (^y.((^z.z) b))) 4. ==[ alpha ]==> (b (^x.((^y.y) b))) 5. ==[ beta ]==> (b (^x.b)) REDUCED to normal form. ------ 123623/12344928. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.y)(((^z.(^x1.x1))((^y1.y1)(a a)))((^z.(^x1.x1))((^y1.y1)(a a))))) 4. ==[ alpha ]==> ((^x.x)(((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a))))) 5. ==[ beta ]==> (((^y.(^z.z))((^x1.x1)(a a)))((^y1.(^z1.z1))((^x2.x2)(a a)))) 6. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1)(a a)))) 7. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 9. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 10. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123624/12345975. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(^y1.(^z1.(^x2.(^y2.y2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(^x1.(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.(^z1.(^x2.x2))))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123625/12346281. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 123626/12346839. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(^c.(^d.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(^z.(^x1.a))) 3. ==[ beta ]==> (((a a)(^y.a))(^z.(^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.a))(^y.(^z.a))) REDUCED to normal form. ------ 123627/12347370. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(^c.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 123628/12347622. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(^z.(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((^y.b)(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((^x.b)(^y.(^z.(^x1.x1)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123629/12347874. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 123630/12348114. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123631/12348117. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123632/12348954. ------ 1. ==[ start ]==> (((a b)((a a) a))(^b.(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(a x))) 3. ==[ eta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 123633/12349152. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^a.(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(x1 b))) 3. ==[ beta ]==> ((^y.y)(^x1.(x1 b))) 4. ==[ alpha ]==> ((^x.x)(^y.(y b))) 5. ==[ beta ]==> (^y.(y b)) 6. ==[ alpha ]==> (^x.(x b)) REDUCED to normal form. ------ 123634/12349953. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^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. ------ 123635/12350193. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(b (^z.(z z)))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123636/12350781. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^b.c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.c)) 3. ==[ beta ]==> (((a a)(^y.b))(^z.c)) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.c)) REDUCED to normal form. ------ 123637/12350889. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.b)) 3. ==[ beta ]==> ((b (^y.a))(^z.b)) 4. ==[ alpha ]==> ((b (^x.a))(^y.b)) REDUCED to normal form. ------ 123638/12350979. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 123639/12351006. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.z))) REDUCED to normal form. ------ 123640/12351033. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 123641/12351063. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a (^x.x))(a ((^z.z) b))) 4. ==[ alpha ]==> ((a (^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 123642/12351090. ------ 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))) REDUCED to normal form. ------ 123643/12351117. ------ 1. ==[ start ]==> (((^a.a)(a a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a a)(b (^y.y)))) 3. ==[ beta ]==> ((a a)((a a)(b (^y.y)))) 4. ==[ alpha ]==> ((a a)((a a)(b (^x.x)))) REDUCED to normal form. ------ 123644/12351153. ------ 1. ==[ start ]==> (((^a.a) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x) b)((b (^y.y))(^z.z))) 3. ==[ beta ]==> (b ((b (^y.y))(^z.z))) 4. ==[ alpha ]==> (b ((b (^x.x))(^y.y))) REDUCED to normal form. ------ 123645/12351180. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)(((a a)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a 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. ------ 123646/12351207. ------ 1. ==[ start ]==> (((a a) b)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a) b)(((^x.x) b)(^y.a))) 3. ==[ beta ]==> (((a a) b)(b (^y.a))) 4. ==[ alpha ]==> (((a a) b)(b (^x.a))) REDUCED to normal form. ------ 123647/12351234. ------ 1. ==[ start ]==> (((a (^a.a)) a)((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 123648/12351261. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 123649/12351324. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))(a a)) REDUCED to normal form. ------ 123650/12351342. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 123651/12351351. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 123652/12351423. ------ 1. ==[ start ]==> (((a (^a.a)) b)((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 123653/12351450. ------ 1. ==[ start ]==> ((((^a.a) a) a)(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> ((((^x.x) a) a)(((^y.y) a)(^z.z))) 3. ==[ beta ]==> ((a a)(((^y.y) a)(^z.z))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.y))) 5. ==[ beta ]==> ((a a)(a (^y.y))) 6. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 123654/12351477. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (^a.a))(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 123655/12351531. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((b (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((b (^z.z)) a)) 3. ==[ beta ]==> ((a (^y.y))((b (^z.z)) a)) 4. ==[ alpha ]==> ((a (^x.x))((b (^y.y)) a)) REDUCED to normal form. ------ 123656/12351594. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(^x1.a)) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(^z.a)) REDUCED to normal form. ------ 123657/12351621. ------ 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.(y1 y1)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 123658/12351873. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(b ((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(b ((a a)(a a)))) REDUCED to normal form. ------ 123659/12351963. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^b.b) c)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.y) c)) 3. ==[ beta ]==> ((b b)((^y.y) c)) 4. ==[ alpha ]==> ((b b)((^x.x) c)) 5. ==[ beta ]==> ((b b) c) REDUCED to normal form. ------ 123660/12352008. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b a)(a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))((b a)(a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))((b a)(a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123661/12352035. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 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. ------ 123662/12352089. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a b)(a b))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a b)(a b))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a b)(a b))) 5. ==[ beta ]==> ((^y.y)((a b)(a b))) 6. ==[ alpha ]==> ((^x.x)((a b)(a b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 123663/12352143. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1)(^y1.y1))((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))((a a)(^x1.x1)))) 7. ==[ beta ]==> (((^y.y)(^z.z))((a a)(^x1.x1))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((a a)(^z.z))) 9. ==[ beta ]==> ((^y.y)((a a)(^z.z))) 10. ==[ alpha ]==> ((^x.x)((a a)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 123664/12352170. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (a a)))((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. ------ 123665/12352224. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (^z.z))((^x1.x1) b))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 123666/12352323. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))((^y.y)(a (^z.z)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(a (^z.z))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(a (^y.y))) REDUCED to normal form. ------ 123667/12352350. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 123668/12352431. ------ 1. ==[ start ]==> ((a ((a a) a))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> ((a ((a a) a))((^x.(a a))((a a) a))) 3. ==[ beta ]==> ((a ((a a) a))(a a)) REDUCED to normal form. ------ 123669/12352557. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z) a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y) a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (b (((^y.y) a)(^z.(^x1.(^y1.y1))))) 6. ==[ alpha ]==> (b (((^x.x) a)(^y.(^z.(^x1.x1))))) 7. ==[ beta ]==> (b (a (^y.(^z.(^x1.x1))))) 8. ==[ alpha ]==> (b (a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 123670/12352584. ------ 1. ==[ start ]==> ((((a a) a) a)((a (^a.a))(^b.b))) 2. ==[ alpha ]==> ((((a a) a) a)((a (^x.x))(^y.y))) REDUCED to normal form. ------ 123671/12352638. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((a a)(a a)) a)) REDUCED to normal form. ------ 123672/12352665. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((^z.z) b) b)) 3. ==[ beta ]==> ((a (^y.(y y)))(((^z.z) b) b)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((^y.y) b) b)) 5. ==[ beta ]==> ((a (^x.(x x)))(b b)) REDUCED to normal form. ------ 123673/12352692. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((a (^a.(^a.a))) c)) 2. ==[ alpha ]==> (((a (a a))(^x.a))((a (^y.(^z.z))) c)) REDUCED to normal form. ------ 123674/12352782. ------ 1. ==[ start ]==> (((a a)((a a) a))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a a)((a a) a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)((a a) a))(a a)) REDUCED to normal form. ------ 123675/12352809. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.b)(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.b)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.b)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.y)) b) REDUCED to normal form. ------ 123676/12352863. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (a a)) a)((^y.(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (a a)) a)(^y.y)) 6. ==[ alpha ]==> (((a (a a)) a)(^x.x)) REDUCED to normal form. ------ 123677/12352917. ------ 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. ------ 123678/12352944. ------ 1. ==[ start ]==> ((a (a b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> ((a (a b))(^y.y)) 4. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 123679/12352953. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(b ((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(b ((^z.z) b))) 3. ==[ beta ]==> ((^y.b)(b ((^z.z) b))) 4. ==[ alpha ]==> ((^x.b)(b ((^y.y) b))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123680/12353034. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((a (^z.(^x1.x1)))(a (^y1.y1)))) IRREDUCIBLE: cycle. ------ 123681/12353115. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b (((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b ((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b ((a a)(^y.y))) 8. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 123682/12353142. ------ 1. ==[ start ]==> (((^a.a)(a b))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.x)(a b))((a b)((a a) a))) 3. ==[ beta ]==> ((a b)((a b)((a a) a))) REDUCED to normal form. ------ 123683/12353169. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))(((a a) a)(a b))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(a b))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(a b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 123684/12353223. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))((a (a a))((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))((a (a a))((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))((a (a a))((a a)(^x.x)))) REDUCED to normal form. ------ 123685/12353304. ------ 1. ==[ start ]==> (((^a.b)(a a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(a a))((a a)((^y.y) b))) 3. ==[ beta ]==> (b ((a a)((^y.y) b))) 4. ==[ alpha ]==> (b ((a a)((^x.x) b))) 5. ==[ beta ]==> (b ((a a) b)) REDUCED to normal form. ------ 123686/12353349. ------ 1. ==[ start ]==> (((a a)(a b))((^b.b)(a a))) 2. ==[ alpha ]==> (((a a)(a b))((^x.x)(a a))) 3. ==[ beta ]==> (((a a)(a b))(a a)) REDUCED to normal form. ------ 123687/12353376. ------ 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. ------ 123688/12353457. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))((^x1.(a a))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))((^x1.(a a))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(a a))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)((^z.(a a))((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)((^y.(a a))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.(a a))((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.(a a))((^y.y)(^z.z)))) 9. ==[ beta ]==> (a (a a)) REDUCED to normal form. ------ 123689/12353484. ------ 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. ------ 123690/12353502. ------ 1. ==[ start ]==> (((^a.b) b)(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.b) b)(((a a) a)(^y.b))) 3. ==[ beta ]==> (b (((a a) a)(^y.b))) 4. ==[ alpha ]==> (b (((a a) a)(^x.b))) REDUCED to normal form. ------ 123691/12353511. ------ 1. ==[ start ]==> (((a b)(a a))((^c.a)(a b))) 2. ==[ alpha ]==> (((a b)(a a))((^x.a)(a b))) 3. ==[ beta ]==> (((a b)(a a)) a) REDUCED to normal form. ------ 123692/12353538. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (a a))(^y.y)) 6. ==[ alpha ]==> ((a (a a))(^x.x)) REDUCED to normal form. ------ 123693/12353718. ------ 1. ==[ start ]==> (((a b) b)((b a) c)) REDUCED to normal form. ------ 123694/12353925. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))(c (b a))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))(c (b a))) 3. ==[ beta ]==> (b (c (b a))) REDUCED to normal form. ------ 123695/12354249. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (^x1.x1))(b a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.x1))(b a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(b a))) 5. ==[ beta ]==> ((a (^y.y))(b a)) 6. ==[ alpha ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 123696/12354393. ------ 1. ==[ start ]==> (((a b) c)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a b) c)(((^x.x)(a a))(^y.(y y)))) 3. ==[ beta ]==> (((a b) c)((a a)(^y.(y y)))) 4. ==[ alpha ]==> (((a b) c)((a a)(^x.(x x)))) REDUCED to normal form. ------ 123697/12354420. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((a b)(^y.(^z.z)))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.(^y.y)))) REDUCED to normal form. ------ 123698/12354501. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((a (a a))(^z.(a a)))) REDUCED to normal form. ------ 123699/12354528. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z) a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y) a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.b))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.b))(a (^y.(^z.z)))) REDUCED to normal form. ------ 123700/12354582. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((a a)(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((a a)(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123701/12354609. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 123702/12354636. ------ 1. ==[ start ]==> (((a b)(^b.a))((b a) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((b a) b)) REDUCED to normal form. ------ 123703/12354726. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x))) b) REDUCED to normal form. ------ 123704/12354780. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.(^z.z))(^x1.b))) 3. ==[ beta ]==> ((a (a b))((^y.(^z.z))(^x1.b))) 4. ==[ alpha ]==> ((a (a b))((^x.(^y.y))(^z.b))) 5. ==[ beta ]==> ((a (a b))(^y.y)) 6. ==[ alpha ]==> ((a (a b))(^x.x)) REDUCED to normal form. ------ 123705/12354807. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> (((a (a a))((a a) a))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> (((a (a a))((a a) a))(a a)) REDUCED to normal form. ------ 123706/12354834. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((^y.y)((^z.a)(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.x)((^y.a)(^z.(^x1.x1)))) 9. ==[ beta ]==> ((^y.a)(^z.(^x1.x1))) 10. ==[ alpha ]==> ((^x.a)(^y.(^z.z))) 11. ==[ beta ]==> a REDUCED to normal form. ------ 123707/12354888. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a b) a)((^y.y)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a b) a)((^x.x)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a b) a)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> (((a b) a)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 123708/12355059. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((^a.a)(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((^z.z)(^x1.x1))((a a) a))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((^z.z)(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z)(^x1.x1))((a a) a))) 5. ==[ beta ]==> (b (((^z.z)(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((a a) a))) 7. ==[ beta ]==> (b ((^y.y)((a a) a))) 8. ==[ alpha ]==> (b ((^x.x)((a a) a))) 9. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 123709/12355140. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (^z.z))((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a (^z.z))((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(^y.y)))) REDUCED to normal form. ------ 123710/12355203. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((b a)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((b a)(^y.y))) REDUCED to normal form. ------ 123711/12355311. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (^y.(a a)))(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 123712/12355338. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((^a.a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.b))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))(^x.b))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))(^x.b))(^z.a)) 6. ==[ alpha ]==> (((a (a a))(^x.b))(^y.a)) REDUCED to normal form. ------ 123713/12355392. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(a (^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(a (^z.(a a)))) REDUCED to normal form. ------ 123714/12355419. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 123715/12355473. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((b a) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((b a) a)) REDUCED to normal form. ------ 123716/12355536. ------ 1. ==[ start ]==> (((a a)(b a))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(a a))(^y.a))) 3. ==[ beta ]==> (((a a)(b a))(a a)) REDUCED to normal form. ------ 123717/12355563. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y))) b) REDUCED to normal form. ------ 123718/12355617. ------ 1. ==[ start ]==> (((a (a a))(a b))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.(^y.y))(^z.a))) 3. ==[ beta ]==> (((a (a a))(a b))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(a b))(^x.x)) REDUCED to normal form. ------ 123719/12355644. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(^z.b))) 5. ==[ beta ]==> (((a a) a)((^y.(y y))(^z.b))) 6. ==[ alpha ]==> (((a a) a)((^x.(x x))(^y.b))) 7. ==[ beta ]==> (((a a) a)((^y.b)(^y.b))) 8. ==[ alpha ]==> (((a a) a)((^x.b)(^y.b))) 9. ==[ beta ]==> (((a a) a) b) REDUCED to normal form. ------ 123720/12355671. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> ((((a a) a)(^x.x)) a) REDUCED to normal form. ------ 123721/12355698. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a (a a)))(^y.y)) 4. ==[ alpha ]==> (((a b)(a (a a)))(^x.x)) REDUCED to normal form. ------ 123722/12355797. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)((^x1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a)) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123723/12355815. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((a b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((a b)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((a b)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123724/12355896. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))((a (a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))((a (a a))((a a) a))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))((a (a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))((a (a a))((a a) a))) 5. ==[ beta ]==> ((a a)((a (a a))((a a) a))) REDUCED to normal form. ------ 123725/12355977. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a a)((a a)(^x1.x1)))) 3. ==[ beta ]==> (b ((a a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> (b ((a a)((a a)(^x.x)))) REDUCED to normal form. ------ 123726/12356094. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 123727/12356121. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a a)(^x.(^y.(^z.z))))(^y1.(^z1.z1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(^x1.(^y1.y1))) REDUCED to normal form. ------ 123728/12356202. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (^y.y))(^z.(a a)))) REDUCED to normal form. ------ 123729/12356229. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.b)((a a)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.b)((a a)(^y.(^z.z)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 123730/12356283. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 123731/12356310. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))((a b) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))((a b) c)) 3. ==[ beta ]==> (((a a)(^y.(y y)))((a b) c)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((a b) c)) REDUCED to normal form. ------ 123732/12356427. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.a)(^x1.b))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 123733/12356454. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (^x.x))(b a))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(b a))(^y.y)) REDUCED to normal form. ------ 123734/12356697. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))(b (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))(b (^z.(a a)))) REDUCED to normal form. ------ 123735/12356724. ------ 1. ==[ start ]==> ((a ((^a.a) b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.(^z.z)))) 3. ==[ beta ]==> ((a b)(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a b)(a (^x.(^y.y)))) REDUCED to normal form. ------ 123736/12357012. ------ 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. ------ 123737/12357138. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))(b (a b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))(b (a b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))(b (a b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))(b (a b))) REDUCED to normal form. ------ 123738/12357174. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(a a)) a)) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(a a)) a)) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(a a)) a)) 5. ==[ beta ]==> ((^y.(a a))((^z.(a a)) a)) 6. ==[ alpha ]==> ((^x.(a a))((^y.(a a)) a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123739/12357201. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.b) b)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.b) b)) 3. ==[ beta ]==> ((((a a) a)(^x.b)) b) REDUCED to normal form. ------ 123740/12357219. ------ 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. ------ 123741/12357228. ------ 1. ==[ start ]==> (((a b)(^c.a))((^c.a) c)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.a) c)) 3. ==[ beta ]==> (((a b)(^x.a)) a) REDUCED to normal form. ------ 123742/12357327. ------ 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. ------ 123743/12357399. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((^a.b)(a a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((^y.b)(a a))) 3. ==[ beta ]==> (((a a) b)((^y.b)(a a))) 4. ==[ alpha ]==> (((a a) b)((^x.b)(a a))) 5. ==[ beta ]==> (((a a) b) b) REDUCED to normal form. ------ 123744/12357453. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> ((a (b a))((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (b a))((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (b a))(^y.y)) 6. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 123745/12357480. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((a (a a))(a (a a)))) REDUCED to normal form. ------ 123746/12357507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.a)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.a)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.a)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.a)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.a)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 123747/12357534. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(a b))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a b))(^x.x)) REDUCED to normal form. ------ 123748/12357561. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.a)(a b))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.x)(a b))) 3. ==[ beta ]==> (((a b)((a a) a))(a b)) REDUCED to normal form. ------ 123749/12357588. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.b)(^y1.y1))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.b)(^x1.x1))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.b)(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.b)(^z.z))) 7. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 123750/12357669. ------ 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 x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.z)))((^y1.(y1 y1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(x1 x1))(^y1.(y1 y1)))) IRREDUCIBLE: cycle. ------ 123751/12357696. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (a a))((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (a a))((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b (a a)) a) REDUCED to normal form. ------ 123752/12357759. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(a (a b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(a (a b))) 3. ==[ beta ]==> ((^y.y)(a (a b))) 4. ==[ alpha ]==> ((^x.x)(a (a b))) 5. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 123753/12357894. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((a (^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b ((a (^x.x))(^z.z))) 6. ==[ alpha ]==> (b ((a (^x.x))(^y.y))) REDUCED to normal form. ------ 123754/12358038. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> ((b b)(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> ((b b)(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> ((b b)(a (^y.(y y)))) 6. ==[ alpha ]==> ((b b)(a (^x.(x x)))) REDUCED to normal form. ------ 123755/12358065. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 123756/12358119. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(((a a) a) a)) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(((a a) a) a)) REDUCED to normal form. ------ 123757/12358146. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((^y1.y1)(^z1.z1)) b)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((^x1.x1)(^y1.y1)) b)) 5. ==[ beta ]==> ((a (^x.(^y.(^z.z))))((^y1.y1) b)) 6. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((^x1.x1) b)) 7. ==[ beta ]==> ((a (^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 123758/12358245. ------ 1. ==[ start ]==> (((^a.b)(a b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(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. ------ 123759/12358308. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^b.(^a.a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 123760/12358353. ------ 1. ==[ start ]==> (((^a.(^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) 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. ------ 123761/12358452. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.(^y.y))(a a))) 3. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 4. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 123762/12358479. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(z z))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(z z))(a (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(y y))(a (^z.z)))) 5. ==[ beta ]==> (((a (^x.x)) b)((a (^z.z))(a (^z.z)))) 6. ==[ alpha ]==> (((a (^x.x)) b)((a (^y.y))(a (^z.z)))) REDUCED to normal form. ------ 123763/12358506. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y)))) a) REDUCED to normal form. ------ 123764/12358533. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(^y.y))(a (a a)))) 3. ==[ beta ]==> (((a (a a))(b a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))(b a))(^x.x)) REDUCED to normal form. ------ 123765/12358560. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.x1)((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.z)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)((^x1.x1)(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (((a a)(^x.x))((^z.z)(^x1.x1))) 8. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(^z.z))) 9. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 123766/12358587. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 123767/12358614. ------ 1. ==[ start ]==> (((a b)(a b))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(x x))(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.(^z.z))(^y.(^z.z)))) 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. ------ 123768/12358641. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.a)(^z.a))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.a)(^y.a))) 5. ==[ beta ]==> (((a a)((a a) a)) a) REDUCED to normal form. ------ 123769/12358668. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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)(^x.x))(^y.y))(^x1.x1)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 123770/12358803. ------ 1. ==[ start ]==> ((a (b (^a.a)))(b (^a.(a a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(b (^y.(y y)))) REDUCED to normal form. ------ 123771/12359082. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(((^a.a) a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.y1) a)(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123772/12359118. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(^z.z)) c)) 3. ==[ beta ]==> ((b c)((^y.(^z.z)) c)) 4. ==[ alpha ]==> ((b c)((^x.(^y.y)) c)) 5. ==[ beta ]==> ((b c)(^y.y)) 6. ==[ alpha ]==> ((b c)(^x.x)) REDUCED to normal form. ------ 123773/12359190. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(c b)) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(c b)) 3. ==[ beta ]==> ((b (^y.y))(c b)) 4. ==[ alpha ]==> ((b (^x.x))(c b)) REDUCED to normal form. ------ 123774/12359217. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(b c)) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(b c)) 3. ==[ beta ]==> ((^y.y)(b c)) 4. ==[ alpha ]==> ((^x.x)(b c)) 5. ==[ beta ]==> (b c) REDUCED to normal form. ------ 123775/12359253. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(((^a.a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(((^z.z) a) a)) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) a) a)) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) a) a)) 5. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 123776/12359280. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a (^a.a)) b)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a (^x1.x1)) b)) REDUCED to normal form. ------ 123777/12359352. ------ 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 (^z.z))(a a))) 4. ==[ alpha ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 123778/12359361. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.(^a.a)) b)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.(^z.z)) b)) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 123779/12359388. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.z) c)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.z) c)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.y) c)) 5. ==[ beta ]==> (((a a)(^x.b)) c) REDUCED to normal form. ------ 123780/12359469. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1)) a)) REDUCED to normal form. ------ 123781/12359496. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a) b)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a) b)) 3. ==[ beta ]==> ((b (^y.a))((a a) b)) 4. ==[ alpha ]==> ((b (^x.a))((a a) b)) REDUCED to normal form. ------ 123782/12359523. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123783/12359586. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y)(a a))) 3. ==[ beta ]==> (((a a)(b (^x.x)))(a a)) REDUCED to normal form. ------ 123784/12359613. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 123785/12359640. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (^z.z))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (^y.y))) 5. ==[ beta ]==> ((a b)(a (^y.y))) 6. ==[ alpha ]==> ((a b)(a (^x.x))) REDUCED to normal form. ------ 123786/12361938. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.(^x1.(z z)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(z z)))(^z.(^x1.(z z))))) 4. ==[ alpha ]==> (^x.((^y.(^z.(y y)))(^x1.(^y1.(x1 x1))))) 5. ==[ beta ]==> (^x.(^z.((^x1.(^y1.(x1 x1)))(^x1.(^y1.(x1 x1)))))) 6. ==[ alpha ]==> (^x.(^y.((^z.(^x1.(z z)))(^y1.(^z1.(y1 y1)))))) 7. ==[ beta ]==> (^x.(^y.(^x1.((^y1.(^z1.(y1 y1)))(^y1.(^z1.(y1 y1))))))) 8. ==[ alpha ]==> (^x.(^y.(^z.((^x1.(^y1.(x1 x1)))(^z1.(^x2.(z1 z1))))))) 9. ==[ beta ]==> (^x.(^y.(^z.(^y1.((^z1.(^x2.(z1 z1)))(^z1.(^x2.(z1 z1)))))))) 10. ==[ alpha ]==> (^x.(^y.(^z.(^x1.((^y1.(^z1.(y1 y1)))(^x2.(^y2.(x2 x2)))))))) 11. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^z1.((^x2.(^y2.(x2 x2)))(^x2.(^y2.(x2 x2))))))))) 12. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.((^z1.(^x2.(z1 z1)))(^y2.(^z2.(y2 y2))))))))) 13. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^x2.((^y2.(^z2.(y2 y2)))(^y2.(^z2.(y2 y2)))))))))) 14. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.((^x2.(^y2.(x2 x2)))(^z2.(^x3.(z2 z2)))))))))) 15. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^y2.((^z2.(^x3.(z2 z2)))(^z2.(^x3.(z2 z2))))))))))) 16. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.((^y2.(^z2.(y2 y2)))(^x3.(^y3.(x3 x3))))))))))) 17. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^z2.((^x3.(^y3.(x3 x3)))(^x3.(^y3.(x3 x3)))))))))))) 18. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.((^z2.(^x3.(z2 z2)))(^y3.(^z3.(y3 y3)))))))))))) 19. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^x3.((^y3.(^z3.(y3 y3)))(^y3.(^z3.(y3 y3))))))))))))) 20. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.((^x3.(^y3.(x3 x3)))(^z3.(^x4.(z3 z3))))))))))))) 21. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^y3.((^z3.(^x4.(z3 z3)))(^z3.(^x4.(z3 z3)))))))))))))) 22. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.((^y3.(^z3.(y3 y3)))(^x4.(^y4.(x4 x4)))))))))))))) 23. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^z3.((^x4.(^y4.(x4 x4)))(^x4.(^y4.(x4 x4))))))))))))))) 24. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.((^z3.(^x4.(z3 z3)))(^y4.(^z4.(y4 y4))))))))))))))) 25. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^x4.((^y4.(^z4.(y4 y4)))(^y4.(^z4.(y4 y4)))))))))))))))) 26. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.((^x4.(^y4.(x4 x4)))(^z4.(^x5.(z4 z4)))))))))))))))) 27. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^y4.((^z4.(^x5.(z4 z4)))(^z4.(^x5.(z4 z4))))))))))))))))) 28. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.((^y4.(^z4.(y4 y4)))(^x5.(^y5.(x5 x5))))))))))))))))) 29. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^z4.((^x5.(^y5.(x5 x5)))(^x5.(^y5.(x5 x5)))))))))))))))))) 30. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.((^z4.(^x5.(z4 z4)))(^y5.(^z5.(y5 y5)))))))))))))))))) 31. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^x5.((^y5.(^z5.(y5 y5)))(^y5.(^z5.(y5 y5))))))))))))))))))) 32. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.((^x5.(^y5.(x5 x5)))(^z5.(^x6.(z5 z5))))))))))))))))))) 33. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^y5.((^z5.(^x6.(z5 z5)))(^z5.(^x6.(z5 z5)))))))))))))))))))) 34. ==[ alpha ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^x5.((^y5.(^z5.(y5 y5)))(^x6.(^y6.(x6 x6)))))))))))))))))))) 35. ==[ beta ]==> (^x.(^y.(^z.(^x1.(^y1.(^z1.(^x2.(^y2.(^z2.(^x3.(^y3.(^z3.(^x4.(^y4.(^z4.(^x5.(^z5.((^x6.(^y6.(x6 x6)))(^x6.(^y6.(x6 x6))))))))))))))))))))) UNREDUCED: maximal number of reductions reached. ------ 123787/12368250. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b)) c) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b)) c) 3. ==[ beta ]==> ((a ((^y.y) b)) c) 4. ==[ alpha ]==> ((a ((^x.x) b)) c) 5. ==[ beta ]==> ((a b) c) REDUCED to normal form. ------ 123788/12368409. ------ 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 ]==> ((((a a)(a a))(^z.(^x1.x1)))(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123789/12368526. ------ 1. ==[ start ]==> ((^a.(^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> (^y.((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> (^x.((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> (^x.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123790/12369093. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 123791/12369852. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))(^y1.((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)(^y1.((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((a a)(a a)))) 5. ==[ beta ]==> (^y.((a a)(a a))) 6. ==[ alpha ]==> (^x.((a a)(a a))) REDUCED to normal form. ------ 123792/12369984. ------ 1. ==[ start ]==> ((^a.(^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 123793/12370536. ------ 1. ==[ start ]==> (((a b)(^a.a))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a b)(^x.x))(^y.b)) REDUCED to normal form. ------ 123794/12370551. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(a (^z.(a a)))) 3. ==[ beta ]==> (^y.((a (^z.(a a)))(a (^z.(a a))))) 4. ==[ alpha ]==> (^x.((a (^y.(a a)))(a (^z.(a a))))) REDUCED to normal form. ------ 123795/12370554. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^a.(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.(^z.(y y)))) REDUCED to normal form. ------ 123796/12370758. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((((^z.z)(^x1.x1))(^y1.(a a)))(((^z.z)(^x1.x1))(^y1.(a a))))) 4. ==[ alpha ]==> ((^x.x)((((^y.y)(^z.z))(^x1.(a a)))(((^y1.y1)(^z1.z1))(^x2.(a a))))) 5. ==[ beta ]==> ((((^y.y)(^z.z))(^x1.(a a)))(((^y1.y1)(^z1.z1))(^x2.(a a)))) 6. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 7. ==[ beta ]==> (((^y.y)(^z.(a a)))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 8. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 9. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 10. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123797/12372189. ------ 1. ==[ start ]==> ((^a.(b a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.z)) c)) 3. ==[ eta ]==> (b ((^y.(^z.z)) c)) 4. ==[ alpha ]==> (b ((^x.(^y.y)) c)) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123798/12373026. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))((^x1.(a a)) c)) 3. ==[ beta ]==> (((^x1.(a a)) c)(^y.(^z.z))) 4. ==[ alpha ]==> (((^x.(a a)) c)(^y.(^z.z))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 123799/12373629. ------ 1. ==[ start ]==> ((^a.(^b.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(^x1.a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123800/12373956. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^a.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 123801/12374397. ------ 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)(x1 x1)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.((^y1.y1)(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.((^x1.x1)(z z)))) 5. ==[ beta ]==> ((^y.(a a))(^z.((^x1.x1)(z z)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.((^z.z)(y y)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123802/12374586. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(^c.(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(^z.(a b))) 3. ==[ beta ]==> ((b (^y.y))(^z.(a b))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(a b))) REDUCED to normal form. ------ 123803/12374784. ------ 1. ==[ start ]==> (((a b)((a a) a))(^c.(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))(^x.(^y.b))) REDUCED to normal form. ------ 123804/12374982. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(^b.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.y)(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.y))) 5. ==[ beta ]==> (^y.(^z.y)) 6. ==[ alpha ]==> (^x.(^y.x)) REDUCED to normal form. ------ 123805/12375333. ------ 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)) REDUCED to normal form. ------ 123806/12376368. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(^c.((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(^x.((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)(^x.a)) REDUCED to normal form. ------ 123807/12376611. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^c.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(^y.(a (^z.z)))) REDUCED to normal form. ------ 123808/12376683. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123809/12376746. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^a.(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(z (^x1.x1)))) REDUCED to normal form. ------ 123810/12376809. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 123811/12376863. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.a)) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 123812/12376911. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (a (((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> (a (((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> (a (a ((^y.y) b))) 6. ==[ alpha ]==> (a (a ((^x.x) b))) 7. ==[ beta ]==> (a (a b)) REDUCED to normal form. ------ 123813/12376938. ------ 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. ------ 123814/12376965. ------ 1. ==[ start ]==> (((a a)(^a.a))((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a a)(b (^y.y)))) REDUCED to normal form. ------ 123815/12377001. ------ 1. ==[ start ]==> (((a a)(a a))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)(a a))((b (^x.x))(^y.y))) REDUCED to normal form. ------ 123816/12377028. ------ 1. ==[ start ]==> ((a (a (^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 123817/12377064. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 123818/12377091. ------ 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)))(a (a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 123819/12377145. ------ 1. ==[ start ]==> ((a (^b.a))((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.z))((a a) a))) 3. ==[ beta ]==> ((a (^x.a))(^z.z)) 4. ==[ alpha ]==> ((a (^x.a))(^y.y)) REDUCED to normal form. ------ 123820/12377163. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a a)(a (^x.x)))((a a)(^z.b))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((a a)(^y.b))) REDUCED to normal form. ------ 123821/12377190. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((a b)(^y.(a a)))) REDUCED to normal form. ------ 123822/12377226. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.a)((a a)(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)((^z.a)((a a)(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)((^y.a)((a a)(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 123823/12377253. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))(b a)) 6. ==[ alpha ]==> ((^x.(^y.y))(b a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123824/12377307. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.a)((^x1.x1) b))) 3. ==[ beta ]==> (((^y.y) a)((^z.a)((^x1.x1) b))) 4. ==[ alpha ]==> (((^x.x) a)((^y.a)((^z.z) b))) 5. ==[ beta ]==> (a ((^y.a)((^z.z) b))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y) b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123825/12377334. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((a a)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((a a)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123826/12377406. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a a)((^x.x) a))(((a a)(a a)) b)) 3. ==[ beta ]==> (((a a) a)(((a a)(a a)) b)) REDUCED to normal form. ------ 123827/12377433. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((^a.a) b) c)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) b) c)) 3. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(b c)) REDUCED to normal form. ------ 123828/12377523. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123829/12377577. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.b)(^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.b)(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.y)((^z.b)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 7. ==[ beta ]==> ((^y.b)(^z.(a a))) 8. ==[ alpha ]==> ((^x.b)(^y.(a a))) 9. ==[ beta ]==> b REDUCED to normal form. ------ 123830/12377685. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(^z.z))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(^y.y))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 123831/12377712. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(^a.a))(^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 123832/12377802. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((^y.y) b)(a (^z.z)))) 3. ==[ beta ]==> ((b b)(((^y.y) b)(a (^z.z)))) 4. ==[ alpha ]==> ((b b)(((^x.x) b)(a (^y.y)))) 5. ==[ beta ]==> ((b b)(b (a (^y.y)))) 6. ==[ alpha ]==> ((b b)(b (a (^x.x)))) REDUCED to normal form. ------ 123833/12377811. ------ 1. ==[ start ]==> (((a (a a))(a a))((^b.b) c)) 2. ==[ alpha ]==> (((a (a a))(a a))((^x.x) c)) 3. ==[ beta ]==> (((a (a a))(a a)) c) REDUCED to normal form. ------ 123834/12377937. ------ 1. ==[ start ]==> (((a (a a)) b)((a b)(a b))) REDUCED to normal form. ------ 123835/12377964. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((^y.y) a)(((a a) a)((^z.z)(a a)))) 4. ==[ alpha ]==> (((^x.x) a)(((a a) a)((^y.y)(a a)))) 5. ==[ beta ]==> (a (((a a) a)((^y.y)(a a)))) 6. ==[ alpha ]==> (a (((a a) a)((^x.x)(a a)))) 7. ==[ beta ]==> (a (((a a) a)(a a))) REDUCED to normal form. ------ 123836/12377991. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((a a)(^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. ------ 123837/12378018. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a (a a))(b a))) REDUCED to normal form. ------ 123838/12378045. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y) a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((a (^x.a))(a (a (^z.(^x1.x1))))) 6. ==[ alpha ]==> ((a (^x.a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 123839/12378072. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (^z.z))((^x1.x1) b))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))((a (^z.z)) b)) REDUCED to normal form. ------ 123840/12378099. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a a)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)((a a)(a a)))) 6. ==[ alpha ]==> ((^x.x)((a a)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 123841/12378135. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> (((a a)(^y.y))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> (((a a)(^x.x))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 123842/12378162. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x))(a (a a)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a (a a)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 123843/12378189. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a ((^y.y) a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> ((a ((^x.x) a))((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 123844/12378216. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((b a)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((b a)(^y.(y y)))) REDUCED to normal form. ------ 123845/12378243. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a a))(((a a)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a a))(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((a a)(^y.y))(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 123846/12378306. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 123847/12378360. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 5. ==[ beta ]==> (a ((^z.(^x1.x1))((a a)(^y1.y1)))) 6. ==[ alpha ]==> (a ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 123848/12378441. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)((a a) 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. ------ 123849/12378468. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.y1)((a a)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.y1)((a a)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((^y.y)((a a)(a a))) 6. ==[ alpha ]==> ((^x.x)((a a)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 123850/12378522. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(^y.(^z.z))) 10. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 123851/12378603. ------ 1. ==[ start ]==> ((a (^a.b))((^c.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.b))(^z.z)) 4. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 123852/12378774. ------ 1. ==[ start ]==> (((^a.b) a)(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)(c (a (^y.(^z.z))))) 3. ==[ beta ]==> (b (c (a (^y.(^z.z))))) 4. ==[ alpha ]==> (b (c (a (^x.(^y.y))))) REDUCED to normal form. ------ 123853/12378792. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^a.(^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.b)((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123854/12378936. ------ 1. ==[ start ]==> ((((a a) a) b)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a) b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 123855/12378963. ------ 1. ==[ start ]==> (((a b) a)(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b) a)(((^x.x)(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b) a)((a a)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (((a b) a)((a a)((^x.x)(^y.y)))) 5. ==[ beta ]==> (((a b) a)((a a)(^y.y))) 6. ==[ alpha ]==> (((a b) a)((a a)(^x.x))) REDUCED to normal form. ------ 123856/12378990. ------ 1. ==[ start ]==> (((a a)(^a.b))((a b)((a a) a))) 2. ==[ alpha ]==> (((a a)(^x.b))((a b)((a a) a))) REDUCED to normal form. ------ 123857/12379044. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)((^x1.x1)(a a)))) 7. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.x1)(a a))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z)(a a))) 9. ==[ beta ]==> ((a (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 123858/12379071. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))((a (a a))((a a)(^y.y)))) REDUCED to normal form. ------ 123859/12379098. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1) a)(b a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1) a)(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z) a)(b a))) 5. ==[ beta ]==> ((^y.a)(((^z.z) a)(b a))) 6. ==[ alpha ]==> ((^x.a)(((^y.y) a)(b a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 123860/12379125. ------ 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. ------ 123861/12379143. ------ 1. ==[ start ]==> (((^a.b)(a a))(b (^b.b))) 2. ==[ alpha ]==> (((^x.b)(a a))(b (^y.y))) 3. ==[ beta ]==> (b (b (^y.y))) 4. ==[ alpha ]==> (b (b (^x.x))) REDUCED to normal form. ------ 123862/12379152. ------ 1. ==[ start ]==> (((a b)(^a.a))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a b)(^x.x))((a a)((^y.y) b))) 3. ==[ beta ]==> (((a b)(^x.x))((a a) b)) REDUCED to normal form. ------ 123863/12379170. ------ 1. ==[ start ]==> ((a (^b.(a a)))(a (^c.(a a)))) 2. ==[ alpha ]==> ((a (^x.(a a)))(a (^y.(a a)))) REDUCED to normal form. ------ 123864/12379188. ------ 1. ==[ start ]==> (((a a)(a b))(((^a.a) b)(^a.a))) 2. ==[ alpha ]==> (((a a)(a b))(((^x.x) b)(^y.y))) 3. ==[ beta ]==> (((a a)(a b))(b (^y.y))) 4. ==[ alpha ]==> (((a a)(a b))(b (^x.x))) REDUCED to normal form. ------ 123865/12379215. ------ 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. ------ 123866/12379242. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((b a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((b a)(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((b a)(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((b a)(^z.a))) 5. ==[ beta ]==> ((a (^y.y))((b a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.x))((b a)(^y.a))) REDUCED to normal form. ------ 123867/12379269. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))(((a a)(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))(((a a)(^x.x))(^y.(y y)))) REDUCED to normal form. ------ 123868/12379296. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a) a))(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z) a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z) a))(((^x1.x1)(a a))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a (((^y.y)(a a))(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a (((^x.x)(a a))(^y.(^z.z)))) 9. ==[ beta ]==> (a ((a a)(^y.(^z.z)))) 10. ==[ alpha ]==> (a ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 123869/12379323. ------ 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. ------ 123870/12379350. ------ 1. ==[ start ]==> (((a b)(a a))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((a b)(a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 123871/12379377. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((^y.y)(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((a (a a))(((^y.y)(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> ((a (a a))(((^x.x)(^y.y))(^z.(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(^z.(a a)))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(^y.(a a)))) 7. ==[ beta ]==> ((a (a a))(^y.(a a))) 8. ==[ alpha ]==> ((a (a a))(^x.(a a))) REDUCED to normal form. ------ 123872/12379386. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123873/12379413. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^a.(a a))((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(x1 x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))((a a)(^z.z)))) 5. ==[ beta ]==> ((^y.(y y))((a a)(^z.z))) 6. ==[ alpha ]==> ((^x.(x x))((a a)(^y.y))) 7. ==[ beta ]==> (((a a)(^y.y))((a a)(^y.y))) 8. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 123874/12379467. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^a.(^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.(^y1.y1))(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(a (^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.(^y1.y1))))) 7. ==[ beta ]==> ((^y.(^z.z))(a (^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((^x.(^y.y))(a (^z.(^x1.x1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123875/12379548. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 3. ==[ beta ]==> (b ((^x1.(^y1.(^z1.z1)))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 123876/12379629. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.z))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123877/12379773. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))(c (b a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(c (b a))) REDUCED to normal form. ------ 123878/12379800. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))(b (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^y.y))(b (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (a (^y.(^z.z))))) REDUCED to normal form. ------ 123879/12379836. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^b.b) a)) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.y) a)) 3. ==[ beta ]==> (((a a)(a a))((^y.y) a)) 4. ==[ alpha ]==> (((a a)(a a))((^x.x) a)) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 123880/12379863. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.(^z.(^x1.x1))) b)) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 123881/12379989. ------ 1. ==[ start ]==> (((^a.b) c)(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.b) c)(((a a) a)((a a) a))) 3. ==[ beta ]==> (b (((a a) a)((a a) a))) REDUCED to normal form. ------ 123882/12380088. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(c (^d.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(c (^x1.a))) 3. ==[ beta ]==> ((^y.y)(c (^x1.a))) 4. ==[ alpha ]==> ((^x.x)(c (^y.a))) 5. ==[ beta ]==> (c (^y.a)) 6. ==[ alpha ]==> (c (^x.a)) REDUCED to normal form. ------ 123883/12380223. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(^x1.x1))((^y1.y1) a))) 3. ==[ beta ]==> (b ((^z.(^x1.x1))((^y1.y1) a))) 4. ==[ alpha ]==> (b ((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123884/12380331. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))(a b))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((^y.(^z.z))(a b)) 6. ==[ alpha ]==> ((^x.(^y.y))(a b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123885/12380385. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.a)((a a)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.a)((a a)(^y.y)))) 5. ==[ beta ]==> ((((a a) a)((a a) a)) a) REDUCED to normal form. ------ 123886/12380466. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.(^x1.(^y1.y1)))(^z1.z1))) 3. ==[ beta ]==> (b ((^z.(^x1.(^y1.y1)))(^z1.z1))) 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. ------ 123887/12380754. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.(^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.(^z.(^x1.x1))) a)) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 123888/12380808. ------ 1. ==[ start ]==> ((a (b a))((^c.(^a.a)) c)) 2. ==[ alpha ]==> ((a (b a))((^x.(^y.y)) c)) 3. ==[ beta ]==> ((a (b a))(^y.y)) 4. ==[ alpha ]==> ((a (b a))(^x.x)) REDUCED to normal form. ------ 123889/12380979. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(c (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 123890/12381087. ------ 1. ==[ start ]==> (((^a.a)(b a))((^c.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))((^y.(^z.z))(a (^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.(^z.z))(a (^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.(^y.y))(a (^z.z)))) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 123891/12381114. ------ 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.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. ------ 123892/12381168. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(a b))((^y.a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 123893/12381249. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (b ((^y.a)((^z.z)(a a)))) 4. ==[ alpha ]==> (b ((^x.a)((^y.y)(a a)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 123894/12381375. ------ 1. ==[ start ]==> (((a a)(b a))(((^a.a)(a a)) c)) 2. ==[ alpha ]==> (((a a)(b a))(((^x.x)(a a)) c)) 3. ==[ beta ]==> (((a a)(b a))((a a) c)) REDUCED to normal form. ------ 123895/12381636. ------ 1. ==[ start ]==> (((^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.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1)(a a))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123896/12381645. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(a a)) c)) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 123897/12381816. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(b (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(b (^x1.(^y1.y1)))) 3. ==[ beta ]==> (b (b (^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b (b (^x.(^y.y)))) REDUCED to normal form. ------ 123898/12381924. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.b)((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.b)((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123899/12381978. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^b.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123900/12382032. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.a)(a b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.a)(a b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.a)(a b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.a)(a b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.a)(a b))) 7. ==[ beta ]==> (((a a)(a a))((^y.a)(a b))) 8. ==[ alpha ]==> (((a a)(a a))((^x.a)(a b))) 9. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 123901/12382113. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.z1))) 3. ==[ beta ]==> (b ((^x1.(^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> (b ((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123902/12382221. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a a))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123903/12382248. ------ 1. ==[ start ]==> ((a (^b.b))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((a (^x.x))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.a)(^z.a))) 5. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 123904/12382374. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(a a)) b)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(a a)) b)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(a a)) b)) 5. ==[ beta ]==> ((a b)((^y.(a a)) b)) 6. ==[ alpha ]==> ((a b)((^x.(a a)) b)) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 123905/12382401. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^a.b) c)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.b) c)) 3. ==[ beta ]==> ((((a a) a)((a a) a)) b) REDUCED to normal form. ------ 123906/12382428. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^c.a) d)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.a) d)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.a) d)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.a) d)) 5. ==[ beta ]==> (((a b)(^x.x)) a) REDUCED to normal form. ------ 123907/12382527. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)((a (^x1.x1))(a b))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(a b))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(a b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123908/12382572. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(a (^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(a (^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)(a (^y.(^z.z)))) 5. ==[ beta ]==> (a (^y.(^z.z))) 6. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 123909/12382599. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.(^a.a))))((^b.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.(^y1.y1))))((^z1.(a a))(a a))) 3. ==[ beta ]==> ((^y.y)((^z1.(a a))(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a a))) 5. ==[ beta ]==> ((^y.(a a))(a a)) 6. ==[ alpha ]==> ((^x.(a a))(a a)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123910/12382734. ------ 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. ------ 123911/12382842. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((^z1.b)(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.b)(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.b)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123912/12382896. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(z z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 123913/12382923. ------ 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.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(y1 y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((^y.(y y))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((^x.(x x))(^y.(^z.z))) 7. ==[ beta ]==> ((^y.(^z.z))(^y.(^z.z))) 8. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.x1))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123914/12382977. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.(^x1.x1))(^y1.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. ------ 123915/12383013. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(a ((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(a ((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(a ((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.(a a))(a ((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(a ((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123916/12383040. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((a b)(a a))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((a b)(a a))) REDUCED to normal form. ------ 123917/12383067. ------ 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. ------ 123918/12383094. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))(((^a.a)(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))(((^x1.x1)(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z)(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1)((^y1.y1) a))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 7. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 8. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 9. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 123919/12383121. ------ 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 (a a)))) REDUCED to normal form. ------ 123920/12383175. ------ 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. ------ 123921/12383202. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))((a a)(a b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))((a a)(a b))) 3. ==[ beta ]==> ((b (^y.y))((a a)(a b))) 4. ==[ alpha ]==> ((b (^x.x))((a a)(a b))) REDUCED to normal form. ------ 123922/12383238. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a b)(^a.a))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a b)(^y.y))) 3. ==[ beta ]==> (((a a) b)((a b)(^y.y))) 4. ==[ alpha ]==> (((a a) b)((a b)(^x.x))) REDUCED to normal form. ------ 123923/12383265. ------ 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. ------ 123924/12383292. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a (b a))(((^y.y)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a (b a))(((^x.x)(^y.y))(^z.a))) 5. ==[ beta ]==> ((a (b a))((^y.y)(^z.a))) 6. ==[ alpha ]==> ((a (b a))((^x.x)(^y.a))) 7. ==[ beta ]==> ((a (b a))(^y.a)) 8. ==[ alpha ]==> ((a (b a))(^x.a)) REDUCED to normal form. ------ 123925/12383319. ------ 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 a))(^y.(y y)))) REDUCED to normal form. ------ 123926/12383346. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))(((^x1.x1) a)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))(((^z.z) a)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(a a))(((^z.z) a)(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)(^z.(^x1.x1)))) 7. ==[ beta ]==> ((a a)(((^y.y) a)(^z.(^x1.x1)))) 8. ==[ alpha ]==> ((a a)(((^x.x) a)(^y.(^z.z)))) 9. ==[ beta ]==> ((a a)(a (^y.(^z.z)))) 10. ==[ alpha ]==> ((a a)(a (^x.(^y.y)))) REDUCED to normal form. ------ 123927/12383373. ------ 1. ==[ start ]==> ((((a a) a)(a b))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)(a b))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 123928/12383400. ------ 1. ==[ start ]==> (((a b)((a a) a))((a a)(^a.b))) 2. ==[ alpha ]==> (((a b)((a a) a))((a a)(^x.b))) REDUCED to normal form. ------ 123929/12383427. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))((a b) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))((a b) a)) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a b) a)) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a b) a)) 5. ==[ beta ]==> (((a a)(^y.y))((a b) a)) 6. ==[ alpha ]==> (((a a)(^x.x))((a b) a)) REDUCED to normal form. ------ 123930/12383454. ------ 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)) REDUCED to normal form. ------ 123931/12383598. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.a)(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.x1)(^y1.b))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> ((^x.x)((^y.y)(^z.b))) 5. ==[ beta ]==> ((^y.y)(^z.b)) 6. ==[ alpha ]==> ((^x.x)(^y.b)) 7. ==[ beta ]==> (^y.b) 8. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 123932/12383733. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(c (^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(c (^z.(^x1.x1)))) 3. ==[ beta ]==> (b (c (^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (c (^x.(^y.y)))) REDUCED to normal form. ------ 123933/12383841. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^b.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^y1.(^z1.z1))(a (^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1))(a (^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123934/12383922. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(a a))((^y.(^z.z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(^y.y))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 123935/12383949. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.x1)((a a) a))) 3. ==[ beta ]==> ((^y.y)((^x1.x1)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((a a) a))) 5. ==[ beta ]==> ((^y.y)((a a) a)) 6. ==[ alpha ]==> ((^x.x)((a a) a)) 7. ==[ beta ]==> ((a a) a) REDUCED to normal form. ------ 123936/12384003. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^b.(^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. ------ 123937/12384066. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))(c (a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))(c (a (a a)))) REDUCED to normal form. ------ 123938/12384084. ------ 1. ==[ start ]==> (((^a.b)(a b))((^a.(^a.a))(^b.(^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. ------ 123939/12384093. ------ 1. ==[ start ]==> (((a b)(^a.b))(b ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(b ((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(^x.b))(b (^z.z))) 4. ==[ alpha ]==> (((a b)(^x.b))(b (^y.y))) REDUCED to normal form. ------ 123940/12384147. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(((^x1.x1)(^y1.y1))(a a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))((^y1.y1)(a a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(a a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(a a)) REDUCED to normal form. ------ 123941/12384201. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a ((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(a ((^x1.x1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(a a)) REDUCED to normal form. ------ 123942/12384228. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((a (^x1.x1))(a (a a)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))((a (^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((a (^z.z))(a (a a)))) REDUCED to normal form. ------ 123943/12384255. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.x))((a a)(^z.z))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a a)(^y.y))) REDUCED to normal form. ------ 123944/12384291. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(((^x.x)(^y.y))(^z.z))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a a)((a a)(a a)))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a)(a a)))(^x.x)) REDUCED to normal form. ------ 123945/12384318. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) b)((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) b)((a (a a))(^y.(^z.z)))) REDUCED to normal form. ------ 123946/12384345. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))(((^x1.x1) a)(^y1.a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z) a)(^x1.a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(a (^x1.a))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(a (^z.a))) REDUCED to normal form. ------ 123947/12384372. ------ 1. ==[ start ]==> (((a (a a))(b a))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(^y.(y y)))) REDUCED to normal form. ------ 123948/12384399. ------ 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)))) REDUCED to normal form. ------ 123949/12384426. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(((^y.y)(^z.z)) a)) 3. ==[ beta ]==> ((((a a) a)(a a))(((^y.y)(^z.z)) a)) 4. ==[ alpha ]==> ((((a a) a)(a a))(((^x.x)(^y.y)) a)) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y) a)) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x) a)) 7. ==[ beta ]==> ((((a a) a)(a a)) a) REDUCED to normal form. ------ 123950/12384453. ------ 1. ==[ start ]==> (((a b)(a b))((a (a a)) b)) REDUCED to normal form. ------ 123951/12384561. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^b.(^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1)) a)) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1)) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1)) a)) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 123952/12384588. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(z z)) b)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(y y)) b)) 5. ==[ beta ]==> ((b (a (^x.x)))(b b)) REDUCED to normal form. ------ 123953/12384615. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^b.a) c)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.a) c)) 3. ==[ beta ]==> ((((a a)(a a))(a a)) a) REDUCED to normal form. ------ 123954/12384732. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^b.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.a)(a (^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.a)(a (^y2.y2)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.a)(a (^y2.y2)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(a (^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123955/12384813. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.(a a))(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^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. ------ 123956/12384957. ------ 1. ==[ start ]==> ((((^a.a) b) c)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)((a (^y.y))(a (^z.z)))) 3. ==[ beta ]==> ((b c)((a (^y.y))(a (^z.z)))) 4. ==[ alpha ]==> ((b c)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 123957/12384984. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a a)((^x.x) a))) 3. ==[ beta ]==> ((((a a)(a a)) b)((a a) a)) REDUCED to normal form. ------ 123958/12385029. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((^z.a)(a a))) 3. ==[ beta ]==> ((b (^y.y))((^z.a)(a a))) 4. ==[ alpha ]==> ((b (^x.x))((^y.a)(a a))) 5. ==[ beta ]==> ((b (^x.x)) a) REDUCED to normal form. ------ 123959/12385056. ------ 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.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(a (^x1.x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(a (^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123960/12385110. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.a)(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.a)(^z1.z1))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 123961/12385191. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(c (^z.z))) 3. ==[ beta ]==> (b (c (^z.z))) 4. ==[ alpha ]==> (b (c (^x.x))) REDUCED to normal form. ------ 123962/12385200. ------ 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. ------ 123963/12385227. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a a)(a (^z.z)))) 3. ==[ beta ]==> (((a a)(^y.b))((a a)(a (^z.z)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)(a (^y.y)))) REDUCED to normal form. ------ 123964/12385299. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^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. ------ 123965/12385335. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(b (a a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(b (a a))) 3. ==[ beta ]==> ((b (^y.a))(b (a a))) 4. ==[ alpha ]==> ((b (^x.a))(b (a a))) REDUCED to normal form. ------ 123966/12385362. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(a (a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(a (a (^z.z)))) REDUCED to normal form. ------ 123967/12385425. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(^y.y))) REDUCED to normal form. ------ 123968/12385452. ------ 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. ------ 123969/12385479. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y) a)) 5. ==[ beta ]==> ((a b)((^y.y) a)) 6. ==[ alpha ]==> ((a b)((^x.x) a)) 7. ==[ beta ]==> ((a b) a) REDUCED to normal form. ------ 123970/12385505. ------ 1. ==[ start ]==> (^a.((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (^x.((x (x x))(x (^y.(^z.z))))) REDUCED to normal form. ------ 123971/12385506. ------ 1. ==[ start ]==> (a ((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (a ((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 123972/12391179. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123973/12394125. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a)))) a) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 123974/12394131. ------ 1. ==[ start ]==> ((^a.a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.x)((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> ((a (a a))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((a (a a))(a (^x.(^y.y)))) REDUCED to normal form. ------ 123975/12394158. ------ 1. ==[ start ]==> ((^a.(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(x x))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((((^y.y) a)((^z.z) b))(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(((^z.z) a)((^x1.x1) b))) 5. ==[ beta ]==> ((a ((^y.y) b))(((^z.z) a)((^x1.x1) b))) 6. ==[ alpha ]==> ((a ((^x.x) b))(((^y.y) a)((^z.z) b))) 7. ==[ beta ]==> ((a b)(((^y.y) a)((^z.z) b))) 8. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) b))) 9. ==[ beta ]==> ((a b)(a ((^y.y) b))) 10. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 11. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 123976/12394185. ------ 1. ==[ start ]==> ((^a.b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.b)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 123977/12394383. ------ 1. ==[ start ]==> ((^a.(^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((^x.(^y.x))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (^y.(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (^x.(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 123978/12394611. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(^z.(z (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(y (^z.z)))) REDUCED to normal form. ------ 123979/12394626. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((b (^z.z)) a)) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 123980/12394998. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.x)) a)(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(^y.(b (^z.z)))) REDUCED to normal form. ------ 123981/12395076. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 123982/12395718. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.((a a)(a a)))) REDUCED to normal form. ------ 123983/12396021. ------ 1. ==[ start ]==> ((^a.(a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))(c (a (^y.(^z.z))))) 3. ==[ beta ]==> ((c (a (^y.(^z.z)))) b) 4. ==[ alpha ]==> ((c (a (^x.(^y.y)))) b) REDUCED to normal form. ------ 123984/12397077. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(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. ------ 123985/12397290. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))((a (a a))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a (a a))((^z.z)(a a)))((a (a a))((^z.z)(a a))))(^y.y)) 4. ==[ alpha ]==> ((((a (a a))((^x.x)(a a)))((a (a a))((^y.y)(a a))))(^z.z)) 5. ==[ beta ]==> ((((a (a a))(a a))((a (a a))((^y.y)(a a))))(^z.z)) 6. ==[ alpha ]==> ((((a (a a))(a a))((a (a a))((^x.x)(a a))))(^y.y)) 7. ==[ beta ]==> ((((a (a a))(a a))((a (a a))(a a)))(^y.y)) 8. ==[ alpha ]==> ((((a (a a))(a a))((a (a a))(a a)))(^x.x)) REDUCED to normal form. ------ 123986/12397689. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 123987/12397995. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(z (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 123988/12398046. ------ 1. ==[ start ]==> ((^a.(b a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(b x))(((a a)(^y.y))(a (^z.z)))) 3. ==[ eta ]==> (b (((a a)(^y.y))(a (^z.z)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 123989/12398283. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 123990/12398553. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))(^b.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(x1 a))) REDUCED to normal form. ------ 123991/12398595. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(((a a)(^y1.y1)) b)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 123992/12398832. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(^a.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(^z.(b z))) 3. ==[ eta ]==> ((((a a)(^x.x))(a (^y.y))) b) REDUCED to normal form. ------ 123993/12398883. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((^x1.x1)(a a))(a (^y1.y1)))) 3. ==[ beta ]==> ((((^x1.x1)(a a))(a (^y1.y1)))(^y.(^z.z))) 4. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.x1))) 5. ==[ beta ]==> (((a a)(a (^y.y)))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 123994/12399588. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(^y.((y y)(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a a))(^y.((y y)(^z.z)))) 4. ==[ alpha ]==> (((a (a a))(a a))(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 123995/12399801. ------ 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) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 123996/12399804. ------ 1. ==[ start ]==> ((a ((^a.a) b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(^y.((^z.z)(a a)))) 3. ==[ beta ]==> ((a b)(^y.((^z.z)(a a)))) 4. ==[ alpha ]==> ((a b)(^x.((^y.y)(a a)))) 5. ==[ beta ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 123997/12400254. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(^x1.(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(^x1.(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(^z.(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))(^z.(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))(^y.(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 123998/12401190. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))(^c.(^c.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. ------ 123999/12401199. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^b.((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.((a a) a))) REDUCED to normal form. ------ 124000/12401802. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^z.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 124001/12401880. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((a (^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124002/12402333. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^b.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))(^y.a)) REDUCED to normal form. ------ 124003/12402549. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(^b.(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.(a (^y1.y1)))) REDUCED to normal form. ------ 124004/12402603. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(^b.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124005/12402693. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.b)) REDUCED to normal form. ------ 124006/12402720. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(z z))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(z z))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(y y))) 5. ==[ beta ]==> ((a b)(^y.(y y))) 6. ==[ alpha ]==> ((a b)(^x.(x x))) REDUCED to normal form. ------ 124007/12402747. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 124008/12402759. ------ 1. ==[ start ]==> ((a a)((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a a)((a (a a))(a (^x.(^y.y))))) REDUCED to normal form. ------ 124009/12402786. ------ 1. ==[ start ]==> ((a (a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a (a a))(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> ((a (a a))(a ((^y.y) b))) 4. ==[ alpha ]==> ((a (a a))(a ((^x.x) b))) 5. ==[ beta ]==> ((a (a a))(a b)) REDUCED to normal form. ------ 124010/12402813. ------ 1. ==[ start ]==> ((a b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a b)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 124011/12402903. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124012/12402912. ------ 1. ==[ start ]==> (((a a) b)((^c.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a a) b)((^x.(a a))(a (^y.y)))) 3. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 124013/12402930. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((^x1.x1) b)(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) b)(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) b)(^z.a))) 5. ==[ beta ]==> (((^y.y) b)(^z.a)) 6. ==[ alpha ]==> (((^x.x) b)(^y.a)) 7. ==[ beta ]==> (b (^y.a)) 8. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 124014/12402939. ------ 1. ==[ start ]==> (((a (^a.a)) a)((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.x)) a)((^y.y)((^z.z) a))) 3. ==[ beta ]==> (((a (^x.x)) a)((^z.z) a)) 4. ==[ alpha ]==> (((a (^x.x)) a)((^y.y) a)) 5. ==[ beta ]==> (((a (^x.x)) a) a) REDUCED to normal form. ------ 124015/12402957. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(x1 x1)))) REDUCED to normal form. ------ 124016/12402966. ------ 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)))(a (a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 124017/12402984. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.y)((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.x)((b a)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 124018/12403011. ------ 1. ==[ start ]==> ((a (^b.a))(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> ((a (^x.a))(((a a)(^y.y))(^z.a))) REDUCED to normal form. ------ 124019/12403047. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124020/12403092. ------ 1. ==[ start ]==> (((^a.a)(^b.a))(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))(((a a) a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((^y.a)(((a a) a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((^x.a)(((a a) a)(^y.(^z.z)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 124021/12403128. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(b a))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 124022/12403155. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((a a)((^y.(y y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((a a)((^x.(x x))(a (^y.(^z.z))))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(a (^y.(^z.z))))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124023/12403173. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (a (((^y.y) a)(^z.z))) 6. ==[ alpha ]==> (a (((^x.x) a)(^y.y))) 7. ==[ beta ]==> (a (a (^y.y))) 8. ==[ alpha ]==> (a (a (^x.x))) REDUCED to normal form. ------ 124024/12403182. ------ 1. ==[ start ]==> (((a a)(^b.a))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 124025/12403209. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 124026/12403236. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)(b (^x1.x1)))) 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. ------ 124027/12403254. ------ 1. ==[ start ]==> ((a (^a.(a a)))((b (^a.a)) a)) 2. ==[ alpha ]==> ((a (^x.(x x)))((b (^y.y)) a)) REDUCED to normal form. ------ 124028/12403344. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a a)(^y.(^z.z))) 6. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 124029/12403425. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a b)((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a b)((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 124030/12403452. ------ 1. ==[ start ]==> (((a (a a)) a)((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.(a a)))) 3. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 124031/12403533. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 7. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 124032/12403560. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.a)(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.x)) a) REDUCED to normal form. ------ 124033/12403596. ------ 1. ==[ start ]==> (((a a)(a (a a)))(b ((a a)(a a)))) REDUCED to normal form. ------ 124034/12403623. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(a (b (^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(a (b (^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) a)(a (b (^z.z)))) 4. ==[ alpha ]==> (((a (^x.x)) a)(a (b (^y.y)))) REDUCED to normal form. ------ 124035/12403650. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(((a a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(((a a)(a a))(a a))) 3. ==[ beta ]==> ((a (a (^y.y)))(((a a)(a a))(a a))) 4. ==[ alpha ]==> ((a (a (^x.x)))(((a a)(a a))(a a))) REDUCED to normal form. ------ 124036/12403677. ------ 1. ==[ start ]==> (((a (a a))(a a))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a a))(((^x.x) b)(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(b (a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b (a (^x.x)))) REDUCED to normal form. ------ 124037/12403704. ------ 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)))((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))((^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. ------ 124038/12403965. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(b (^c.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(b (^x1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b (^x1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 5. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 6. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 7. ==[ beta ]==> (b (^y.(a a))) 8. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 124039/12404172. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^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. ------ 124040/12404226. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (a (((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> (a (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (a ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (a ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (a (^y.(^z.z))) 10. ==[ alpha ]==> (a (^x.(^y.y))) REDUCED to normal form. ------ 124041/12404262. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(z z))(b a))) 3. ==[ beta ]==> (((^y.y) b)((^z.(z z))(b a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(y y))(b a))) 5. ==[ beta ]==> (b ((^y.(y y))(b a))) 6. ==[ alpha ]==> (b ((^x.(x x))(b a))) 7. ==[ beta ]==> (b ((b a)(b a))) REDUCED to normal form. ------ 124042/12404289. ------ 1. ==[ start ]==> ((((a a) a) a)((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.a)(a (^y.(^z.z))))) 3. ==[ beta ]==> ((((a a) a) a) a) REDUCED to normal form. ------ 124043/12404307. ------ 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))) REDUCED to normal form. ------ 124044/12404343. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.x1)((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))((a a)(a a))) REDUCED to normal form. ------ 124045/12404388. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((^z.z) b) b)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((^z.z) b) b)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b) b)) 5. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b) b)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b) b)) 7. ==[ beta ]==> ((a a)(((^y.y) b) b)) 8. ==[ alpha ]==> ((a a)(((^x.x) b) b)) 9. ==[ beta ]==> ((a a)(b b)) REDUCED to normal form. ------ 124046/12404397. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.y)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 124047/12404424. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.(^x2.x2)))(^y2.a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.(^z1.z1)))(^x2.a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124048/12404640. ------ 1. ==[ start ]==> (((^a.b) a)((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b) a)((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^y.a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 124049/12404649. ------ 1. ==[ start ]==> ((a (a b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))(c (a (^x.(^y.y))))) REDUCED to normal form. ------ 124050/12404739. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))((^b.b) b)) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) b)) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))((^z.z) b)) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))((^z.z) b)) IRREDUCIBLE: cycle. ------ 124051/12405018. ------ 1. ==[ start ]==> (((a b)(^a.a))(b (^b.b))) 2. ==[ alpha ]==> (((a b)(^x.x))(b (^y.y))) REDUCED to normal form. ------ 124052/12405207. ------ 1. ==[ start ]==> (((^a.b) b)((^a.b)((a a) a))) 2. ==[ alpha ]==> (((^x.b) b)((^y.b)((a a) a))) 3. ==[ beta ]==> (b ((^y.b)((a a) a))) 4. ==[ alpha ]==> (b ((^x.b)((a a) a))) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 124053/12405252. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((^z.z)(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((^y.(a a))(((^z.z)(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.(a a))(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124054/12405279. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((a (a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a a))(^y.(^z.z))) 6. ==[ alpha ]==> ((a (a a))(^x.(^y.y))) REDUCED to normal form. ------ 124055/12405333. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((a (^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((a (^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.(^x2.(^y2.y2))))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.(^x1.(^y1.y1))))) 7. ==[ beta ]==> ((a (^y.y))(^z.(^x1.(^y1.y1)))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124056/12405414. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.(^y1.y1))) b)) 3. ==[ beta ]==> (b ((a (^x1.(^y1.y1))) b)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 124057/12405423. ------ 1. ==[ start ]==> (((a b) b)((^a.(^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) b)((^x.(^y.(^z.z)))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b) b)(^y.(^z.z))) 4. ==[ alpha ]==> (((a b) b)(^x.(^y.y))) REDUCED to normal form. ------ 124058/12405477. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 124059/12405504. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^b.(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(a a)) REDUCED to normal form. ------ 124060/12405558. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^c.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. ------ 124061/12405585. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(a a)))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(z z)))((^x1.(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(z z)))((^x1.(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.x1))(^y1.(a a)))) 5. ==[ beta ]==> ((^y.(y y))((^z.(^x1.x1))(^y1.(a a)))) 6. ==[ alpha ]==> ((^x.(x x))((^y.(^z.z))(^x1.(a a)))) 7. ==[ beta ]==> (((^y.(^z.z))(^x1.(a a)))((^y.(^z.z))(^x1.(a a)))) 8. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.(a a)))) 9. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.(a a)))) 10. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(a a)))) 11. ==[ beta ]==> ((^y.(^z.z))(^x1.(a a))) 12. ==[ alpha ]==> ((^x.(^y.y))(^z.(a a))) 13. ==[ beta ]==> (^y.y) 14. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124062/12405612. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(y y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))((^z.(^x1.x1))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 124063/12405666. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.a))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(^y1.(^z1.(^x2.x2))))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(^y1.(^z1.z1))))) 5. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124064/12405702. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(a ((^y.y) b))) 3. ==[ beta ]==> (((a a)(a a))(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a)(a a))(a ((^x.x) b))) 5. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 124065/12405729. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((a (^y.(^z.z)))(a a))) REDUCED to normal form. ------ 124066/12405756. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((b a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((b a)(a (^y.y)))) 3. ==[ beta ]==> ((a ((a a) a))((b a)(a (^y.y)))) 4. ==[ alpha ]==> ((a ((a a) a))((b a)(a (^x.x)))) REDUCED to normal form. ------ 124067/12405783. ------ 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.x1) a))) 3. ==[ beta ]==> (((a (a a))(^y.y))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a (a a))(^x.x))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a (a a))(^x.x))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 124068/12405810. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (a a)))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (a a)))(((^z.z)(a a))(a (a a)))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((^z.z)(a a))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((^y.y)(a a))(a (a a)))) 5. ==[ beta ]==> ((a (a a))(((^y.y)(a a))(a (a a)))) 6. ==[ alpha ]==> ((a (a a))(((^x.x)(a a))(a (a a)))) 7. ==[ beta ]==> ((a (a a))((a a)(a (a a)))) REDUCED to normal form. ------ 124069/12405837. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a) a)((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> ((((a a) a) a)((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> ((((a a) a) a)((a b)(^y.y))) 6. ==[ alpha ]==> ((((a a) a) a)((a b)(^x.x))) REDUCED to normal form. ------ 124070/12405864. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))(((a a) a)((a a) a))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 124071/12405891. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a a))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a a))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y)(^z.z))(a b))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x)(^y.y))(a b))) 5. ==[ beta ]==> (((a a)(a a))((^y.y)(a b))) 6. ==[ alpha ]==> (((a a)(a a))((^x.x)(a b))) 7. ==[ beta ]==> (((a a)(a a))(a b)) REDUCED to normal form. ------ 124072/12405918. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))((a (a a))((^y.y)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 124073/12406089. ------ 1. ==[ start ]==> (((^a.b)(^b.a))(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> (b (((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 124074/12406098. ------ 1. ==[ start ]==> (((a b) c)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a b) c)((^x.(^y.y))((^z.z) a))) 3. ==[ beta ]==> (((a b) c)(^y.y)) 4. ==[ alpha ]==> (((a b) c)(^x.x)) REDUCED to normal form. ------ 124075/12406125. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> (((a a) b)((^y.(a a))(a (a a)))) 4. ==[ alpha ]==> (((a a) b)((^x.(a a))(a (a a)))) 5. ==[ beta ]==> (((a a) b)(a a)) REDUCED to normal form. ------ 124076/12406152. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.b)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a) b) REDUCED to normal form. ------ 124077/12406197. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(a a)))(((^x1.x1)(^y1.y1))(^z1.b))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.b)) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.b)) 7. ==[ beta ]==> ((^y.y)(^z.b)) 8. ==[ alpha ]==> ((^x.x)(^y.b)) 9. ==[ beta ]==> (^y.b) 10. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 124078/12406206. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.z)) REDUCED to normal form. ------ 124079/12406233. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(z z))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((a (^y.b))((^z.(z z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(y y))((^z.z)(a a)))) 5. ==[ beta ]==> ((a (^x.b))(((^z.z)(a a))((^z.z)(a a)))) 6. ==[ alpha ]==> ((a (^x.b))(((^y.y)(a a))((^z.z)(a a)))) 7. ==[ beta ]==> ((a (^x.b))((a a)((^z.z)(a a)))) 8. ==[ alpha ]==> ((a (^x.b))((a a)((^y.y)(a a)))) 9. ==[ beta ]==> ((a (^x.b))((a a)(a a))) REDUCED to normal form. ------ 124080/12406287. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.(^z1.z1))(b a))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.(^y1.y1))(b a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(b a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(b a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124081/12406314. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 124082/12406332. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a (^z.(^x1.x1))) a)) 3. ==[ beta ]==> (b ((a (^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((a (^x.(^y.y))) a)) REDUCED to normal form. ------ 124083/12406341. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(^z.(^x1.x1)))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 124084/12406593. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(b (b a))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(b (b a))) 3. ==[ beta ]==> (((a b) a)(b (b a))) REDUCED to normal form. ------ 124085/12406620. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(a (a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(a (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 124086/12406647. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((b a)(a a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((b a)(a a))) REDUCED to normal form. ------ 124087/12406674. ------ 1. ==[ start ]==> ((a (b a))(((a a)(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (b a))(((a a)(^x.x))(a (^y.y)))) REDUCED to normal form. ------ 124088/12406908. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(a (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(a (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124089/12406953. ------ 1. ==[ start ]==> (((^a.a)(b a))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(b a))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 124090/12406980. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((^x1.x1)(a a))(^y1.a))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(a a))(^y1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 124091/12407016. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^a.b)(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.b)(a (a a)))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.b)(a (a a)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.b)(a (a a)))) 5. ==[ beta ]==> ((a (^x.(a a))) b) REDUCED to normal form. ------ 124092/12407034. ------ 1. ==[ start ]==> (((^a.(a a))(a b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))(((a a) a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(((a a) a)(^y.(^z.z)))) 4. ==[ alpha ]==> (((a b)(a b))(((a a) a)(^x.(^y.y)))) REDUCED to normal form. ------ 124093/12407043. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^c.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) a) REDUCED to normal form. ------ 124094/12407097. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(z z))(a b))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 124095/12407115. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (b (((^y.y) a)(^z.(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.(a a)))) 5. ==[ beta ]==> (b (a (^y.(a a)))) 6. ==[ alpha ]==> (b (a (^x.(a a)))) REDUCED to normal form. ------ 124096/12407124. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x))) a) REDUCED to normal form. ------ 124097/12407151. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.a))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.a))(^y.y)) REDUCED to normal form. ------ 124098/12407178. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(b a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(b a)) REDUCED to normal form. ------ 124099/12407223. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a)(^x1.x1)) b)) REDUCED to normal form. ------ 124100/12407403. ------ 1. ==[ start ]==> (((a b)(a (a a)))(c ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))(c ((^x.x)(a a)))) 3. ==[ beta ]==> (((a b)(a (a a)))(c (a a))) REDUCED to normal form. ------ 124101/12407430. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))(b ((a a)(^z.z)))) 3. ==[ beta ]==> (((a a)((^y.y) a))(b ((a a)(^z.z)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))(b ((a a)(^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. ------ 124102/12407457. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(a (b a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(a (b a))) REDUCED to normal form. ------ 124103/12407511. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((^a.a)(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((^z.z)(a a))(a (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^x.(^y.y))))((a a)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a a)(a (^z.z)))) REDUCED to normal form. ------ 124104/12407520. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))((^b.(a a)) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))((^y1.(a a)) c)) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))((^y1.(a a)) c)) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(a a)) c)) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124105/12407790. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((a b)(^y1.a))) 3. ==[ beta ]==> ((^y.(^z.z))((a b)(^y1.a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a b)(^z.a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124106/12407799. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.b)((^x1.x1) a))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a) b) REDUCED to normal form. ------ 124107/12407817. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))(((a a) a)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(^z.(z z)))) REDUCED to normal form. ------ 124108/12407844. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((^a.a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(^x1.x1))) 7. ==[ beta ]==> ((^y.y)(^z.(^x1.x1))) 8. ==[ alpha ]==> ((^x.x)(^y.(^z.z))) 9. ==[ beta ]==> (^y.(^z.z)) 10. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124109/12407898. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))(((^z.z) a)(^x1.b))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.b))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))(((^y.y) a)(^z.b))) 7. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.b))) 8. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.b))) 9. ==[ beta ]==> (((a a)(a a))(a (^y.b))) 10. ==[ alpha ]==> (((a a)(a a))(a (^x.b))) REDUCED to normal form. ------ 124110/12407907. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^b.a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.a)(a b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a))) a) REDUCED to normal form. ------ 124111/12407934. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^a.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.b)((^y.(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124112/12407979. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(((a a)(^x1.x1)) a)) 3. ==[ beta ]==> (b (((a a)(^x1.x1)) a)) 4. ==[ alpha ]==> (b (((a a)(^x.x)) a)) REDUCED to normal form. ------ 124113/12407988. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^c.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 124114/12408015. ------ 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.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.(y y)))((^z.(a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.(a a))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.(x x)))(a a)) REDUCED to normal form. ------ 124115/12408042. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^a.b)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.b)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a)) b) REDUCED to normal form. ------ 124116/12408096. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.a))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.z))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.z))(^x1.x1)) REDUCED to normal form. ------ 124117/12408159. ------ 1. ==[ start ]==> (((a (^a.a))(b a))(c (a b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))(c (a b))) REDUCED to normal form. ------ 124118/12408186. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))(b ((^z.z)(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))(b ((^z.z)(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))(b ((^y.y)(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(b (a a))) REDUCED to normal form. ------ 124119/12408213. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(a ((a a)(^y.y)))) 3. ==[ beta ]==> (((a (a a))(a a))(a ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a (a a))(a a))(a ((a a)(^x.x)))) REDUCED to normal form. ------ 124120/12408240. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(((^z.z)(a a))(a a))) 3. ==[ beta ]==> (((^y.y)(a b))(((^z.z)(a a))(a a))) 4. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))(a a))) 5. ==[ beta ]==> ((a b)(((^y.y)(a a))(a a))) 6. ==[ alpha ]==> ((a b)(((^x.x)(a a))(a a))) 7. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 124121/12408267. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((a b)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((a b)(a (^x.x)))) REDUCED to normal form. ------ 124122/12408294. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))(((a a) a)((^z.z) a))) 3. ==[ beta ]==> (((a b)(^y.y))(((a a) a)((^z.z) a))) 4. ==[ alpha ]==> (((a b)(^x.x))(((a a) a)((^y.y) a))) 5. ==[ beta ]==> (((a b)(^x.x))(((a a) a) a)) REDUCED to normal form. ------ 124123/12408321. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((^a.a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((^y.y)(^z.z))(a (a a)))) 3. ==[ beta ]==> (((a a)(a (a a)))(((^y.y)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((^x.x)(^y.y))(a (a a)))) 5. ==[ beta ]==> (((a a)(a (a a)))((^y.y)(a (a a)))) 6. ==[ alpha ]==> (((a a)(a (a a)))((^x.x)(a (a a)))) 7. ==[ beta ]==> (((a a)(a (a a)))(a (a a))) REDUCED to normal form. ------ 124124/12408348. ------ 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))((a (a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((a (a a))(^z.z))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((a (a a))(^y.y))) REDUCED to normal form. ------ 124125/12408393. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(c (^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(c (^x1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(c (^x1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(c (^z.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124126/12408402. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a a))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a a))((a (^z.z))(a b))) REDUCED to normal form. ------ 124127/12408429. ------ 1. ==[ start ]==> ((a ((^a.a) b))((a a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))((a a)((^y.y)(a a)))) 3. ==[ beta ]==> ((a b)((a a)((^y.y)(a a)))) 4. ==[ alpha ]==> ((a b)((a a)((^x.x)(a a)))) 5. ==[ beta ]==> ((a b)((a a)(a a))) REDUCED to normal form. ------ 124128/12408465. ------ 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))(^x2.x2))) 3. ==[ beta ]==> ((^y.y)(((^z1.z1)(a a))(^x2.x2))) 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. ------ 124129/12408600. ------ 1. ==[ start ]==> (((^a.b)(^c.a))(((^a.a) a)(^c.a))) 2. ==[ alpha ]==> (((^x.b)(^y.a))(((^z.z) a)(^x1.a))) 3. ==[ beta ]==> (b (((^z.z) a)(^x1.a))) 4. ==[ alpha ]==> (b (((^x.x) a)(^y.a))) 5. ==[ beta ]==> (b (a (^y.a))) 6. ==[ alpha ]==> (b (a (^x.a))) REDUCED to normal form. ------ 124130/12408708. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))((a b) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))((a b) b)) 3. ==[ beta ]==> ((^y.(^z.z))((a b) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((a b) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124131/12408717. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b) b) REDUCED to normal form. ------ 124132/12408744. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^c.a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.a)(^z.a))) 3. ==[ beta ]==> ((b a)((^y.a)(^z.a))) 4. ==[ alpha ]==> ((b a)((^x.a)(^y.a))) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 124133/12408771. ------ 1. ==[ start ]==> (((a a)(^b.b))((^b.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 4. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124134/12408798. ------ 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.(y1 y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^z1.(^x2.x2))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))((^y1.(^z1.z1))(^x2.(^y2.y2)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 124135/12408879. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.x1)(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.x1)(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.z)(^x1.(a a)))) 5. ==[ beta ]==> ((^y.(a a))((^z.z)(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.(a a))((^y.y)(^z.(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124136/12408924. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^a.b) b)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b) b)) 3. ==[ beta ]==> (b ((^y.b) b)) 4. ==[ alpha ]==> (b ((^x.b) b)) 5. ==[ beta ]==> (b b) REDUCED to normal form. ------ 124137/12409068. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(b (^a.b))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(b (^z.b))) 3. ==[ beta ]==> ((b (^y.y))(b (^z.b))) 4. ==[ alpha ]==> ((b (^x.x))(b (^y.b))) REDUCED to normal form. ------ 124138/12409707. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(^x2.(^y2.y2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124139/12409743. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((^y.(y y))((^z.z) a))) 3. ==[ beta ]==> ((b b)((^y.(y y))((^z.z) a))) 4. ==[ alpha ]==> ((b b)((^x.(x x))((^y.y) a))) 5. ==[ beta ]==> ((b b)(((^y.y) a)((^y.y) a))) 6. ==[ alpha ]==> ((b b)(((^x.x) a)((^y.y) a))) 7. ==[ beta ]==> ((b b)(a ((^y.y) a))) 8. ==[ alpha ]==> ((b b)(a ((^x.x) a))) 9. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 124140/12409770. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^b.a)(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.a)(a (a a)))) 3. ==[ beta ]==> ((((a a)(a a)) a) a) REDUCED to normal form. ------ 124141/12409788. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((a (^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(a a))((a (^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(a a))((a (^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 124142/12409815. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a a)(^c.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. ------ 124143/12409824. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.z)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))((a a) a)) REDUCED to normal form. ------ 124144/12409869. ------ 1. ==[ start ]==> (((^a.(a a))(b a))(((^a.a)(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(x x))(b a))(((^y.y)(^z.z)) b)) 3. ==[ beta ]==> (((b a)(b a))(((^y.y)(^z.z)) b)) 4. ==[ alpha ]==> (((b a)(b a))(((^x.x)(^y.y)) b)) 5. ==[ beta ]==> (((b a)(b a))((^y.y) b)) 6. ==[ alpha ]==> (((b a)(b a))((^x.x) b)) 7. ==[ beta ]==> (((b a)(b a)) b) REDUCED to normal form. ------ 124145/12409932. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 124146/12409959. ------ 1. ==[ start ]==> (((a b)(^a.b))((^a.(^a.a))(^b.(^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. ------ 124147/12410094. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(c (^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(c (^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(c (^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(c (^z.(z z)))) REDUCED to normal form. ------ 124148/12410121. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))(b (^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))(b (^y.(^z.z)))) REDUCED to normal form. ------ 124149/12410238. ------ 1. ==[ start ]==> (((a (a a))(b a))(c d)) REDUCED to normal form. ------ 124150/12410427. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(a ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a ((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(a (^x1.x1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(a (^z.z))) REDUCED to normal form. ------ 124151/12410454. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((a (a a))(a a))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((a (a a))(a a))) 3. ==[ beta ]==> ((b (a (^y.y)))((a (a a))(a a))) 4. ==[ alpha ]==> ((b (a (^x.x)))((a (a a))(a a))) REDUCED to normal form. ------ 124152/12410481. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(a a))(((^x.x) a)(a (^y.y)))) 3. ==[ beta ]==> ((((a a)(a a))(a a))(a (a (^y.y)))) 4. ==[ alpha ]==> ((((a a)(a a))(a a))(a (a (^x.x)))) REDUCED to normal form. ------ 124153/12410508. ------ 1. ==[ start ]==> ((a (b (^a.a)))((a (^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((a (b (^x.x)))((a (^y.y))((^z.z) a))) 3. ==[ beta ]==> ((a (b (^x.x)))((a (^y.y)) a)) REDUCED to normal form. ------ 124154/12410598. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(((^a.a) a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(((^x2.x2) a)(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x2.x2) a)(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124155/12410679. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a (a a)) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a (a a)) a)) 3. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 124156/12410787. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.(a a)) a)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(y1 y1)) a)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(y1 y1)) a)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z)) a)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124157/12410823. ------ 1. ==[ start ]==> ((((^a.a) b) c)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(c (^y.(^z.z)))) 3. ==[ beta ]==> ((b c)(c (^y.(^z.z)))) 4. ==[ alpha ]==> ((b c)(c (^x.(^y.y)))) REDUCED to normal form. ------ 124158/12410850. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(b (^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(b (^x.a))) REDUCED to normal form. ------ 124159/12410895. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((b (^y.y))(((^z.z) a)(^x1.x1))) 4. ==[ alpha ]==> ((b (^x.x))(((^y.y) a)(^z.z))) 5. ==[ beta ]==> ((b (^x.x))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.x))(a (^y.y))) REDUCED to normal form. ------ 124160/12410922. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)((a (^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. ------ 124161/12410958. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 124162/12410976. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(((^x1.x1) a) a)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(((^y1.y1) a) a)) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(a a)) REDUCED to normal form. ------ 124163/12410985. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^b.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 124164/12411057. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.a) a)) 3. ==[ beta ]==> (b ((^z.a) a)) 4. ==[ alpha ]==> (b ((^x.a) a)) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 124165/12411066. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(c (^a.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(c (^y.y))) REDUCED to normal form. ------ 124166/12411093. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(b (^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(b (^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.b))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))(b (^y.(^z.z)))) REDUCED to normal form. ------ 124167/12411165. ------ 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)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((a a)(^z.(^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124168/12411174. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.x1)(a (^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(a (^x1.x1))) REDUCED to normal form. ------ 124169/12411201. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((b (^y.a))((^z.(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((b (^x.a))((^y.(^z.z))(^x1.x1))) 5. ==[ beta ]==> ((b (^x.a))(^z.z)) 6. ==[ alpha ]==> ((b (^x.a))(^y.y)) REDUCED to normal form. ------ 124170/12411228. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.(^y1.y1))) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 124171/12411291. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b a)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b a)) REDUCED to normal form. ------ 124172/12411318. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a b)) REDUCED to normal form. ------ 124173/12411345. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a (a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a (a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(a (a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(a (a a))) 5. ==[ beta ]==> ((a b)(a (a a))) REDUCED to normal form. ------ 124174/12411372. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a a)) REDUCED to normal form. ------ 124175/12413661. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(^z.((^x1.x1) b))) 3. ==[ beta ]==> (^y.((^z.((^x1.x1) b))(^z.((^x1.x1) b)))) 4. ==[ alpha ]==> (^x.((^y.((^z.z) b))(^x1.((^y1.y1) b)))) 5. ==[ beta ]==> (^x.((^z.z) b)) 6. ==[ alpha ]==> (^x.((^y.y) b)) 7. ==[ beta ]==> (^x.b) REDUCED to normal form. ------ 124176/12420000. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a)))) b) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y)))) b) REDUCED to normal form. ------ 124177/12420024. ------ 1. ==[ start ]==> ((^a.(^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124178/12420069. ------ 1. ==[ start ]==> ((^a.b)(c (^c.(a a)))) 2. ==[ alpha ]==> ((^x.b)(c (^y.(a a)))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 124179/12420105. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a a)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124180/12420339. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.b)((^x1.x1)(a a)))) 3. ==[ eta ]==> ((^y.y)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124181/12420609. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))(((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1))))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))((^z2.(^x3.(^y3.y3)))(^z3.(z3 z3))))) 5. ==[ beta ]==> ((^y.(^z.z))(((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))((^z2.(^x3.(^y3.y3)))(^z3.(z3 z3))))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))((^x2.(^y2.(^z2.z2)))(^x3.(x3 x3))))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124182/12420834. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))(c ((^x1.x1) b))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124183/12421602. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))(^c.(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(^x1.(^y1.(a a)))) REDUCED to normal form. ------ 124184/12421905. ------ 1. ==[ start ]==> ((^a.(a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x b))((^y.a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.a)(^z.(^x1.(^y1.y1)))) b) 4. ==[ alpha ]==> (((^x.a)(^y.(^z.(^x1.x1)))) b) 5. ==[ beta ]==> (a b) REDUCED to normal form. ------ 124185/12422292. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a a)((^z.z) b))) 3. ==[ beta ]==> (^y.(((a a)((^z.z) b))((a a)((^z.z) b)))) 4. ==[ alpha ]==> (^x.(((a a)((^y.y) b))((a a)((^z.z) b)))) 5. ==[ beta ]==> (^x.(((a a) b)((a a)((^z.z) b)))) 6. ==[ alpha ]==> (^x.(((a a) b)((a a)((^y.y) b)))) 7. ==[ beta ]==> (^x.(((a a) b)((a a) b))) REDUCED to normal form. ------ 124186/12422295. ------ 1. ==[ start ]==> ((a (^b.(a a)))(^c.((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(^y.((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(a a)))(^y.b)) REDUCED to normal form. ------ 124187/12422313. ------ 1. ==[ start ]==> (((a a)(a b))(^a.(^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(^x.(^y.(x x)))) REDUCED to normal form. ------ 124188/12422961. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(^b.(^b.b))) 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. ------ 124189/12423879. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(^z.(^x1.(^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. ------ 124190/12425472. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(^b.(^c.(^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. ------ 124191/12425685. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 124192/12425697. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(^c.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(^z.((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)(^z.((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)(^y.((^z.z)(a a)))) 5. ==[ beta ]==> (^y.((^z.z)(a a))) 6. ==[ alpha ]==> (^x.((^y.y)(a a))) 7. ==[ beta ]==> (^x.(a a)) REDUCED to normal form. ------ 124193/12426363. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(^z.(y y)))) 3. ==[ beta ]==> (((a a) b)(^y.(^z.(y y)))) 4. ==[ alpha ]==> (((a a) b)(^x.(^y.(x x)))) REDUCED to normal form. ------ 124194/12426552. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a)(^a.a)))(^b.(a b))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(^z.z)))(^x1.(a x1))) 3. ==[ eta ]==> ((((^x.x)(a a))((^y.y)(^z.z))) a) 4. ==[ beta ]==> (((a a)((^y.y)(^z.z))) a) 5. ==[ alpha ]==> (((a a)((^x.x)(^y.y))) a) 6. ==[ beta ]==> (((a a)(^y.y)) a) 7. ==[ alpha ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 124195/12426684. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))(((^y.a)(^z.(^x1.x1)))((^y.a)(^z.(^x1.x1))))) 4. ==[ alpha ]==> ((((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))(((^x2.a)(^y2.(^z2.z2)))((^x3.a)(^y3.(^z3.z3))))) 5. ==[ beta ]==> ((a ((^x1.a)(^y1.(^z1.z1))))(((^x2.a)(^y2.(^z2.z2)))((^x3.a)(^y3.(^z3.z3))))) 6. ==[ alpha ]==> ((a ((^x.a)(^y.(^z.z))))(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 7. ==[ beta ]==> ((a a)(((^x1.a)(^y1.(^z1.z1)))((^x2.a)(^y2.(^z2.z2))))) 8. ==[ alpha ]==> ((a a)(((^x.a)(^y.(^z.z)))((^x1.a)(^y1.(^z1.z1))))) 9. ==[ beta ]==> ((a a)(a ((^x1.a)(^y1.(^z1.z1))))) 10. ==[ alpha ]==> ((a a)(a ((^x.a)(^y.(^z.z))))) 11. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 124196/12427083. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))(^c.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.a))) REDUCED to normal form. ------ 124197/12427551. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))(^y.((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))(^x.(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 124198/12427686. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124199/12427764. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((^x.(b (^y.y)))(c (^z.a))) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124200/12428046. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^a.(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(y1 (y1 y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(y1 (y1 y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(z (z z)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124201/12428217. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(^c.(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(^z.(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(^z.(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(^y.(^z.a))) REDUCED to normal form. ------ 124202/12428316. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.((^x1.x1) z))) 3. ==[ eta ]==> (((^x.b)((^y.y)(a a)))(^x1.x1)) 4. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.z)) 5. ==[ beta ]==> (b (^z.z)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124203/12428550. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124204/12428577. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(a a))) REDUCED to normal form. ------ 124205/12428604. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 124206/12428631. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 124207/12428661. ------ 1. ==[ start ]==> ((a (^a.a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.x))((a (a a))(a (^y.(^z.z))))) REDUCED to normal form. ------ 124208/12428688. ------ 1. ==[ start ]==> (((^a.a)(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)((^x1.x1) b))) 3. ==[ beta ]==> ((^y.y)(((^z.z) a)((^x1.x1) b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((^z.z) b))) 5. ==[ beta ]==> (((^y.y) a)((^z.z) b)) 6. ==[ alpha ]==> (((^x.x) a)((^y.y) b)) 7. ==[ beta ]==> (a ((^y.y) b)) 8. ==[ alpha ]==> (a ((^x.x) b)) 9. ==[ beta ]==> (a b) REDUCED to normal form. ------ 124209/12428706. ------ 1. ==[ start ]==> ((a b)(c (^c.(a a)))) 2. ==[ alpha ]==> ((a b)(c (^x.(a a)))) REDUCED to normal form. ------ 124210/12428715. ------ 1. ==[ start ]==> (((^a.a)(a a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(a a))((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> ((a a)((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> ((a a)((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 124211/12428742. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a a)(b (^z.z)))) REDUCED to normal form. ------ 124212/12428778. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> ((^y.y)((b (^z.z))(^x1.x1))) 4. ==[ alpha ]==> ((^x.x)((b (^y.y))(^z.z))) 5. ==[ beta ]==> ((b (^y.y))(^z.z)) 6. ==[ alpha ]==> ((b (^x.x))(^y.y)) REDUCED to normal form. ------ 124213/12428805. ------ 1. ==[ start ]==> (((a a) b)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a) b)(((a a)(a a))(^x.(^y.y)))) REDUCED to normal form. ------ 124214/12428832. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((^y.y) b)(^z.a))) 3. ==[ beta ]==> (((a (^x.x)) a)(b (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) a)(b (^y.a))) REDUCED to normal form. ------ 124215/12428859. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 124216/12428886. ------ 1. ==[ start ]==> (((a (^a.a))(^a.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((b a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 124217/12428940. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((^z.z)(a a))(^x1.b))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 124218/12428949. ------ 1. ==[ start ]==> (((a (^a.a))(a a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(a b))) 3. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 124219/12428976. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.b)((^z.z)(a a)))) 3. ==[ beta ]==> ((a a)((^y.b)((^z.z)(a a)))) 4. ==[ alpha ]==> ((a a)((^x.b)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a) b) REDUCED to normal form. ------ 124220/12429048. ------ 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. ------ 124221/12429075. ------ 1. ==[ start ]==> (((a a)(^b.a))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.z))) 3. ==[ beta ]==> (((a a)(^x.a))(a (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.a))(a (^y.y))) REDUCED to normal form. ------ 124222/12429219. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a a))((^y.y)(^z.a))) 3. ==[ beta ]==> ((a (a a))((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a (a a))((^x.x)(^y.a))) 5. ==[ beta ]==> ((a (a a))(^y.a)) 6. ==[ alpha ]==> ((a (a a))(^x.a)) REDUCED to normal form. ------ 124223/12429246. ------ 1. ==[ start ]==> ((a (a (a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.(^y.(^z.z)))(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a (a (a a)))(^y.(^z.z))) 4. ==[ alpha ]==> ((a (a (a a)))(^x.(^y.y))) REDUCED to normal form. ------ 124224/12429471. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))(c ((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))(c ((^z.z) b))) 3. ==[ beta ]==> ((a (^x.(^y.y)))(c b)) REDUCED to normal form. ------ 124225/12429561. ------ 1. ==[ start ]==> (((^a.(a a)) b)((^c.(a a)) b)) 2. ==[ alpha ]==> (((^x.(x x)) b)((^y.(a a)) b)) 3. ==[ beta ]==> ((b b)((^y.(a a)) b)) 4. ==[ alpha ]==> ((b b)((^x.(a a)) b)) 5. ==[ beta ]==> ((b b)(a a)) REDUCED to normal form. ------ 124226/12429606. ------ 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)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124227/12429633. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((b a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((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. ------ 124228/12429687. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((^x1.x1)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))((a a) a))) 5. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))((a a) a))) 6. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((a a) a))) 7. ==[ beta ]==> (((^y.y)(a a))((a a) a)) 8. ==[ alpha ]==> (((^x.x)(a a))((a a) a)) 9. ==[ beta ]==> ((a a)((a a) a)) REDUCED to normal form. ------ 124229/12429741. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))(((a a) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((a a) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((a a) a)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.y)(((a a) a)((^z.z)(a a)))) 6. ==[ alpha ]==> ((^x.x)(((a a) a)((^y.y)(a a)))) 7. ==[ beta ]==> (((a a) a)((^y.y)(a a))) 8. ==[ alpha ]==> (((a a) a)((^x.x)(a a))) 9. ==[ beta ]==> (((a a) a)(a a)) REDUCED to normal form. ------ 124230/12429768. ------ 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))((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. ------ 124231/12429822. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a (^x.x))(a (^y.y)))(a (a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124232/12429948. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))((^b.b)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((a ((^y.y) a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((a a)((^y.y)(a (^z.z)))) 6. ==[ alpha ]==> ((a a)((^x.x)(a (^y.y)))) 7. ==[ beta ]==> ((a a)(a (^y.y))) 8. ==[ alpha ]==> ((a a)(a (^x.x))) REDUCED to normal form. ------ 124233/12429975. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 124234/12430182. ------ 1. ==[ start ]==> ((((a a) a) a)(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a) a) a)(((^x.x) a)(^y.(^z.(^x1.x1))))) 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. ------ 124235/12430236. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a a)(^c.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a a)(^x1.(a a)))) REDUCED to normal form. ------ 124236/12430263. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(((a a)(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(((a a)(a a)) a)) 3. ==[ beta ]==> ((a (^y.(y y)))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((a (^x.(x x)))(((a a)(a a)) a)) REDUCED to normal form. ------ 124237/12430290. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((^a.a) b) b)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((^y.y) b) b)) 3. ==[ beta ]==> (((a (a a))(^x.a))(b b)) REDUCED to normal form. ------ 124238/12430407. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(^a.a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(^z.z)))((^x1.(a a))(^y1.a))) 3. ==[ beta ]==> (((a (^x.x))(^z.z))((^x1.(a a))(^y1.a))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(a a))(^x1.a))) 5. ==[ beta ]==> (((a (^x.x))(^y.y))(a a)) REDUCED to normal form. ------ 124239/12430434. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^a.b)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.b)(^z.b))) 3. ==[ beta ]==> ((a (a (a a)))((^y.b)(^z.b))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> ((a (a (a a))) b) REDUCED to normal form. ------ 124240/12430488. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a (^a.a)))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(a (^z.z)))((^x1.(^y1.y1))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.z)) 8. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 124241/12430542. ------ 1. ==[ start ]==> ((a (a b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (a b))((^x.a)(^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 124242/12430551. ------ 1. ==[ start ]==> (((^a.a)(^a.b))(c (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))(c (a (^z.(^x1.x1))))) 3. ==[ beta ]==> ((^y.b)(c (a (^z.(^x1.x1))))) 4. ==[ alpha ]==> ((^x.b)(c (a (^y.(^z.z))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 124243/12430632. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(((^a.a) b)(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(a a))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(((^z.z) b)(a a))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(((^z.z) b)(a a))) IRREDUCIBLE: cycle. ------ 124244/12430713. ------ 1. ==[ start ]==> (((^a.b)(^a.a))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.y))(((a a)(^z.z))(a (a a)))) 3. ==[ beta ]==> (b (((a a)(^z.z))(a (a a)))) 4. ==[ alpha ]==> (b (((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 124245/12430740. ------ 1. ==[ start ]==> (((^a.a)(a b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((a b)(((^y.y)(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((a b)(((^x.x)(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> ((a b)((a a)((^y.y)(^z.z)))) 6. ==[ alpha ]==> ((a b)((a a)((^x.x)(^y.y)))) 7. ==[ beta ]==> ((a b)((a a)(^y.y))) 8. ==[ alpha ]==> ((a b)((a a)(^x.x))) REDUCED to normal form. ------ 124246/12430767. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a) a))((a b)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a) a))((a b)((a a) a))) 3. ==[ beta ]==> ((^y.y)((a b)((a a) a))) 4. ==[ alpha ]==> ((^x.x)((a b)((a a) a))) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 124247/12430821. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a (a a)))(((^x.x)(^y.y))((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)((^z.z)(a a)))) 6. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)((^y.y)(a a)))) 7. ==[ beta ]==> (((a (a a))(a (a a)))((^y.y)(a a))) 8. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.x)(a a))) 9. ==[ beta ]==> (((a (a a))(a (a a)))(a a)) REDUCED to normal form. ------ 124248/12430902. ------ 1. ==[ start ]==> (((^a.b)(a a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))((a (^y.y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (b ((a (^y.y))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (b ((a (^x.x))(a (^y.(^z.z))))) REDUCED to normal form. ------ 124249/12430929. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a a)((^a.a) b))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a a)((^y.y) b))) 3. ==[ beta ]==> ((a (^x.(a a)))((a a) b)) REDUCED to normal form. ------ 124250/12430947. ------ 1. ==[ start ]==> (((a a)(a b))(a (^c.(a a)))) 2. ==[ alpha ]==> (((a a)(a b))(a (^x.(a a)))) REDUCED to normal form. ------ 124251/12430974. ------ 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. ------ 124252/12431001. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.(^y1.(^z1.z1)))(a (^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((^z.(^x1.(^y1.y1)))(a (^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((^y.(^z.(^x1.x1)))(a (^y1.y1)))) 7. ==[ beta ]==> ((a (^x.x))(^z.(^x1.x1))) 8. ==[ alpha ]==> ((a (^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 124253/12431082. ------ 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. ------ 124254/12431100. ------ 1. ==[ start ]==> (((^a.b) b)((a b)(^c.a))) 2. ==[ alpha ]==> (((^x.b) b)((a b)(^y.a))) 3. ==[ beta ]==> (b ((a b)(^y.a))) 4. ==[ alpha ]==> (b ((a b)(^x.a))) REDUCED to normal form. ------ 124255/12431109. ------ 1. ==[ start ]==> (((a b)(a a))((^a.b)((a a) a))) 2. ==[ alpha ]==> (((a b)(a a))((^x.b)((a a) a))) 3. ==[ beta ]==> (((a b)(a a)) b) REDUCED to normal form. ------ 124256/12431316. ------ 1. ==[ start ]==> (((a b) b)((a (^a.(^a.a))) b)) 2. ==[ alpha ]==> (((a b) b)((a (^x.(^y.y))) b)) REDUCED to normal form. ------ 124257/12431343. ------ 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. ------ 124258/12431595. ------ 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))) 5. ==[ beta ]==> (((a a)(a a))(^y.y)) 6. ==[ alpha ]==> (((a a)(a a))(^x.x)) REDUCED to normal form. ------ 124259/12431847. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))(((^a.a) a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))(((^x1.x1) a)((a a)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)((a a)(^z.z)))) 5. ==[ beta ]==> (((^y.y) a)((a a)(^z.z))) 6. ==[ alpha ]==> (((^x.x) a)((a a)(^y.y))) 7. ==[ beta ]==> (a ((a a)(^y.y))) 8. ==[ alpha ]==> (a ((a a)(^x.x))) REDUCED to normal form. ------ 124260/12431991. ------ 1. ==[ start ]==> (((a b) c)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a b) c)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 124261/12432018. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a) b)(((^y.y)(a a))(^z.(z z)))) 4. ==[ alpha ]==> (((a a) b)(((^x.x)(a a))(^y.(y y)))) 5. ==[ beta ]==> (((a a) b)((a a)(^y.(y y)))) 6. ==[ alpha ]==> (((a a) b)((a a)(^x.(x x)))) REDUCED to normal form. ------ 124262/12432045. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 124263/12432099. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a)))((^x1.x1)(^y1.b))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.z)(^x1.b))) 5. ==[ beta ]==> (((a (^x.x))(^y.(a a)))(^x1.b)) 6. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(^z.b)) REDUCED to normal form. ------ 124264/12432126. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((a (a a))(^z.(a a)))) 3. ==[ beta ]==> ((a (^y.b))((a (a a))(^z.(a a)))) 4. ==[ alpha ]==> ((a (^x.b))((a (a a))(^y.(a a)))) REDUCED to normal form. ------ 124265/12432207. ------ 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.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124266/12432234. ------ 1. ==[ start ]==> (((a b)(^b.a))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((a (^y.(^z.z))) a)) REDUCED to normal form. ------ 124267/12432261. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((b a) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((b a) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((b a) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((b a) b)) REDUCED to normal form. ------ 124268/12432324. ------ 1. ==[ start ]==> (((a a)((a a)(^a.a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a a)((a a)(^x.x)))((^y.(a a))(^z.(z z)))) 3. ==[ beta ]==> (((a a)((a a)(^x.x)))(a a)) REDUCED to normal form. ------ 124269/12432351. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.b)(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(a a)) b) REDUCED to normal form. ------ 124270/12432378. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^c.a)(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.a)(^z.a))) 3. ==[ beta ]==> ((a (a b))((^y.a)(^z.a))) 4. ==[ alpha ]==> ((a (a b))((^x.a)(^y.a))) 5. ==[ beta ]==> ((a (a b)) a) REDUCED to normal form. ------ 124271/12432405. ------ 1. ==[ start ]==> (((a (a a))((a a) a))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> (((a (a a))((a a) a))((^x.(^y.y))(^z.b))) 3. ==[ beta ]==> (((a (a a))((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a (a a))((a a) a))(^x.x)) REDUCED to normal form. ------ 124272/12432432. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(y1 y1))(^z1.(a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(x1 x1))(^y1.(a a)))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(z z))(^x1.(a a)))) 7. ==[ beta ]==> ((^y.y)((^z.(z z))(^x1.(a a)))) 8. ==[ alpha ]==> ((^x.x)((^y.(y y))(^z.(a a)))) 9. ==[ beta ]==> ((^y.(y y))(^z.(a a))) 10. ==[ alpha ]==> ((^x.(x x))(^y.(a a))) 11. ==[ beta ]==> ((^y.(a a))(^y.(a a))) 12. ==[ alpha ]==> ((^x.(a a))(^y.(a a))) 13. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124273/12432459. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^b.a)(^c.(^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. ------ 124274/12432513. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (((a a)(a (^y.y)))((^z.z)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))((^y.y)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> (((a a)(a (^x.x)))(^z.(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (((a a)(a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124275/12432657. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))(((a a) a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.b)(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))(((a a) a)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (b (((a a) a)((^z.z)(^x1.x1)))) 6. ==[ alpha ]==> (b (((a a) a)((^x.x)(^y.y)))) 7. ==[ beta ]==> (b (((a a) a)(^y.y))) 8. ==[ alpha ]==> (b (((a a) a)(^x.x))) REDUCED to normal form. ------ 124276/12432738. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))(((^a.a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))(((^z.z) a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (b (((^z.z) a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)((^y.y)(a a)))) 5. ==[ beta ]==> (b (a ((^y.y)(a a)))) 6. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 7. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 124277/12432909. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((a b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((a b)(^z.(z z)))) 3. ==[ beta ]==> ((a (^y.(a a)))((a b)(^z.(z z)))) 4. ==[ alpha ]==> ((a (^x.(a a)))((a b)(^y.(y y)))) REDUCED to normal form. ------ 124278/12432936. ------ 1. ==[ start ]==> (((a (a a))(^a.b))(((a a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 124279/12432990. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))(^z.b))) REDUCED to normal form. ------ 124280/12433017. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))(((^y.y) a)(^z.(a a)))) 3. ==[ beta ]==> (((a b)(^x.(x x)))(a (^z.(a a)))) 4. ==[ alpha ]==> (((a b)(^x.(x x)))(a (^y.(a a)))) REDUCED to normal form. ------ 124281/12433044. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((a (^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.a))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 124282/12433134. ------ 1. ==[ start ]==> (((a a)(b a))((^c.(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(b a))(^y.y)) 4. ==[ alpha ]==> (((a a)(b a))(^x.x)) REDUCED to normal form. ------ 124283/12433161. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(^a.a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(^y.y)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(^y.y)))(a a)) REDUCED to normal form. ------ 124284/12433188. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.b)(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)(^z.(z z)))) 5. ==[ beta ]==> ((a (a a))((^y.b)(^z.(z z)))) 6. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(y y)))) 7. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 124285/12433215. ------ 1. ==[ start ]==> (((a (a a))(a b))((^c.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> (((a (a a))(a b)) a) REDUCED to normal form. ------ 124286/12433242. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a) a))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a) a))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> (((^y.y)((a a) a))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> (((a a) a)((^y.(^z.z))(^x1.a))) 6. ==[ alpha ]==> (((a a) a)((^x.(^y.y))(^z.a))) 7. ==[ beta ]==> (((a a) a)(^y.y)) 8. ==[ alpha ]==> (((a a) a)(^x.x)) REDUCED to normal form. ------ 124287/12433269. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(z z))(^x1.b))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(z z))(^x1.b))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(y y))(^z.b))) 5. ==[ beta ]==> ((((a a) a)(^x.x))((^z.b)(^z.b))) 6. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.b)(^z.b))) 7. ==[ beta ]==> ((((a a) a)(^x.x)) b) REDUCED to normal form. ------ 124288/12433296. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.a)(^y.(a a)))) 3. ==[ beta ]==> (((a b)(a (a a))) a) REDUCED to normal form. ------ 124289/12433413. ------ 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)(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((^y1.y1)(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((^x1.x1)(a a))(a (^y1.y1)))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124290/12433494. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((^a.a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> ((a a)(((^z.z)(^x1.x1))((^y1.y1)(^z1.z1)))) 6. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> ((a a)((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> ((a a)((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 10. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 11. ==[ beta ]==> ((a a)(^y.y)) 12. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 124291/12433575. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))((a (^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((a (^x1.x1))((^y1.y1)(a a)))) 3. ==[ beta ]==> (b ((a (^x1.x1))((^y1.y1)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((^y.y)(a a)))) 5. ==[ beta ]==> (b ((a (^x.x))(a a))) REDUCED to normal form. ------ 124292/12433692. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((a b)(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a b)(^z.a))) REDUCED to normal form. ------ 124293/12433719. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))(((a a) a)(^x1.(x1 x1)))) REDUCED to normal form. ------ 124294/12433800. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))(((^y.y) a)(^z.b))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(a (^z.b))) 4. ==[ alpha ]==> (((a (a a))(^x.(a a)))(a (^y.b))) REDUCED to normal form. ------ 124295/12433827. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((a (^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((a (^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.b))((a (^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((a (^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((^y.b)((a (^z.z))(^x1.(a a)))) 6. ==[ alpha ]==> ((^x.b)((a (^y.y))(^z.(a a)))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124296/12433881. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(((a a)(^z.z)) a)) REDUCED to normal form. ------ 124297/12433908. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((^z.z)(a a)) b)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((^z.z)(a a)) b)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((^y.y)(a a)) b)) 5. ==[ beta ]==> (((a a)(^x.(x x)))((a a) b)) REDUCED to normal form. ------ 124298/12433935. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((a b) c)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((a b) c)) REDUCED to normal form. ------ 124299/12434052. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^b.a)(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 124300/12434079. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.(^x1.x1))(^y1.(a a)))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(^z.z)) 6. ==[ alpha ]==> ((a ((a a)(^x.x)))(^y.y)) REDUCED to normal form. ------ 124301/12434322. ------ 1. ==[ start ]==> ((a ((^a.a) b))(b (^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) b))(b (^y.(a a)))) 3. ==[ beta ]==> ((a b)(b (^y.(a a)))) 4. ==[ alpha ]==> ((a b)(b (^x.(a a)))) REDUCED to normal form. ------ 124302/12434331. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((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))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 124303/12434610. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((a b) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((a b) b)) REDUCED to normal form. ------ 124304/12434637. ------ 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. ------ 124305/12434799. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^b.(a a)) a)) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.(a a)) a)) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a a)) REDUCED to normal form. ------ 124306/12434817. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((a b)(a a))) 2. ==[ alpha ]==> (((^x.b)((a a) a))((a b)(a a))) 3. ==[ beta ]==> (b ((a b)(a a))) REDUCED to normal form. ------ 124307/12434826. ------ 1. ==[ start ]==> (((a b)(^c.a))((^a.b) b)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.b) b)) 3. ==[ beta ]==> (((a b)(^x.a)) b) REDUCED to normal form. ------ 124308/12434853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^c.a) c)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.a) c)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.a) c)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.a) c)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 124309/12434925. ------ 1. ==[ start ]==> (((^a.(^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)(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1) a)((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124310/12434997. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(a (^y.(a a)))) 3. ==[ beta ]==> (((a a) b)(a (^y.(a a)))) 4. ==[ alpha ]==> (((a a) b)(a (^x.(a a)))) REDUCED to normal form. ------ 124311/12435024. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((^a.b)(a a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((^x1.b)(a a))) 3. ==[ beta ]==> (((a (^x.x))(a (^y.(^z.z)))) b) REDUCED to normal form. ------ 124312/12435051. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^c.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.a)(a (^z.z)))) 3. ==[ beta ]==> ((a (b a))((^y.a)(a (^z.z)))) 4. ==[ alpha ]==> ((a (b a))((^x.a)(a (^y.y)))) 5. ==[ beta ]==> ((a (b a)) a) REDUCED to normal form. ------ 124313/12435078. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.(^z.z))((^x1.x1) 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. ------ 124314/12435105. ------ 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))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(x1 x1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(z z))(a (a a)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(z z))(a (a a)))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(y y))(a (a a)))) 7. ==[ beta ]==> ((a a)((^y.(y y))(a (a a)))) 8. ==[ alpha ]==> ((a a)((^x.(x x))(a (a a)))) 9. ==[ beta ]==> ((a a)((a (a a))(a (a a)))) REDUCED to normal form. ------ 124315/12435132. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b)) a) REDUCED to normal form. ------ 124316/12435159. ------ 1. ==[ start ]==> (((a b)((a a) a))((^a.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.(^y.y))((a a) a))) 3. ==[ beta ]==> (((a b)((a a) a))(^y.y)) 4. ==[ alpha ]==> (((a b)((a a) a))(^x.x)) REDUCED to normal form. ------ 124317/12435186. ------ 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)(a b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.x1)(a b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.z)(a b))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.z)(a b))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.y)(a b))) 7. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 124318/12435213. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.b)(^a.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.b)(^z.z))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a))) b) REDUCED to normal form. ------ 124319/12435267. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(a (^a.a)))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.z)))((^x1.(^y1.y1))(^z1.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. ------ 124320/12435294. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((b (a a))((^y.(y y))(^z.(z z)))) 4. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.(y y)))) 5. ==[ beta ]==> ((b (a a))((^y.(y y))(^y.(y y)))) 6. ==[ alpha ]==> ((b (a a))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 124321/12435321. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^b.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.a)(^y.(^z.z)))) 3. ==[ beta ]==> ((a ((a a)(a a))) a) REDUCED to normal form. ------ 124322/12435357. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(b ((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(b ((a a) a))) 3. ==[ beta ]==> ((^y.y)(b ((a a) a))) 4. ==[ alpha ]==> ((^x.x)(b ((a a) a))) 5. ==[ beta ]==> (b ((a a) a)) REDUCED to normal form. ------ 124323/12435492. ------ 1. ==[ start ]==> (((^a.b)(^a.b))(((^a.a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.b))(((^z.z) a)(a (a a)))) 3. ==[ beta ]==> (b (((^z.z) a)(a (a a)))) 4. ==[ alpha ]==> (b (((^x.x) a)(a (a a)))) 5. ==[ beta ]==> (b (a (a (a a)))) REDUCED to normal form. ------ 124324/12435636. ------ 1. ==[ start ]==> ((((^a.a) b) b)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b) b)((a (a a))(^y.a))) 3. ==[ beta ]==> ((b b)((a (a a))(^y.a))) 4. ==[ alpha ]==> ((b b)((a (a a))(^x.a))) REDUCED to normal form. ------ 124325/12435663. ------ 1. ==[ start ]==> ((((a a)(a a)) a)(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)(^y.(y y)))) 3. ==[ beta ]==> ((((a a)(a a)) a)(a (^y.(y y)))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(a (^x.(x x)))) REDUCED to normal form. ------ 124326/12435717. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a a)(^z.a))) REDUCED to normal form. ------ 124327/12435744. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(^a.(^a.a))))(((a a) a) a)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.(^x1.x1))))(((a a) a) a)) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))(((a a) a) a)) 4. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(((a a) a) a)) REDUCED to normal form. ------ 124328/12435843. ------ 1. ==[ start ]==> (((^a.b)(a b))(c (a (a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))(c (a (a a)))) 3. ==[ beta ]==> (b (c (a (a a)))) REDUCED to normal form. ------ 124329/12435906. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^c.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. ------ 124330/12435951. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((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. ------ 124331/12435960. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^a.(a a)) c)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(c c)) REDUCED to normal form. ------ 124332/12436077. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))((^z.(^x1.x1))(a a))) 3. ==[ beta ]==> (((a (^x.x)) b)((^z.(^x1.x1))(a a))) 4. ==[ alpha ]==> (((a (^x.x)) b)((^y.(^z.z))(a a))) 5. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 6. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 124333/12436104. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(x1 x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(z z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))((a (^x1.x1))(a (^x1.x1)))) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (^z.z))(a (^x1.x1)))) REDUCED to normal form. ------ 124334/12436131. ------ 1. ==[ start ]==> (((a (a a))(b a))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.a)((^y.y) a))) 3. ==[ beta ]==> (((a (a a))(b a)) a) REDUCED to normal form. ------ 124335/12436158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^a.(^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.(^y1.y1))(a (a a)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.(^x1.x1))(a (a a)))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))(a (a a)))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))(a (a a)))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124336/12436185. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((^y.y)((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))((^y.y)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)((^y.y)(^z.z)))) 5. ==[ beta ]==> ((((a a) a)(a a))((^y.y)(^z.z))) 6. ==[ alpha ]==> ((((a a) a)(a a))((^x.x)(^y.y))) 7. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 8. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 124337/12436212. ------ 1. ==[ start ]==> (((a b)(a b))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a b)(a b))((^x.(^y.y))(^z.z))) 3. ==[ beta ]==> (((a b)(a b))(^y.y)) 4. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 124338/12436239. ------ 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.(^x1.x1)))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(y y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 8. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 124339/12436266. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^b.a)(^b.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.a)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^z.z))((^x1.a)(^y1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.y)) a) REDUCED to normal form. ------ 124340/12436320. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.x1)(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.x1)(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.z)(^x1.(^y1.y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.(^x1.x1))) REDUCED to normal form. ------ 124341/12436401. ------ 1. ==[ start ]==> ((a (b (^a.a)))(c (^b.a))) 2. ==[ alpha ]==> ((a (b (^x.x)))(c (^y.a))) REDUCED to normal form. ------ 124342/12436680. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(a (a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(a (a (a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(a (a (a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(a (a (a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124343/12436716. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^b.a) b)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.a) b)) 3. ==[ beta ]==> ((b c)((^y.a) b)) 4. ==[ alpha ]==> ((b c)((^x.a) b)) 5. ==[ beta ]==> ((b c) a) REDUCED to normal form. ------ 124344/12436743. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^a.(^a.a)) c)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.(^y.y)) c)) 3. ==[ beta ]==> ((((a a)(a a)) b)(^y.y)) 4. ==[ alpha ]==> ((((a a)(a a)) b)(^x.x)) REDUCED to normal form. ------ 124345/12436851. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a a)(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a a)(^z.a))) 3. ==[ beta ]==> ((a (^y.y))((a a)(^z.a))) 4. ==[ alpha ]==> ((a (^x.x))((a a)(^y.a))) REDUCED to normal form. ------ 124346/12436878. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(((^a.a) a) a)) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(((^x1.x1) a) a)) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(a a)) REDUCED to normal form. ------ 124347/12436950. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(a ((^z.z) a))) 3. ==[ beta ]==> (b (a ((^z.z) a))) 4. ==[ alpha ]==> (b (a ((^x.x) a))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 124348/12436959. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^b.a) a)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.a) a)) 3. ==[ beta ]==> (((a b)(^x.(a a))) a) REDUCED to normal form. ------ 124349/12436986. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^a.(^a.a)) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.(^x1.x1)) b)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.(^x1.x1)) b)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.(^z.z)) b)) 5. ==[ beta ]==> (((a a)(^x.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 124350/12437058. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(b b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(b b)) 3. ==[ beta ]==> ((^y.(^z.z))(b b)) 4. ==[ alpha ]==> ((^x.(^y.y))(b b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124351/12437067. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a a)(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124352/12437094. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a (^z.z)) a)) 3. ==[ beta ]==> ((b (^y.a))((a (^z.z)) a)) 4. ==[ alpha ]==> ((b (^x.a))((a (^y.y)) a)) REDUCED to normal form. ------ 124353/12437121. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a a) b)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a a) b)) REDUCED to normal form. ------ 124354/12437184. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 124355/12437211. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((^a.a)(a a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((^y.y)(a a))) 3. ==[ beta ]==> (((a (^x.x))((a a)(a a)))(a a)) REDUCED to normal form. ------ 124356/12437238. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(^z.z))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.z))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.y))) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 124357/12437265. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (^z.z))) REDUCED to normal form. ------ 124358/12437781. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))(^z.(z (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 124359/12446028. ------ 1. ==[ start ]==> (((^a.a) b)(^c.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> (b (^y.(b (^z.z)))) 4. ==[ alpha ]==> (b (^x.(b (^y.y)))) REDUCED to normal form. ------ 124360/12446061. ------ 1. ==[ start ]==> ((^a.(a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((^x.(x (^y.y)))((b (^z.z))(^x1.x1))) 3. ==[ beta ]==> (((b (^z.z))(^x1.x1))(^y.y)) 4. ==[ alpha ]==> (((b (^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 124361/12446250. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((a b)(^z.(a a)))) 3. ==[ eta ]==> ((^y.y)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)((a b)(^y.(a a)))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 124362/12446421. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.z)(b (^x1.x1)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 124363/12446424. ------ 1. ==[ start ]==> ((a (^a.(a a)))(^b.(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))(^y.(y (^z.z)))) REDUCED to normal form. ------ 124364/12446745. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.a)(^y1.y1))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124365/12446871. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124366/12447303. ------ 1. ==[ start ]==> ((^a.((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.((x x) x))(((a a)(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> (((((a a)(^y.y))(^z.(^x1.x1)))(((a a)(^y.y))(^z.(^x1.x1))))(((a a)(^y.y))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((((a a)(^x.x))(^y.(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1))))(((a a)(^x2.x2))(^y2.(^z2.z2)))) REDUCED to normal form. ------ 124367/12448203. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(b (^z.z))) 3. ==[ beta ]==> (^y.((b (^z.z))(b (^z.z)))) 4. ==[ alpha ]==> (^x.((b (^y.y))(b (^z.z)))) REDUCED to normal form. ------ 124368/12448410. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.y)((((a a) a)(^z.b))(((a a) a)(^z.b)))) 4. ==[ alpha ]==> ((^x.x)((((a a) a)(^y.b))(((a a) a)(^z.b)))) 5. ==[ beta ]==> ((((a a) a)(^y.b))(((a a) a)(^z.b))) 6. ==[ alpha ]==> ((((a a) a)(^x.b))(((a a) a)(^y.b))) REDUCED to normal form. ------ 124369/12449502. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b (^z.(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b (^x.(a (^y.(^z.z))))) REDUCED to normal form. ------ 124370/12450078. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)(^c.(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)(^y.(b a))) REDUCED to normal form. ------ 124371/12451149. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.((a a)(^y1.y1)))) 3. ==[ beta ]==> (b (^x1.((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b (^x.((a a)(^y.y)))) REDUCED to normal form. ------ 124372/12451281. ------ 1. ==[ start ]==> ((^a.(^b.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124373/12452076. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^y.(y y))) REDUCED to normal form. ------ 124374/12453183. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^a.((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.((x1 x1) x1))) REDUCED to normal form. ------ 124375/12453675. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.a) c)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124376/12453849. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^b.(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(a (a a)))) 3. ==[ beta ]==> (b (^z.(a (a a)))) 4. ==[ alpha ]==> (b (^x.(a (a a)))) REDUCED to normal form. ------ 124377/12453957. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(^b.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(^y1.(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124378/12454065. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((b (^y.y))(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((b (^x.x))(^y.(^z.(z z)))) REDUCED to normal form. ------ 124379/12454146. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(^x1.((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(^y1.a)) REDUCED to normal form. ------ 124380/12454227. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.(^x1.a))) 3. ==[ beta ]==> (b (^z.(^x1.a))) 4. ==[ alpha ]==> (b (^x.(^y.a))) REDUCED to normal form. ------ 124381/12454236. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^a.((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.((^z.z) y))) 3. ==[ eta ]==> (((a b)(^x.(a a)))(^z.z)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 124382/12454371. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^a.c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.c)) 3. ==[ beta ]==> ((b (^y.a))(^z.c)) 4. ==[ alpha ]==> ((b (^x.a))(^y.c)) REDUCED to normal form. ------ 124383/12454461. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^b.b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.y)) REDUCED to normal form. ------ 124384/12454515. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.a)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.a)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.a)) 5. ==[ beta ]==> ((a b)(^y.a)) 6. ==[ alpha ]==> ((a b)(^x.a)) REDUCED to normal form. ------ 124385/12454542. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.a)) REDUCED to normal form. ------ 124386/12454590. ------ 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. ------ 124387/12454617. ------ 1. ==[ start ]==> (((a a) a)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a) a)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> (((a a) a)(a ((^y.y) b))) 4. ==[ alpha ]==> (((a a) a)(a ((^x.x) b))) 5. ==[ beta ]==> (((a a) a)(a b)) REDUCED to normal form. ------ 124388/12454644. ------ 1. ==[ start ]==> (((a a)(^a.a))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))((a a)(a a)))) REDUCED to normal form. ------ 124389/12454671. ------ 1. ==[ start ]==> (((^a.a) b)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.x) b)((a a)(b (^y.y)))) 3. ==[ beta ]==> (b ((a a)(b (^y.y)))) 4. ==[ alpha ]==> (b ((a a)(b (^x.x)))) REDUCED to normal form. ------ 124390/12454707. ------ 1. ==[ start ]==> ((a (a (^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> ((a (a (^x.x)))((b (^y.y))(^z.z))) REDUCED to normal form. ------ 124391/12454770. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.y))((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((a (^x.x))((^z.z) a)) 6. ==[ alpha ]==> ((a (^x.x))((^y.y) a)) 7. ==[ beta ]==> ((a (^x.x)) a) REDUCED to normal form. ------ 124392/12454797. ------ 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)))(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(a (a a))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(a (a a))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124393/12454869. ------ 1. ==[ start ]==> (((a (^a.a))(a a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> (((a (^x.x))(a a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> (((a (^x.x))(a a))((a a)(^z.b))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((a a)(^y.b))) REDUCED to normal form. ------ 124394/12454896. ------ 1. ==[ start ]==> ((a ((^a.a) a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> ((a ((^x.x) a))((a b)(^y.(a a)))) 3. ==[ beta ]==> ((a a)((a b)(^y.(a a)))) 4. ==[ alpha ]==> ((a a)((a b)(^x.(a a)))) REDUCED to normal form. ------ 124395/12454905. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.b)((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.a)((^z.b)((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.a)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 124396/12454986. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(z z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((^y.y) a)((^z.(z z))(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> (a ((^y.(y y))(a (^z.(^x1.x1))))) 6. ==[ alpha ]==> (a ((^x.(x x))(a (^y.(^z.z))))) 7. ==[ beta ]==> (a ((a (^y.(^z.z)))(a (^y.(^z.z))))) 8. ==[ alpha ]==> (a ((a (^x.(^y.y)))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124397/12455013. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> ((^y.y)((^x1.a)((^y1.y1) b))) 4. ==[ alpha ]==> ((^x.x)((^y.a)((^z.z) b))) 5. ==[ beta ]==> ((^y.a)((^z.z) b)) 6. ==[ alpha ]==> ((^x.a)((^y.y) b)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 124398/12455067. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> ((a (^x.(x x)))(b (^z.z))) 4. ==[ alpha ]==> ((a (^x.(x x)))(b (^y.y))) REDUCED to normal form. ------ 124399/12455085. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a a)((^x.x) a))((b (^y.y)) a)) 3. ==[ beta ]==> (((a a) a)((b (^y.y)) a)) 4. ==[ alpha ]==> (((a a) a)((b (^x.x)) a)) REDUCED to normal form. ------ 124400/12455112. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))(((a a)(a a)) b)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))(((a a)(a a)) b)) REDUCED to normal form. ------ 124401/12455139. ------ 1. ==[ start ]==> ((((^a.a) a)(a a))(((^a.a) b) c)) 2. ==[ alpha ]==> ((((^x.x) a)(a a))(((^y.y) b) c)) 3. ==[ beta ]==> ((a (a a))(((^y.y) b) c)) 4. ==[ alpha ]==> ((a (a a))(((^x.x) b) c)) 5. ==[ beta ]==> ((a (a a))(b c)) REDUCED to normal form. ------ 124402/12455175. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(y y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(x x))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 6. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 7. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.(^x2.x2)))(^y2.(y2 y2)))) 8. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.(^y1.y1)))(^z1.(z1 z1)))) 9. ==[ beta ]==> (^y.y) 10. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124403/12455256. ------ 1. ==[ start ]==> (((^a.(a a))(^a.a))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.y))((^z.(a a))(^x1.b))) 3. ==[ beta ]==> (((^y.y)(^y.y))((^z.(a a))(^x1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(a a))(^x1.b))) 5. ==[ beta ]==> ((^y.y)((^z.(a a))(^x1.b))) 6. ==[ alpha ]==> ((^x.x)((^y.(a a))(^z.b))) 7. ==[ beta ]==> ((^y.(a a))(^z.b)) 8. ==[ alpha ]==> ((^x.(a a))(^y.b)) 9. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124404/12455283. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> ((a (a a))((^y.b)(^z.(a a)))) 4. ==[ alpha ]==> ((a (a a))((^x.b)(^y.(a a)))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 124405/12455364. ------ 1. ==[ start ]==> (((^a.(a a))(a a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(x x))(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a a)(a a))((^y.(y y))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a a)(a a))((^x.(x x))(^y.(^z.(^x1.x1))))) 5. ==[ beta ]==> (((a a)(a a))((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a)(a a))((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))) 7. ==[ beta ]==> (((a a)(a a))(^y.(^z.z))) 8. ==[ alpha ]==> (((a a)(a a))(^x.(^y.y))) REDUCED to normal form. ------ 124406/12455391. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.a)(^x1.x1))) 3. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 124407/12455481. ------ 1. ==[ start ]==> (((^a.(a a)) b)(((a a)(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x)) b)(((a a)(a a))(a a))) 3. ==[ beta ]==> ((b b)(((a a)(a a))(a a))) REDUCED to normal form. ------ 124408/12455517. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z) c)) 3. ==[ beta ]==> ((a (^y.y))((^z.z) c)) 4. ==[ alpha ]==> ((a (^x.x))((^y.y) c)) 5. ==[ beta ]==> ((a (^x.x)) c) REDUCED to normal form. ------ 124409/12455616. ------ 1. ==[ start ]==> (((a (a a)) b)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a)) b)(((^x.x)(a a))((a a) a))) 3. ==[ beta ]==> (((a (a a)) b)((a a)((a a) a))) REDUCED to normal form. ------ 124410/12455643. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)((a b)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)((a b)(a b))) 3. ==[ beta ]==> (((^y.y) a)((a b)(a b))) 4. ==[ alpha ]==> (((^x.x) a)((a b)(a b))) 5. ==[ beta ]==> (a ((a b)(a b))) REDUCED to normal form. ------ 124411/12455670. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(((a a) a)(a a))) REDUCED to normal form. ------ 124412/12455697. ------ 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))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((^z.z)((a a)(^x1.x1)))) 5. ==[ beta ]==> (((a (^x.x))(^y.(y y)))((a a)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))((a a)(^z.z))) REDUCED to normal form. ------ 124413/12455724. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))((a (a a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))((a (a a))(b a))) 3. ==[ beta ]==> ((a (^y.a))((a (a a))(b a))) 4. ==[ alpha ]==> ((a (^x.a))((a (a a))(b a))) REDUCED to normal form. ------ 124414/12455751. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(((^z.z) a)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y)))(a (a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))(a (a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124415/12455778. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))((a (^a.a))((^a.a) b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))((a (^x1.x1))((^y1.y1) b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a (^x1.x1))((^y1.y1) b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))((^x1.x1) b))) 5. ==[ beta ]==> ((^y.y)((a (^z.z))((^x1.x1) b))) 6. ==[ alpha ]==> ((^x.x)((a (^y.y))((^z.z) b))) 7. ==[ beta ]==> ((a (^y.y))((^z.z) b)) 8. ==[ alpha ]==> ((a (^x.x))((^y.y) b)) 9. ==[ beta ]==> ((a (^x.x)) b) REDUCED to normal form. ------ 124416/12455841. ------ 1. ==[ start ]==> (((a (^a.a))(a (a a)))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (a a)))(((a a)(a a))(^y.y))) REDUCED to normal form. ------ 124417/12455868. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a ((^y.y) a))(((^z.z) b)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y) b)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a a)(((^y.y) b)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a a)(((^x.x) b)(^y.(^z.z)))) 7. ==[ beta ]==> ((a a)(b (^y.(^z.z)))) 8. ==[ alpha ]==> ((a a)(b (^x.(^y.y)))) REDUCED to normal form. ------ 124418/12455895. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))((a (^y.(^z.z)))(^x1.a))) REDUCED to normal form. ------ 124419/12455922. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((b a)(^z.(z z)))) 3. ==[ beta ]==> (((^y.y)(a a))((b a)(^z.(z z)))) 4. ==[ alpha ]==> (((^x.x)(a a))((b a)(^y.(y y)))) 5. ==[ beta ]==> ((a a)((b a)(^y.(y y)))) 6. ==[ alpha ]==> ((a a)((b a)(^x.(x x)))) REDUCED to normal form. ------ 124420/12455949. ------ 1. ==[ start ]==> ((a ((a a) a))(((a a)(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a ((a a) a))(((a a)(^x.x))(^y.(^z.z)))) REDUCED to normal form. ------ 124421/12455985. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^b.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(a a))((a 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. ------ 124422/12456039. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^c.a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.a)((^x1.x1)(a a)))) 5. ==[ beta ]==> (a ((^z.a)((^x1.x1)(a a)))) 6. ==[ alpha ]==> (a ((^x.a)((^y.y)(a a)))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124423/12456120. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.a)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a) a)((^y.a)(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a) a)((^x.a)(a (^y.(^z.z))))) 5. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 124424/12456147. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^a.(^a.a))((^a.a) b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))((^x2.x2) b))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2) 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. ------ 124425/12456471. ------ 1. ==[ start ]==> (((^a.a)(^a.b))((^b.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.b)((^z.a)(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.b)((^y.a)(^z.(^x1.(^y1.y1))))) 5. ==[ beta ]==> b REDUCED to normal form. ------ 124426/12456615. ------ 1. ==[ start ]==> ((((a a) a) b)((b a)((^a.a) a))) 2. ==[ alpha ]==> ((((a a) a) b)((b a)((^x.x) a))) 3. ==[ beta ]==> ((((a a) a) b)((b a) a)) REDUCED to normal form. ------ 124427/12456642. ------ 1. ==[ start ]==> (((a b) a)(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a b) a)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 124428/12456669. ------ 1. ==[ start ]==> (((a a)(^a.b))(((^a.a)(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((^y.y)(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^x.b))((a a)((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.b))((a a)((^y.y)(^z.z)))) 5. ==[ beta ]==> (((a a)(^x.b))((a a)(^z.z))) 6. ==[ alpha ]==> (((a a)(^x.b))((a a)(^y.y))) REDUCED to normal form. ------ 124429/12456723. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))(((a a) a)(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))(((a a) a)(a b))) 3. ==[ beta ]==> ((a (^y.(^z.z)))(((a a) a)(a b))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))(((a a) a)(a b))) REDUCED to normal form. ------ 124430/12456750. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((^y.y)(^z.z))((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)((^z.z)(a a)))) 5. ==[ beta ]==> (((a (a a))(^x.(x x)))((^z.z)(a a))) 6. ==[ alpha ]==> (((a (a a))(^x.(x x)))((^y.y)(a a))) 7. ==[ beta ]==> (((a (a a))(^x.(x x)))(a a)) REDUCED to normal form. ------ 124431/12456777. ------ 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 REDUCED to normal form. ------ 124432/12456804. ------ 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. ------ 124433/12456822. ------ 1. ==[ start ]==> (((^a.b)(a a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)(a a))(c (^y.(^z.(^x1.x1))))) 3. ==[ beta ]==> (b (c (^y.(^z.(^x1.x1))))) 4. ==[ alpha ]==> (b (c (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 124434/12456831. ------ 1. ==[ start ]==> (((a b)(^a.a))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124435/12456849. ------ 1. ==[ start ]==> ((a (^b.(a a)))(b (^b.b))) 2. ==[ alpha ]==> ((a (^x.(a a)))(b (^y.y))) REDUCED to normal form. ------ 124436/12456894. ------ 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. ------ 124437/12456921. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((a (^a.(^a.a)))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((a (^x1.(^y1.y1)))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((a (^y.y))((a (^z.(^x1.x1)))(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((a (^x.x))((a (^y.(^z.z)))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124438/12456948. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((b a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((b a)(^x.a))) REDUCED to normal form. ------ 124439/12456975. ------ 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. ------ 124440/12457002. ------ 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. ------ 124441/12457029. ------ 1. ==[ start ]==> (((a b)(a a))((a b)(^c.a))) 2. ==[ alpha ]==> (((a b)(a a))((a b)(^x.a))) REDUCED to normal form. ------ 124442/12457056. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))(((a a) a)(^y.b))) 3. ==[ beta ]==> ((a (a a))(((a a) a)(^y.b))) 4. ==[ alpha ]==> ((a (a a))(((a a) a)(^x.b))) REDUCED to normal form. ------ 124443/12457065. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))((^c.a)(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.a)(a b))) 3. ==[ beta ]==> ((^y.(a a))((^z.a)(a b))) 4. ==[ alpha ]==> ((^x.(a a))((^y.a)(a b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124444/12457092. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))((^b.(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))((^x1.(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(a a)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124445/12457146. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(^a.a)))((^b.a)(b a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))((^x1.a)(b a))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))((^x1.a)(b a))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.a)(b a))) 5. ==[ beta ]==> ((^y.y)((^y1.a)(b a))) 6. ==[ alpha ]==> ((^x.x)((^y.a)(b a))) 7. ==[ beta ]==> ((^y.a)(b a)) 8. ==[ alpha ]==> ((^x.a)(b a)) 9. ==[ beta ]==> a REDUCED to normal form. ------ 124446/12457227. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))((^b.b)(^a.a))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))((^x1.x1)(^y1.y1))) 3. ==[ beta ]==> (b ((^x1.x1)(^y1.y1))) 4. ==[ alpha ]==> (b ((^x.x)(^y.y))) 5. ==[ beta ]==> (b (^y.y)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124447/12457308. ------ 1. ==[ start ]==> (((^a.(^a.a))(a b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124448/12457362. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 3. ==[ beta ]==> ((((^y.y)(^z.z))((^y.y)(^z.z)))((^x1.b)(^y1.a))) 4. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 5. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.b)(^z1.a))) 6. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.b)(^y1.a))) 7. ==[ beta ]==> (((^y.y)(^z.z))((^x1.b)(^y1.a))) 8. ==[ alpha ]==> (((^x.x)(^y.y))((^z.b)(^x1.a))) 9. ==[ beta ]==> ((^y.y)((^z.b)(^x1.a))) 10. ==[ alpha ]==> ((^x.x)((^y.b)(^z.a))) 11. ==[ beta ]==> ((^y.b)(^z.a)) 12. ==[ alpha ]==> ((^x.b)(^y.a)) 13. ==[ beta ]==> b REDUCED to normal form. ------ 124449/12457443. ------ 1. ==[ start ]==> (((^a.b)(a (^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(a (^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((^y.(^z.z))(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124450/12457542. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^b.b) a)) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y) a)) 3. ==[ beta ]==> (((a (^x.x))(a b)) a) REDUCED to normal form. ------ 124451/12457569. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((^a.(^a.(^a.a))) b)) 2. ==[ alpha ]==> ((((^x.x) a)((a a) 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. ------ 124452/12457668. ------ 1. ==[ start ]==> (((^a.b) c)((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) c)((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (b ((a b)((^y.y)(^z.z)))) 4. ==[ alpha ]==> (b ((a b)((^x.x)(^y.y)))) 5. ==[ beta ]==> (b ((a b)(^y.y))) 6. ==[ alpha ]==> (b ((a b)(^x.x))) REDUCED to normal form. ------ 124453/12457983. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((^a.b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.b)((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (((a a)(^y.y))((^z.b)((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((^y.b)((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^x.x)) b) REDUCED to normal form. ------ 124454/12458064. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((^a.(a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((^y.(y y))((^z.z)(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((^y.(y y))((^z.z)(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(x x))((^y.y)(a a)))) 5. ==[ beta ]==> ((((a a) a)((a a) a))(((^y.y)(a a))((^y.y)(a a)))) 6. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))((^y.y)(a a)))) 7. ==[ beta ]==> ((((a a) a)((a a) a))((a a)((^y.y)(a a)))) 8. ==[ alpha ]==> ((((a a) a)((a a) a))((a a)((^x.x)(a a)))) 9. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 124455/12458145. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((^z.z)(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((^z.z)(a (^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((^x.x)(a (^y.(^z.z))))) 5. ==[ beta ]==> (b (a (^y.(^z.z)))) 6. ==[ alpha ]==> (b (a (^x.(^y.y)))) REDUCED to normal form. ------ 124456/12458460. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.(^z.(^x1.x1))) a)) 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. ------ 124457/12458721. ------ 1. ==[ start ]==> ((((a a)(^a.a)) b)((a a)(b a))) 2. ==[ alpha ]==> ((((a a)(^x.x)) b)((a a)(b a))) REDUCED to normal form. ------ 124458/12458847. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a b)(a b))((^y.b)(a (a a)))) 4. ==[ alpha ]==> (((a b)(a b))((^x.b)(a (a a)))) 5. ==[ beta ]==> (((a b)(a b)) b) REDUCED to normal form. ------ 124459/12458928. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((^y.(y y))(a b))) 3. ==[ beta ]==> (b ((^y.(y y))(a b))) 4. ==[ alpha ]==> (b ((^x.(x x))(a b))) 5. ==[ beta ]==> (b ((a b)(a b))) REDUCED to normal form. ------ 124460/12459054. ------ 1. ==[ start ]==> (((a a)(b a))(((a a)(^a.a)) b)) 2. ==[ alpha ]==> (((a a)(b a))(((a a)(^x.x)) b)) REDUCED to normal form. ------ 124461/12459315. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((a a)(^x1.x1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((a a)(^z.z))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124462/12459495. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(c (^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(c (^x1.(a a)))) 3. ==[ beta ]==> (b (c (^x1.(a a)))) 4. ==[ alpha ]==> (b (c (^x.(a a)))) REDUCED to normal form. ------ 124463/12459603. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.a))((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.x1))((^y1.(a a))(a (^z1.z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(a a))(a (^z1.z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124464/12459630. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.b)((^y1.y1) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.b)((^x1.x1) a))) 5. ==[ beta ]==> ((a (^x.(^y.y))) b) REDUCED to normal form. ------ 124465/12459657. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))((^c.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))((^z.a)(a (a a)))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a (a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (a a)))) 5. ==[ beta ]==> ((^y.a)(a (a a))) 6. ==[ alpha ]==> ((^x.a)(a (a a))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 124466/12459711. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a)(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y)(a a)))((^z.(z z))((a a) a))) 3. ==[ beta ]==> ((((^y.y)(a a))((^y.y)(a a)))((^z.(z z))((a a) a))) 4. ==[ alpha ]==> ((((^x.x)(a a))((^y.y)(a a)))((^z.(z z))((a a) a))) 5. ==[ beta ]==> (((a a)((^y.y)(a a)))((^z.(z z))((a a) a))) 6. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(y y))((a a) a))) 7. ==[ beta ]==> (((a a)(a a))((^y.(y y))((a a) a))) 8. ==[ alpha ]==> (((a a)(a a))((^x.(x x))((a a) a))) 9. ==[ beta ]==> (((a a)(a a))(((a a) a)((a a) a))) REDUCED to normal form. ------ 124467/12459792. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((^x1.x1)((a a)(^y1.y1)))) 3. ==[ beta ]==> (b ((^x1.x1)((a a)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.x)((a a)(^y.y)))) 5. ==[ beta ]==> (b ((a a)(^y.y))) 6. ==[ alpha ]==> (b ((a a)(^x.x))) REDUCED to normal form. ------ 124468/12459927. ------ 1. ==[ start ]==> ((a (^b.b))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^x.x))(^z.z)) 4. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 124469/12460053. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^c.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> (((^y.y)(a b))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((a b)((^y.(^z.z)) a)) 6. ==[ alpha ]==> ((a b)((^x.(^y.y)) a)) 7. ==[ beta ]==> ((a b)(^y.y)) 8. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 124470/12460080. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))((^b.(a a)) b)) 2. ==[ alpha ]==> ((((a a) a)((a a) a))((^x.(a a)) b)) 3. ==[ beta ]==> ((((a a) a)((a a) a))(a a)) REDUCED to normal form. ------ 124471/12460107. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((^a.b) c)) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((^z.b) c)) 3. ==[ beta ]==> (((a b)(^y.y))((^z.b) c)) 4. ==[ alpha ]==> (((a b)(^x.x))((^y.b) c)) 5. ==[ beta ]==> (((a b)(^x.x)) b) REDUCED to normal form. ------ 124472/12460206. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) b)(((^a.a) a)((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) b)(((^x1.x1) a)((a a) a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)((a a) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)((a a) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124473/12460251. ------ 1. ==[ start ]==> (((^a.a)(^b.b))(b (^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.y))(b (^z.(a a)))) 3. ==[ beta ]==> ((^y.y)(b (^z.(a a)))) 4. ==[ alpha ]==> ((^x.x)(b (^y.(a a)))) 5. ==[ beta ]==> (b (^y.(a a))) 6. ==[ alpha ]==> (b (^x.(a a))) REDUCED to normal form. ------ 124474/12460413. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((^a.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((^z.(z z))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> (b ((^z.(z z))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> (b ((^x.(x x))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))((^y.y)(^z.z)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))((^z.z)(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)((^z.z)(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)((^y.y)(^z.z)))) 9. ==[ beta ]==> (b ((^y.y)(^z.z))) 10. ==[ alpha ]==> (b ((^x.x)(^y.y))) 11. ==[ beta ]==> (b (^y.y)) 12. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124475/12460521. ------ 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))(^x2.x2))) 3. ==[ beta ]==> ((^y.(^z.z))((^z1.(a a))(^x2.x2))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(a a))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124476/12460575. ------ 1. ==[ start ]==> (((^a.a)((^a.a) b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) b))((^z.a)(^x1.a))) 3. ==[ beta ]==> (((^y.y) b)((^z.a)(^x1.a))) 4. ==[ alpha ]==> (((^x.x) b)((^y.a)(^z.a))) 5. ==[ beta ]==> (b ((^y.a)(^z.a))) 6. ==[ alpha ]==> (b ((^x.a)(^y.a))) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 124477/12460602. ------ 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.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(z z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124478/12460656. ------ 1. ==[ start ]==> (((^a.(a a))((a a)(^a.a)))((^b.a)(^c.a))) 2. ==[ alpha ]==> (((^x.(x x))((a a)(^y.y)))((^z.a)(^x1.a))) 3. ==[ beta ]==> ((((a a)(^y.y))((a a)(^y.y)))((^z.a)(^x1.a))) 4. ==[ alpha ]==> ((((a a)(^x.x))((a a)(^y.y)))((^z.a)(^x1.a))) 5. ==[ beta ]==> ((((a a)(^x.x))((a a)(^y.y))) a) REDUCED to normal form. ------ 124479/12460692. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))(b (a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))(b (a b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))(b (a b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))(b (a b))) 5. ==[ beta ]==> ((^y.(a a))(b (a b))) 6. ==[ alpha ]==> ((^x.(a a))(b (a b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124480/12460719. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(a ((^y.y)(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(a (a a))) REDUCED to normal form. ------ 124481/12460746. ------ 1. ==[ start ]==> (((a b)(^c.a))((a b)(a a))) 2. ==[ alpha ]==> (((a b)(^x.a))((a b)(a a))) REDUCED to normal form. ------ 124482/12460773. ------ 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. ------ 124483/12460800. ------ 1. ==[ start ]==> ((((a 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) a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z)((^x1.x1) a))) 5. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y)))((^x1.x1) a)) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.(y y)))((^z.z) a)) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.(y y))) a) REDUCED to normal form. ------ 124484/12460854. ------ 1. ==[ start ]==> (((a (^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)(^x2.x2)))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a ((^y1.y1)(^z1.z1)))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^z1.z1))) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(^x1.x1)))(a (^y1.y1))) REDUCED to normal form. ------ 124485/12460881. ------ 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. ------ 124486/12460944. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))((a b)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))((a b)(^x1.x1))) REDUCED to normal form. ------ 124487/12460971. ------ 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. ------ 124488/12460998. ------ 1. ==[ start ]==> (((a (a a))((a a)(^a.a)))(((^a.a)(^a.a))(^b.a))) 2. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(((^y.y)(^z.z))(^x1.a))) 3. ==[ beta ]==> (((a (a a))((a a)(^x.x)))((^z.z)(^x1.a))) 4. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))((^y.y)(^z.a))) 5. ==[ beta ]==> (((a (a a))((a a)(^x.x)))(^z.a)) 6. ==[ alpha ]==> (((a (a a))((a a)(^x.x)))(^y.a)) REDUCED to normal form. ------ 124489/12461025. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((a (a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((a (a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((a (a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((a (a a))(^z.(z z)))) 5. ==[ beta ]==> (((^y.y)(a a))((a (a a))(^z.(z z)))) 6. ==[ alpha ]==> (((^x.x)(a a))((a (a a))(^y.(y y)))) 7. ==[ beta ]==> ((a a)((a (a a))(^y.(y y)))) 8. ==[ alpha ]==> ((a a)((a (a a))(^x.(x x)))) REDUCED to normal form. ------ 124490/12461052. ------ 1. ==[ start ]==> ((((a a) a)(a b))(((^a.a) a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))(((^x.x) a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a b))(a (^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a b))(a (^x.(^y.y)))) REDUCED to normal form. ------ 124491/12461079. ------ 1. ==[ start ]==> (((a b)((a a) a))((a (^a.a))(^c.a))) 2. ==[ alpha ]==> (((a b)((a a) a))((a (^x.x))(^y.a))) REDUCED to normal form. ------ 124492/12461106. ------ 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)(^x1.b))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((a a)(^x1.b))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)(^z.b))) 5. ==[ beta ]==> (((a a)(^y.y))((a a)(^z.b))) 6. ==[ alpha ]==> (((a a)(^x.x))((a a)(^y.b))) REDUCED to normal form. ------ 124493/12461133. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((a b) a)) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((a b) a)) REDUCED to normal form. ------ 124494/12461277. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))((^a.(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))((^x1.(^y1.y1))(^z1.a))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((^y.(^z.z))(^x1.a)) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124495/12461520. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))((^c.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))((^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. ------ 124496/12461601. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))((^b.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))((^y.a)(a (a a)))) 3. ==[ beta ]==> (((a a)(a a))((^y.a)(a (a a)))) 4. ==[ alpha ]==> (((a a)(a a))((^x.a)(a (a a)))) 5. ==[ beta ]==> (((a a)(a a)) a) REDUCED to normal form. ------ 124497/12461628. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) b))((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.y1))((^z1.z1)(^x2.x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124498/12461682. ------ 1. ==[ start ]==> (((^a.(a a))(b a))((^c.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. ------ 124499/12461763. ------ 1. ==[ start ]==> (((^a.b)(a b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(a b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (b ((^y.a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((^x.a)(^y.(y y)))) 5. ==[ beta ]==> (b a) REDUCED to normal form. ------ 124500/12461772. ------ 1. ==[ start ]==> (((a b)(^a.b))(c (a (a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))(c (a (a a)))) REDUCED to normal form. ------ 124501/12461826. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(a ((a a) a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(a ((a a) a))) REDUCED to normal form. ------ 124502/12461880. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((a (a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((a (a a))(a (^x1.x1)))) REDUCED to normal form. ------ 124503/12461907. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))(((^a.a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 3. ==[ beta ]==> ((b (^y.(^z.z)))(((^x1.x1) a)((^y1.y1) a))) 4. ==[ alpha ]==> ((b (^x.(^y.y)))(((^z.z) a)((^x1.x1) a))) 5. ==[ beta ]==> ((b (^x.(^y.y)))(a ((^x1.x1) a))) 6. ==[ alpha ]==> ((b (^x.(^y.y)))(a ((^z.z) a))) 7. ==[ beta ]==> ((b (^x.(^y.y)))(a a)) REDUCED to normal form. ------ 124504/12461934. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.a))((a (^a.a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.x))((a (^y.y))(a (a a)))) REDUCED to normal form. ------ 124505/12461997. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(((^a.a)(^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(((^z.z)(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x)) b)(((^z.z)(^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x)) b)(((^y.y)(^z.z))(^x1.x1))) 5. ==[ beta ]==> (((a (^x.x)) b)((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((a (^x.x)) b)((^y.y)(^z.z))) 7. ==[ beta ]==> (((a (^x.x)) b)(^z.z)) 8. ==[ alpha ]==> (((a (^x.x)) b)(^y.y)) REDUCED to normal form. ------ 124506/12462024. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((a (a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((a (a a))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((a (a a))(^z.(^x1.x1)))) REDUCED to normal form. ------ 124507/12462051. ------ 1. ==[ start ]==> (((a (a a))(b a))(((^a.a) a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(b a))(((^x.x) a)(^y.a))) 3. ==[ beta ]==> (((a (a a))(b a))(a (^y.a))) 4. ==[ alpha ]==> (((a (a a))(b a))(a (^x.a))) REDUCED to normal form. ------ 124508/12462078. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((a (^a.a))(^a.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((a (^x1.x1))(^y1.(y1 y1)))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a (^z.z))(^x1.(x1 x1)))) 5. ==[ beta ]==> (((a a)(^y.y))((a (^z.z))(^x1.(x1 x1)))) 6. ==[ alpha ]==> (((a a)(^x.x))((a (^y.y))(^z.(z z)))) REDUCED to normal form. ------ 124509/12462105. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(a a)))((a a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(a a)))((a a)(^y.(^z.z)))) 3. ==[ beta ]==> ((((a a) a)(a a))((a a)(^y.(^z.z)))) 4. ==[ alpha ]==> ((((a a) a)(a a))((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 124510/12462132. ------ 1. ==[ start ]==> (((a b)(a b))(((^a.a)(^a.a)) a)) 2. ==[ alpha ]==> (((a b)(a b))(((^x.x)(^y.y)) a)) 3. ==[ beta ]==> (((a b)(a b))((^y.y) a)) 4. ==[ alpha ]==> (((a b)(a b))((^x.x) a)) 5. ==[ beta ]==> (((a b)(a b)) a) REDUCED to normal form. ------ 124511/12462159. ------ 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. ------ 124512/12462267. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^b.(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.(^x1.x1)) a)) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.(^x1.x1)) a)) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.(^z.z)) a)) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.z)) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.y)) REDUCED to normal form. ------ 124513/12462294. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((^a.(a a)) b)) 2. ==[ alpha ]==> ((((a a)(a a))(a a))((^x.(x x)) b)) 3. ==[ beta ]==> ((((a a)(a a))(a a))(b b)) REDUCED to normal form. ------ 124514/12462321. ------ 1. ==[ start ]==> ((a (b (^a.a)))((^b.a) c)) 2. ==[ alpha ]==> ((a (b (^x.x)))((^y.a) c)) 3. ==[ beta ]==> ((a (b (^x.x))) a) REDUCED to normal form. ------ 124515/12462411. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((^a.(a a))(a a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((^y1.(y1 y1))(a a))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((^x2.(x2 x2))(a a))) 5. ==[ beta ]==> ((^y.(^z.z))((^x2.(x2 x2))(a a))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.(z z))(a a))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124516/12462492. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((^a.a)(a (a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((^z.z)(a (a a)))) 3. ==[ beta ]==> (b ((^z.z)(a (a a)))) 4. ==[ alpha ]==> (b ((^x.x)(a (a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 124517/12462600. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))((^a.a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))((^y1.y1)(^z1.(z1 z1)))) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.y1)(^z1.(z1 z1)))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(x1 x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124518/12462636. ------ 1. ==[ start ]==> ((((^a.a) b) c)(((^a.a) a)(a a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(((^y.y) a)(a a))) 3. ==[ beta ]==> ((b c)(((^y.y) a)(a a))) 4. ==[ alpha ]==> ((b c)(((^x.x) a)(a a))) 5. ==[ beta ]==> ((b c)(a (a a))) REDUCED to normal form. ------ 124519/12462663. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((a (^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 124520/12462708. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(a (^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(a (^z.(z z)))) 3. ==[ beta ]==> ((b (^y.y))(a (^z.(z z)))) 4. ==[ alpha ]==> ((b (^x.x))(a (^y.(y y)))) REDUCED to normal form. ------ 124521/12462735. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))((^b.a)(a a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))((^z.a)(a a))) 3. ==[ beta ]==> ((^y.y)((^z.a)(a a))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a a))) 5. ==[ beta ]==> ((^y.a)(a a)) 6. ==[ alpha ]==> ((^x.a)(a a)) 7. ==[ beta ]==> a REDUCED to normal form. ------ 124522/12462771. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))(b c)) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))(b c)) 3. ==[ beta ]==> ((a (^y.y))(b c)) 4. ==[ alpha ]==> ((a (^x.x))(b c)) REDUCED to normal form. ------ 124523/12462789. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1)((^z1.z1) a))) 5. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^z1.z1) a)) 6. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((^y1.y1) a)) 7. ==[ beta ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1)))) a) REDUCED to normal form. ------ 124524/12462870. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((^z.z)(^x1.a))) 3. ==[ beta ]==> (b ((^z.z)(^x1.a))) 4. ==[ alpha ]==> (b ((^x.x)(^y.a))) 5. ==[ beta ]==> (b (^y.a)) 6. ==[ alpha ]==> (b (^x.a)) REDUCED to normal form. ------ 124525/12462879. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(a ((^a.a) a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(a ((^y.y) a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(a a)) REDUCED to normal form. ------ 124526/12462906. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((a (^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((a (^z.z))(a a))) 3. ==[ beta ]==> (((a a)(^y.b))((a (^z.z))(a a))) 4. ==[ alpha ]==> (((a a)(^x.b))((a (^y.y))(a a))) REDUCED to normal form. ------ 124527/12462978. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124528/12462987. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))(b b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(b b)) REDUCED to normal form. ------ 124529/12463014. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(a c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(a c)) 3. ==[ beta ]==> ((b (^y.a))(a c)) 4. ==[ alpha ]==> ((b (^x.a))(a c)) REDUCED to normal form. ------ 124530/12463041. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))(b (a a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(b (a a))) REDUCED to normal form. ------ 124531/12463104. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((^a.a) b)) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((^y.y) b)) 3. ==[ beta ]==> (((a a)(b (^x.x))) b) REDUCED to normal form. ------ 124532/12463131. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))((a a)(^a.a))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))((a a)(^y.y))) REDUCED to normal form. ------ 124533/12463158. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((a a) a)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((a a) a)) 3. ==[ beta ]==> ((a ((^y.y) b))((a a) a)) 4. ==[ alpha ]==> ((a ((^x.x) b))((a a) a)) 5. ==[ beta ]==> ((a b)((a a) a)) REDUCED to normal form. ------ 124534/12463185. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a) a)) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z) a)) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y)))) a) REDUCED to normal form. ------ 124535/12463211. ------ 1. ==[ start ]==> (^a.(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (^x.(((^y.y)(^z.z))(b x))) 3. ==[ beta ]==> (^x.((^z.z)(b x))) 4. ==[ alpha ]==> (^x.((^y.y)(b x))) 5. ==[ beta ]==> (^x.(b x)) 6. ==[ eta ]==> b REDUCED to normal form. ------ 124536/12463212. ------ 1. ==[ start ]==> (a (((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (a (((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> (a ((^y.y)(b a))) 4. ==[ alpha ]==> (a ((^x.x)(b a))) 5. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 124537/12471858. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a)) a) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a)) a) 3. ==[ beta ]==> (((^y.y)(b a)) a) 4. ==[ alpha ]==> (((^x.x)(b a)) a) 5. ==[ beta ]==> ((b a) a) REDUCED to normal form. ------ 124538/12471864. ------ 1. ==[ start ]==> ((^a.a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (((^y.y)(^z.z))(b a)) 4. ==[ alpha ]==> (((^x.x)(^y.y))(b a)) 5. ==[ beta ]==> ((^y.y)(b a)) 6. ==[ alpha ]==> ((^x.x)(b a)) 7. ==[ beta ]==> (b a) REDUCED to normal form. ------ 124539/12471891. ------ 1. ==[ start ]==> ((^a.(a a))((a (a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(x x))((a (a a))(a (^y.(^z.z))))) 3. ==[ beta ]==> (((a (a a))(a (^y.(^z.z))))((a (a a))(a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((a (a a))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124540/12471918. ------ 1. ==[ start ]==> ((^a.b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((^x.b)(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> b REDUCED to normal form. ------ 124541/12472116. ------ 1. ==[ start ]==> ((^a.(^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (^y.((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (^x.((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 124542/12472758. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(^a.(b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(^z.(b (^x1.x1)))) 3. ==[ beta ]==> ((a (a (^y.y)))(^z.(b (^x1.x1)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(^y.(b (^z.z)))) REDUCED to normal form. ------ 124543/12472809. ------ 1. ==[ start ]==> ((^a.((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((^x.((^y.y)(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(^z.z)) 4. ==[ alpha ]==> ((^x.x)(^y.y)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124544/12473478. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))(^b.((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.((a a)(a a)))) REDUCED to normal form. ------ 124545/12474162. ------ 1. ==[ start ]==> (((a a)(a b))(^c.((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))(^x.((^y.y) b))) 3. ==[ beta ]==> (((a a)(a b))(^x.b)) REDUCED to normal form. ------ 124546/12474837. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^a.((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.((^z.z) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^y.b)) REDUCED to normal form. ------ 124547/12475023. ------ 1. ==[ start ]==> ((^a.((a a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((x x)(^y.y)))(((^z.z)(^x1.x1))(a b))) 3. ==[ beta ]==> (((((^z.z)(^x1.x1))(a b))(((^z.z)(^x1.x1))(a b)))(^y.y)) 4. ==[ alpha ]==> (((((^x.x)(^y.y))(a b))(((^z.z)(^x1.x1))(a b)))(^y1.y1)) 5. ==[ beta ]==> ((((^y.y)(a b))(((^z.z)(^x1.x1))(a b)))(^y1.y1)) 6. ==[ alpha ]==> ((((^x.x)(a b))(((^y.y)(^z.z))(a b)))(^x1.x1)) 7. ==[ beta ]==> (((a b)(((^y.y)(^z.z))(a b)))(^x1.x1)) 8. ==[ alpha ]==> (((a b)(((^x.x)(^y.y))(a b)))(^z.z)) 9. ==[ beta ]==> (((a b)((^y.y)(a b)))(^z.z)) 10. ==[ alpha ]==> (((a b)((^x.x)(a b)))(^y.y)) 11. ==[ beta ]==> (((a b)(a b))(^y.y)) 12. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 124548/12475440. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))(^z.(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> (b (^z.(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124549/12475449. ------ 1. ==[ start ]==> (((a b)(^b.a))(^b.(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124550/12475755. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^a.(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(y (^z.(^x1.x1))))) REDUCED to normal form. ------ 124551/12475779. ------ 1. ==[ start ]==> ((^a.(b a))((b a)(a a))) 2. ==[ alpha ]==> ((^x.(b x))((b a)(a a))) 3. ==[ eta ]==> (b ((b a)(a a))) REDUCED to normal form. ------ 124552/12476328. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((b a) a)) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 124553/12476616. ------ 1. ==[ start ]==> ((^a.(a (^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((^x.(x (^y.(^z.z))))(((a a)(^x1.x1))(a a))) 3. ==[ beta ]==> ((((a a)(^x1.x1))(a a))(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.z))) REDUCED to normal form. ------ 124554/12477087. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))(^x1.(^y1.(^z1.z1)))) 3. ==[ beta ]==> (b (^x1.(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (b (^x.(^y.(^z.z)))) REDUCED to normal form. ------ 124555/12477096. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^b.((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.((a a)(^x1.x1)))) REDUCED to normal form. ------ 124556/12477348. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^a.((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.((z z)(^x1.x1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.((z z)(^x1.x1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.((y y)(^z.z)))) 5. ==[ beta ]==> ((a b)(^y.((y y)(^z.z)))) 6. ==[ alpha ]==> ((a b)(^x.((x x)(^y.y)))) REDUCED to normal form. ------ 124557/12477534. ------ 1. ==[ start ]==> ((^a.((^a.a) b))((a (^a.a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 124558/12478014. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))(^b.(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(^z.(a a)))) REDUCED to normal form. ------ 124559/12478212. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(^c.(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(^y.(a b))) 3. ==[ beta ]==> (((a a) b)(^y.(a b))) 4. ==[ alpha ]==> (((a a) b)(^x.(a b))) REDUCED to normal form. ------ 124560/12478959. ------ 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))) REDUCED to normal form. ------ 124561/12479121. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))(^b.(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.(^y1.a))) REDUCED to normal form. ------ 124562/12479562. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^a.((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.((^z.z)(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^y.(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 124563/12479613. ------ 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 (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124564/12479787. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))(^c.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> (b (^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> (b (^x.(^y.(y y)))) REDUCED to normal form. ------ 124565/12480093. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))(^b.((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))(^x1.a)) REDUCED to normal form. ------ 124566/12480165. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(^c.c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(^z.z)) 3. ==[ beta ]==> (b (^z.z)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124567/12480174. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^b.(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.(^z.a))) REDUCED to normal form. ------ 124568/12480309. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^b.(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(a (^z.z)))) REDUCED to normal form. ------ 124569/12480399. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(^c.(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(^y.(a a))) REDUCED to normal form. ------ 124570/12480453. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^a.b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.b)) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.b)) 5. ==[ beta ]==> ((a b)(^y.b)) 6. ==[ alpha ]==> ((a b)(^x.b)) REDUCED to normal form. ------ 124571/12480480. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^a.(a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(z z))) REDUCED to normal form. ------ 124572/12480507. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.z)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.z)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.y)) 5. ==[ beta ]==> ((b a)(^y.y)) 6. ==[ alpha ]==> ((b a)(^x.x)) REDUCED to normal form. ------ 124573/12480519. ------ 1. ==[ start ]==> ((a a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a a)(((^x.x)(^y.y))(b a))) 3. ==[ beta ]==> ((a a)((^y.y)(b a))) 4. ==[ alpha ]==> ((a a)((^x.x)(b a))) 5. ==[ beta ]==> ((a a)(b a)) REDUCED to normal form. ------ 124574/12480546. ------ 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. ------ 124575/12480573. ------ 1. ==[ start ]==> ((a b)(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> ((a b)(((^x.x) a)((^y.y) b))) 3. ==[ beta ]==> ((a b)(a ((^y.y) b))) 4. ==[ alpha ]==> ((a b)(a ((^x.x) b))) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 124576/12480627. ------ 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. ------ 124577/12480663. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.a)))((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((b (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((b (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((b (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124578/12480690. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.a))(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(((a a)(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(a a))(^x1.(^y1.y1)))) 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. ------ 124579/12480717. ------ 1. ==[ start ]==> (((^a.a)(a (^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(^z.a))) 5. ==[ beta ]==> ((a (^x.x))(b (^z.a))) 6. ==[ alpha ]==> ((a (^x.x))(b (^y.a))) REDUCED to normal form. ------ 124580/12480726. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))((^x1.x1) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.z) a)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) a) REDUCED to normal form. ------ 124581/12480744. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((a (^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 3. ==[ beta ]==> ((^y.y)((a (^z.(^x1.x1)))(^y1.(y1 y1)))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))(^x1.(x1 x1)))) 5. ==[ beta ]==> ((a (^y.(^z.z)))(^x1.(x1 x1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(z z))) REDUCED to normal form. ------ 124582/12480753. ------ 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)))(a (a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.y))(^x1.(^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.y))(^z.(^x1.x1))) REDUCED to normal form. ------ 124583/12480771. ------ 1. ==[ start ]==> ((a (^b.a))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((a (^x.a))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 124584/12480807. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)((^c.(^a.a))((a a) a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))((a a) a))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((a a) a))) 5. ==[ beta ]==> ((^y.(^z.z))((a a) a)) 6. ==[ alpha ]==> ((^x.(^y.y))((a a) a)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124585/12480852. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((a b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((a b)(^z.(a a)))) 3. ==[ beta ]==> ((^y.a)((a b)(^z.(a a)))) 4. ==[ alpha ]==> ((^x.a)((a b)(^y.(a a)))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 124586/12480888. ------ 1. ==[ start ]==> (((a (^a.a)) b)((^c.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)((^y.a)((a a)(^z.z)))) 3. ==[ beta ]==> (((a (^x.x)) b) a) REDUCED to normal form. ------ 124587/12480915. ------ 1. ==[ start ]==> ((((^a.a) a) a)((^b.(^a.a))(b a))) 2. ==[ alpha ]==> ((((^x.x) a) a)((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((a a)((^y.(^z.z))(b a))) 4. ==[ alpha ]==> ((a a)((^x.(^y.y))(b a))) 5. ==[ beta ]==> ((a a)(^y.y)) 6. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 124588/12480933. ------ 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. ------ 124589/12480942. ------ 1. ==[ start ]==> (((a a)(^b.a))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((^y.(y y))(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a a)(^x.a))((a (^z.(^x1.x1)))(a (^z.(^x1.x1))))) 4. ==[ alpha ]==> (((a a)(^x.a))((a (^y.(^z.z)))(a (^x1.(^y1.y1))))) REDUCED to normal form. ------ 124590/12480960. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1) a)(^y1.y1))) 4. ==[ alpha ]==> ((^x.x)(((^y.y) a)(^z.z))) 5. ==[ beta ]==> (((^y.y) a)(^z.z)) 6. ==[ alpha ]==> (((^x.x) a)(^y.y)) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 124591/12480969. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))((^b.a)((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((^x1.a)((^y1.y1) b))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z))) a) REDUCED to normal form. ------ 124592/12480996. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.a))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 124593/12481104. ------ 1. ==[ start ]==> (((^a.(a a)) a)((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x)) a)((^y.y)(^z.a))) 3. ==[ beta ]==> ((a a)((^y.y)(^z.a))) 4. ==[ alpha ]==> ((a a)((^x.x)(^y.a))) 5. ==[ beta ]==> ((a a)(^y.a)) 6. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 124594/12481185. ------ 1. ==[ start ]==> ((((^a.a) a) b)((^c.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a) b)((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((a b)((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((a b)((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((a b)(^y.y)) 6. ==[ alpha ]==> ((a b)(^x.x)) REDUCED to normal form. ------ 124595/12481212. ------ 1. ==[ start ]==> (((a (a a)) a)((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((a (a a)) a)((^x.(a a))(^y.b))) 3. ==[ beta ]==> (((a (a a)) a)(a a)) REDUCED to normal form. ------ 124596/12481239. ------ 1. ==[ start ]==> (((a a)(^a.(a a)))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((a a)(^x.(x x)))((^y.b)(^z.(a a)))) 3. ==[ beta ]==> (((a a)(^x.(x x))) b) REDUCED to normal form. ------ 124597/12481266. ------ 1. ==[ start ]==> (((a (^a.a))(^b.a))((^c.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.a))((^z.a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.a)) a) REDUCED to normal form. ------ 124598/12481320. ------ 1. ==[ start ]==> (((a (a a))(^a.a))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(y y))(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (((a (a a))(^x.x))((^z.(^x1.(^y1.y1)))(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((^y.(^z.(^x1.x1)))(^y1.(^z1.(^x2.x2))))) 5. ==[ beta ]==> (((a (a a))(^x.x))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a (a a))(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 124599/12481383. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) a))(b ((a a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) a))(b ((a a)(a a)))) 3. ==[ beta ]==> (((a (^x.x)) a)(b ((a a)(a a)))) REDUCED to normal form. ------ 124600/12481410. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.a)))(a (b (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.y)))(a (b (^z.z)))) 3. ==[ beta ]==> ((a (a (^y.y)))(a (b (^z.z)))) 4. ==[ alpha ]==> ((a (a (^x.x)))(a (b (^y.y)))) REDUCED to normal form. ------ 124601/12481437. ------ 1. ==[ start ]==> (((a (a a))(a a))(((a a)(a a))(a a))) REDUCED to normal form. ------ 124602/12481464. ------ 1. ==[ start ]==> ((a ((^a.a)(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> ((a ((^x.x)(^y.y)))(((^z.z) b)(a (^x1.x1)))) 3. ==[ beta ]==> ((a (^y.y))(((^z.z) b)(a (^x1.x1)))) 4. ==[ alpha ]==> ((a (^x.x))(((^y.y) b)(a (^z.z)))) 5. ==[ beta ]==> ((a (^x.x))(b (a (^z.z)))) 6. ==[ alpha ]==> ((a (^x.x))(b (a (^y.y)))) REDUCED to normal form. ------ 124603/12481473. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))((^b.b) c)) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1) c)) 3. ==[ beta ]==> ((^y.(^z.z))((^x1.x1) c)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.z) c)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124604/12481761. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))((a a)((a a)(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((a a)((a a)(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))((a a)((a a)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a a)((a a)(a a)))) REDUCED to normal form. ------ 124605/12481932. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))(((^a.a)(a a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((^y1.y1)(a a))(^z1.a))) 3. ==[ beta ]==> ((^y.y)(((^y1.y1)(a a))(^z1.a))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.a)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.a)) 7. ==[ beta ]==> ((a a)(^y.a)) 8. ==[ alpha ]==> ((a a)(^x.a)) REDUCED to normal form. ------ 124606/12481986. ------ 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)(^y.a))(((a a) a)(^z.(a a)))) 4. ==[ alpha ]==> (((^x.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. ------ 124607/12482022. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)((^b.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)((^z.(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> (((^y.y) b)((^z.(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x) b)((^y.(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> (b ((^y.(^z.z))((a a)(^x1.x1)))) 6. ==[ alpha ]==> (b ((^x.(^y.y))((a a)(^z.z)))) 7. ==[ beta ]==> (b (^y.y)) 8. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124608/12482049. ------ 1. ==[ start ]==> ((((a a) a) a)((^a.(a a))(b a))) 2. ==[ alpha ]==> ((((a a) a) a)((^x.(x x))(b a))) 3. ==[ beta ]==> ((((a a) a) a)((b a)(b a))) REDUCED to normal form. ------ 124609/12482067. ------ 1. ==[ start ]==> (((^a.a)((a a) a))(((^a.a) a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)((a a) a))(((^y.y) a)(^z.(^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))))) 5. ==[ beta ]==> (((a a) a)(a (^y.(^z.(^x1.x1))))) 6. ==[ alpha ]==> (((a a) a)(a (^x.(^y.(^z.z))))) REDUCED to normal form. ------ 124610/12482094. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((a (^y1.y1))(^z1.z1))) 3. ==[ beta ]==> ((^y.y)((a (^y1.y1))(^z1.z1))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(^z.z))) 5. ==[ beta ]==> ((a (^y.y))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 124611/12482103. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^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. ------ 124612/12482130. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.(a a)))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(y y)))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((a (^y.(y y)))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((a (^x.(x x)))((^y.y)((a a)(a a)))) 5. ==[ beta ]==> ((a (^x.(x x)))((a a)(a a))) REDUCED to normal form. ------ 124613/12482148. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(((a a)(a a)) a)) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(((a a)(a a)) a)) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a)) a)) 5. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a)) a)) 6. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a)) a)) 7. ==[ beta ]==> ((a a)(((a a)(a a)) a)) REDUCED to normal form. ------ 124614/12482157. ------ 1. ==[ start ]==> (((a (a a))(^b.a))((^c.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (a a))(^x.a))((^y.(a a))(^z.z))) 3. ==[ beta ]==> (((a (a a))(^x.a))(a a)) REDUCED to normal form. ------ 124615/12482184. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))((^b.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.y1)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.x1)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124616/12482211. ------ 1. ==[ start ]==> ((((a a) a)(^a.a))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.(^x1.x1)))(^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. ------ 124617/12482778. ------ 1. ==[ start ]==> (((a b)(^a.a))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.x))(c (^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124618/12482814. ------ 1. ==[ start ]==> (((a a)(a b))((a a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(a b))((a a)((^x.x) b))) 3. ==[ beta ]==> (((a a)(a b))((a a) b)) REDUCED to normal form. ------ 124619/12482967. ------ 1. ==[ start ]==> (((^a.b) b)((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)((^y.(a a))((^z.z)(^x1.x1)))) 3. ==[ beta ]==> (b ((^y.(a a))((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> (b ((^x.(a a))((^y.y)(^z.z)))) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 124620/12483012. ------ 1. ==[ start ]==> (((^a.a)(^b.(a a)))(((a a) a)(^a.b))) 2. ==[ alpha ]==> (((^x.x)(^y.(a a)))(((a a) a)(^z.b))) 3. ==[ beta ]==> ((^y.(a a))(((a a) a)(^z.b))) 4. ==[ alpha ]==> ((^x.(a a))(((a a) a)(^y.b))) 5. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124621/12483039. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.b))(((^a.a)(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.b))(((^x1.x1)(^y1.y1))(^z1.(a a)))) 3. ==[ beta ]==> ((^y.y)(((^x1.x1)(^y1.y1))(^z1.(a a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(^z.z))(^x1.(a a)))) 5. ==[ beta ]==> (((^y.y)(^z.z))(^x1.(a a))) 6. ==[ alpha ]==> (((^x.x)(^y.y))(^z.(a a))) 7. ==[ beta ]==> ((^y.y)(^z.(a a))) 8. ==[ alpha ]==> ((^x.x)(^y.(a a))) 9. ==[ beta ]==> (^y.(a a)) 10. ==[ alpha ]==> (^x.(a a)) REDUCED to normal form. ------ 124622/12483174. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(((^a.a) b) a)) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) b) a)) 3. ==[ beta ]==> (b (((^x1.x1) b) a)) 4. ==[ alpha ]==> (b (((^x.x) b) a)) 5. ==[ beta ]==> (b (b a)) REDUCED to normal form. ------ 124623/12483183. ------ 1. ==[ start ]==> (((a b) b)((^b.b)(^a.a))) 2. ==[ alpha ]==> (((a b) b)((^x.x)(^y.y))) 3. ==[ beta ]==> (((a b) b)(^y.y)) 4. ==[ alpha ]==> (((a b) b)(^x.x)) REDUCED to normal form. ------ 124624/12483210. ------ 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. ------ 124625/12483228. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(a a)))((b a) c)) 2. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((b a) c)) 3. ==[ beta ]==> (((^y.y)(a a))((b a) c)) 4. ==[ alpha ]==> (((^x.x)(a a))((b a) c)) 5. ==[ beta ]==> ((a a)((b a) c)) REDUCED to normal form. ------ 124626/12483264. ------ 1. ==[ start ]==> (((a (^a.a))(^a.b))((^c.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.b))((^z.(^x1.x1))(^y1.(y1 y1)))) 3. ==[ beta ]==> (((a (^x.x))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.b))(^z.z)) REDUCED to normal form. ------ 124627/12483318. ------ 1. ==[ start ]==> (((a (a a))(^b.(^a.a)))((^a.b)(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((^z.b)(^x1.a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.y))) b) REDUCED to normal form. ------ 124628/12483372. ------ 1. ==[ start ]==> ((((a a) a)(^b.a))((^b.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.a))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.a))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.a))(^y.y)) REDUCED to normal form. ------ 124629/12483399. ------ 1. ==[ start ]==> (((a b)(^a.(^a.a)))((^a.(a a))(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(z z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.(^x1.x1))(^y1.(^z1.z1)))) 5. ==[ beta ]==> (((a b)(^x.(^y.y)))(^x1.x1)) 6. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 124630/12483462. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))(b (a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))(b (a (^y.(^z.z))))) 3. ==[ beta ]==> (((a a)(a a))(b (a (^y.(^z.z))))) 4. ==[ alpha ]==> (((a a)(a a))(b (a (^x.(^y.y))))) REDUCED to normal form. ------ 124631/12483489. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(a ((^a.a) b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(a ((^y.y) b))) 3. ==[ beta ]==> (((a (^x.x))(a b))(a b)) REDUCED to normal form. ------ 124632/12483516. ------ 1. ==[ start ]==> ((((^a.a) a)((a a) a))((a (^a.(^a.a)))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((a a) a))((a (^y.(^z.z)))(a a))) 3. ==[ beta ]==> ((a ((a a) a))((a (^y.(^z.z)))(a a))) 4. ==[ alpha ]==> ((a ((a a) a))((a (^x.(^y.y)))(a a))) REDUCED to normal form. ------ 124633/12483543. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(^a.a)))((b a)(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(^y.y)))((b a)(a (^z.z)))) 3. ==[ beta ]==> (((a (a a))(^y.y))((b a)(a (^z.z)))) 4. ==[ alpha ]==> (((a (a a))(^x.x))((b a)(a (^y.y)))) REDUCED to normal form. ------ 124634/12483570. ------ 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.x1) a))) 3. ==[ beta ]==> (((^y.y)(a (a a)))(((a a)(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((^x.x)(a (a a)))(((a a)(^y.y))((^z.z) a))) 5. ==[ beta ]==> ((a (a a))(((a a)(^y.y))((^z.z) a))) 6. ==[ alpha ]==> ((a (a a))(((a a)(^x.x))((^y.y) a))) 7. ==[ beta ]==> ((a (a a))(((a a)(^x.x)) a)) REDUCED to normal form. ------ 124635/12483597. ------ 1. ==[ start ]==> ((((a a) a)((^a.a) a))(((^a.a)(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)((^x.x) a))(((^y.y)(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a) a) a)(((^y.y)(a a))(a (a a)))) 4. ==[ alpha ]==> ((((a a) a) a)(((^x.x)(a a))(a (a a)))) 5. ==[ beta ]==> ((((a a) a) a)((a a)(a (a a)))) REDUCED to normal form. ------ 124636/12483624. ------ 1. ==[ start ]==> (((a b)(a (^a.a)))((a b)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a (^x.x)))((a b)(^z.z))) 4. ==[ alpha ]==> (((a b)(a (^x.x)))((a b)(^y.y))) REDUCED to normal form. ------ 124637/12483651. ------ 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. ------ 124638/12483678. ------ 1. ==[ start ]==> ((a ((a a)(^a.a)))(((^a.a)(^a.a))(a b))) 2. ==[ alpha ]==> ((a ((a a)(^x.x)))(((^y.y)(^z.z))(a b))) 3. ==[ beta ]==> ((a ((a a)(^x.x)))((^z.z)(a b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.y)(a b))) 5. ==[ beta ]==> ((a ((a a)(^x.x)))(a b)) REDUCED to normal form. ------ 124639/12483849. ------ 1. ==[ start ]==> (((^a.b)(^b.a))((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((b a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((b a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 124640/12483858. ------ 1. ==[ start ]==> (((a b) c)((^d.a)(a (^a.a)))) 2. ==[ alpha ]==> (((a b) c)((^x.a)(a (^y.y)))) 3. ==[ beta ]==> (((a b) c) a) REDUCED to normal form. ------ 124641/12483885. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)((^c.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)((^y.(^z.z))((^x1.x1) a))) 3. ==[ beta ]==> (((a a) b)((^y.(^z.z))((^x1.x1) a))) 4. ==[ alpha ]==> (((a a) b)((^x.(^y.y))((^z.z) a))) 5. ==[ beta ]==> (((a a) b)(^y.y)) 6. ==[ alpha ]==> (((a a) b)(^x.x)) REDUCED to normal form. ------ 124642/12483912. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)((^b.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.(a a))(a (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(a a)) REDUCED to normal form. ------ 124643/12483930. ------ 1. ==[ start ]==> (((^a.a)((a a)(^a.a)))((a b)(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((a b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a a)(^y.y))((a b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a a)(^x.x))((a b)(^y.(^z.z)))) REDUCED to normal form. ------ 124644/12483966. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))((^c.a)((a a) a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))((^z.a)((a a) a))) 3. ==[ beta ]==> (((a (^x.x))(^y.(a a))) a) REDUCED to normal form. ------ 124645/12483993. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))((^b.(^a.a))(a b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))((^z.(^x1.x1))(a b))) 3. ==[ beta ]==> ((a (^y.b))((^z.(^x1.x1))(a b))) 4. ==[ alpha ]==> ((a (^x.b))((^y.(^z.z))(a b))) 5. ==[ beta ]==> ((a (^x.b))(^z.z)) 6. ==[ alpha ]==> ((a (^x.b))(^y.y)) REDUCED to normal form. ------ 124646/12484011. ------ 1. ==[ start ]==> (((^a.(a a))((a a) a))((a (a a))(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((a a) a))((a (a a))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a (a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)((a a) a))((a (a a))(^x.(a a)))) REDUCED to normal form. ------ 124647/12484047. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(^a.a)))((^b.a)((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))((^y1.a)((a a)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))((^x1.a)((a a)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.a)((a a)(^y1.y1)))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.a)((a a)(^x1.x1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124648/12484074. ------ 1. ==[ start ]==> ((((a a) a)(^a.(a a)))((^a.(^a.a))(b a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(x x)))((^y.(^z.z))(b a))) 3. ==[ beta ]==> ((((a a) a)(^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((((a a) a)(^x.(x x)))(^y.y)) REDUCED to normal form. ------ 124649/12484092. ------ 1. ==[ start ]==> (((^a.b)((^a.a) a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.b)((^y.y) a))((a a)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (b ((a a)(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.(^z.z))))) REDUCED to normal form. ------ 124650/12484101. ------ 1. ==[ start ]==> (((a b)(^b.a))((^a.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.y)(a (^z.(^x1.x1))))) 3. ==[ beta ]==> (((a b)(^x.a))(a (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b)(^x.a))(a (^y.(^z.z)))) REDUCED to normal form. ------ 124651/12484128. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((^a.(^a.(^a.a)))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.(^y1.(^z1.z1)))(^x2.x2))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.z1))) 5. ==[ beta ]==> (((a a)(^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> (((a a)(^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 124652/12484353. ------ 1. ==[ start ]==> (((a b)((^a.a) a))(c ((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))(c ((a a)(^y.y)))) 3. ==[ beta ]==> (((a b) a)(c ((a a)(^y.y)))) 4. ==[ alpha ]==> (((a b) a)(c ((a a)(^x.x)))) REDUCED to normal form. ------ 124653/12484380. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (^a.a)))(b (b a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (^y.y)))(b (b a))) 3. ==[ beta ]==> (((a a)(a (^y.y)))(b (b a))) 4. ==[ alpha ]==> (((a a)(a (^x.x)))(b (b a))) REDUCED to normal form. ------ 124654/12484407. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(a (a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(a (a (^y.(^z.z))))) REDUCED to normal form. ------ 124655/12484434. ------ 1. ==[ start ]==> ((a (b a))((b a)(a a))) REDUCED to normal form. ------ 124656/12484713. ------ 1. ==[ start ]==> (((^a.a)(b a))((b a)(^a.a))) 2. ==[ alpha ]==> (((^x.x)(b a))((b a)(^y.y))) 3. ==[ beta ]==> ((b a)((b a)(^y.y))) 4. ==[ alpha ]==> ((b a)((b a)(^x.x))) REDUCED to normal form. ------ 124657/12484740. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(^a.a)))(((a a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(^z.z)))(((a a)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((^y.y)(((a a)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.(^x1.x1))) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.(^z.z))) REDUCED to normal form. ------ 124658/12484776. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))((^b.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))((^z.(a a))((^x1.x1) a))) 3. ==[ beta ]==> ((a (^y.(a a)))((^z.(a a))((^x1.x1) a))) 4. ==[ alpha ]==> ((a (^x.(a a)))((^y.(a a))((^z.z) a))) 5. ==[ beta ]==> ((a (^x.(a a)))(a a)) REDUCED to normal form. ------ 124659/12484794. ------ 1. ==[ start ]==> (((^a.(a a))(a b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(a b))((a b)(^y.(y y)))) 3. ==[ beta ]==> (((a b)(a b))((a b)(^y.(y y)))) 4. ==[ alpha ]==> (((a b)(a b))((a b)(^x.(x x)))) REDUCED to normal form. ------ 124660/12484803. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((^a.b)(a (a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((^y.b)(a (a a)))) 3. ==[ beta ]==> (((a (a a))(^x.b)) b) REDUCED to normal form. ------ 124661/12484857. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))((^b.(^a.a))((a a) a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((^z.(^x1.x1))((a a) a))) 3. ==[ beta ]==> ((((a a) a)(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 124662/12484875. ------ 1. ==[ start ]==> (((^a.b)(a (a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((^x.b)(a (a a)))((a (a a))(^y.b))) 3. ==[ beta ]==> (b ((a (a a))(^y.b))) 4. ==[ alpha ]==> (b ((a (a a))(^x.b))) REDUCED to normal form. ------ 124663/12484884. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((^a.(a a))(a b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((^y.(y y))(a b))) 3. ==[ beta ]==> (((a b)(^x.(x x)))((a b)(a b))) REDUCED to normal form. ------ 124664/12484911. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))((^b.a)((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))((^z.a)((^x1.x1)(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))((^z.a)((^x1.x1)(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))((^y.a)((^z.z)(a a)))) 5. ==[ beta ]==> (((a a)(^x.a)) a) REDUCED to normal form. ------ 124665/12484938. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.(^a.a)))((^a.(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.(^y1.y1))((a a)(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.x1)) REDUCED to normal form. ------ 124666/12484983. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))((b a) a)) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))((b a) a)) REDUCED to normal form. ------ 124667/12485217. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (^a.a)))(b ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (^y.y)))(b ((a a)(^z.z)))) REDUCED to normal form. ------ 124668/12485271. ------ 1. ==[ start ]==> ((a (a (^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> ((a (a (^x.(^y.y))))(((a a)(^z.z))(a a))) REDUCED to normal form. ------ 124669/12485550. ------ 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)(a a))(^z1.(^x2.x2)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(a a))(^z1.(^x2.x2)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(a a))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124670/12485559. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) a)((^b.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(a a))(a (^x1.x1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(a a)) REDUCED to normal form. ------ 124671/12485577. ------ 1. ==[ start ]==> (((^a.a)(a (^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(a (^y.(^z.z))))((a b)(^x1.a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)(^z.a))) REDUCED to normal form. ------ 124672/12485586. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((^a.b)((^a.a) a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((^x1.b)((^y1.y1) a))) 3. ==[ beta ]==> (((a a)(^x.(^y.(^z.z)))) b) REDUCED to normal form. ------ 124673/12485604. ------ 1. ==[ start ]==> (((^a.(^a.a))(b a))(((a a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(b a))(((a a) a)(^z.(z z)))) 3. ==[ beta ]==> ((^y.y)(((a a) a)(^z.(z z)))) 4. ==[ alpha ]==> ((^x.x)(((a a) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a) a)(^y.(y y))) 6. ==[ alpha ]==> (((a a) a)(^x.(x x))) REDUCED to normal form. ------ 124674/12485667. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((^a.(a a))((a a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((^y.(y y))((a a) a))) 3. ==[ beta ]==> (((a (a a))(^x.(a a)))(((a a) a)((a a) a))) REDUCED to normal form. ------ 124675/12485694. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))((^b.a)(a b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))((^x1.a)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.b))((^x1.a)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))((^z.a)(a b))) 5. ==[ beta ]==> ((^y.b)((^z.a)(a b))) 6. ==[ alpha ]==> ((^x.b)((^y.a)(a b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124676/12485739. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(^z.z)))((a a)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (b ((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 124677/12485748. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((^a.a)((a a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((^z.z)((a a)(^x1.x1)))) 3. ==[ beta ]==> (((a b)(^x.(^y.y)))((a a)(^x1.x1))) 4. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.z))) REDUCED to normal form. ------ 124678/12485802. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))((^b.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))((^z.(a a))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))(a a)) REDUCED to normal form. ------ 124679/12485973. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))(b ((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))(b ((^y.y)(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))(b ((^y.y)(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))(b ((^x.x)(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(b (a a))) REDUCED to normal form. ------ 124680/12486000. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(a ((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(a ((a a)(^z.z)))) 3. ==[ beta ]==> (((^y.y)(a b))(a ((a a)(^z.z)))) 4. ==[ alpha ]==> (((^x.x)(a b))(a ((a a)(^y.y)))) 5. ==[ beta ]==> ((a b)(a ((a a)(^y.y)))) 6. ==[ alpha ]==> ((a b)(a ((a a)(^x.x)))) REDUCED to normal form. ------ 124681/12486027. ------ 1. ==[ start ]==> ((((a a) a)((a a) a))(((^a.a)(a a))(a a))) 2. ==[ alpha ]==> ((((a a) a)((a a) a))(((^x.x)(a a))(a a))) 3. ==[ beta ]==> ((((a a) a)((a a) a))((a a)(a a))) REDUCED to normal form. ------ 124682/12486054. ------ 1. ==[ start ]==> (((a b)((^a.a)(^a.a)))((a b)(a (^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x)(^y.y)))((a b)(a (^z.z)))) 3. ==[ beta ]==> (((a b)(^y.y))((a b)(a (^z.z)))) 4. ==[ alpha ]==> (((a b)(^x.x))((a b)(a (^y.y)))) REDUCED to normal form. ------ 124683/12486081. ------ 1. ==[ start ]==> ((((^a.a)(a a))(a (a a)))(((a a) a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(a (a a)))(((a a) a)((^y.y) a))) 3. ==[ beta ]==> (((a a)(a (a a)))(((a a) a)((^y.y) a))) 4. ==[ alpha ]==> (((a a)(a (a a)))(((a a) a)((^x.x) a))) 5. ==[ beta ]==> (((a a)(a (a a)))(((a a) a) a)) REDUCED to normal form. ------ 124684/12486108. ------ 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 (a a)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)(((^z.z)(^x1.x1))(a (a a)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(^z.z))(a (a a)))) 5. ==[ beta ]==> ((((a a)(^x.x)) a)((^z.z)(a (a a)))) 6. ==[ alpha ]==> ((((a a)(^x.x)) a)((^y.y)(a (a a)))) 7. ==[ beta ]==> ((((a a)(^x.x)) a)(a (a a))) REDUCED to normal form. ------ 124685/12486162. ------ 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. ------ 124686/12486189. ------ 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 b)((a (^y.y))(a b))) 4. ==[ alpha ]==> ((a b)((a (^x.x))(a b))) REDUCED to normal form. ------ 124687/12486360. ------ 1. ==[ start ]==> (((^a.b)(^c.a))((a (a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b)(^y.a))((a (a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b ((a (a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b ((a (a a))(^x.(^y.y)))) REDUCED to normal form. ------ 124688/12486468. ------ 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. ------ 124689/12486477. ------ 1. ==[ start ]==> (((a (^a.(^a.a))) b)((^b.(a a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y))) b)((^z.(a a))(^x1.x1))) 3. ==[ beta ]==> (((a (^x.(^y.y))) b)(a a)) REDUCED to normal form. ------ 124690/12486504. ------ 1. ==[ start ]==> ((((^a.a) b) a)((^a.b)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) a)((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b a)((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b a)((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 124691/12486522. ------ 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. ------ 124692/12486531. ------ 1. ==[ start ]==> (((a a)(^b.b))((^c.a)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.x))((^y.a)(^z.a))) 3. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 124693/12486558. ------ 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.(x2 x2)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^z1.z1)) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.(^x1.x1))))(^y1.y1)) REDUCED to normal form. ------ 124694/12486639. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.(a a)))((^a.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(a a)))((^x1.(^y1.y1))(^z1.b))) 3. ==[ beta ]==> (((^y.y)(^z.(a a)))((^x1.(^y1.y1))(^z1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.(a a)))((^z.(^x1.x1))(^y1.b))) 5. ==[ beta ]==> ((^y.(a a))((^z.(^x1.x1))(^y1.b))) 6. ==[ alpha ]==> ((^x.(a a))((^y.(^z.z))(^x1.b))) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124695/12486666. ------ 1. ==[ start ]==> ((((a a) a)(^a.b))((^a.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.b))((^y.y)(^z.(a a)))) 3. ==[ beta ]==> ((((a a) a)(^x.b))(^z.(a a))) 4. ==[ alpha ]==> ((((a a) a)(^x.b))(^y.(a a))) REDUCED to normal form. ------ 124696/12486684. ------ 1. ==[ start ]==> (((^a.b)((a a) a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((^x.b)((a a) a))((^y.(a a)) a)) 3. ==[ beta ]==> (b ((^y.(a a)) a)) 4. ==[ alpha ]==> (b ((^x.(a a)) a)) 5. ==[ beta ]==> (b (a a)) REDUCED to normal form. ------ 124697/12486828. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.a))(c (^c.a))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.y))(c (^z.a))) 3. ==[ beta ]==> ((b (^y.y))(c (^z.a))) 4. ==[ alpha ]==> ((b (^x.x))(c (^y.a))) REDUCED to normal form. ------ 124698/12486864. ------ 1. ==[ start ]==> (((a a)((^a.a) b))((a a)(a b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))((a a)(a b))) 3. ==[ beta ]==> (((a a) b)((a a)(a b))) REDUCED to normal form. ------ 124699/12487467. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(((a a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^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. ------ 124700/12487503. ------ 1. ==[ start ]==> ((((^a.a) b) b)((^b.(^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. ------ 124701/12487530. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((^a.(a a))((^a.a) a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((^x.(x x))((^y.y) a))) 3. ==[ beta ]==> ((((a a)(a a)) a)(((^y.y) a)((^y.y) a))) 4. ==[ alpha ]==> ((((a a)(a a)) a)(((^x.x) a)((^y.y) a))) 5. ==[ beta ]==> ((((a a)(a a)) a)(a ((^y.y) a))) 6. ==[ alpha ]==> ((((a a)(a a)) a)(a ((^x.x) a))) 7. ==[ beta ]==> ((((a a)(a a)) a)(a a)) REDUCED to normal form. ------ 124702/12487548. ------ 1. ==[ start ]==> (((^a.a)((a a)(a a)))(((^a.a) a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.x)((a a)(a a)))(((^y.y) a)(^z.(z z)))) 3. ==[ beta ]==> (((a a)(a a))(((^y.y) a)(^z.(z z)))) 4. ==[ alpha ]==> (((a a)(a a))(((^x.x) a)(^y.(y y)))) 5. ==[ beta ]==> (((a a)(a a))(a (^y.(y y)))) 6. ==[ alpha ]==> (((a a)(a a))(a (^x.(x x)))) REDUCED to normal form. ------ 124703/12487575. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) b))((a (^a.a))(^b.(^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. ------ 124704/12487584. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((^a.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((^z.(^x1.x1))((^y1.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. ------ 124705/12487611. ------ 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 a) a))) 3. ==[ beta ]==> ((a (^y.(^z.(^x1.x1))))((^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. ------ 124706/12487629. ------ 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 a)(b a))(((a a) a) a)) REDUCED to normal form. ------ 124707/12487692. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((^a.(a a))(^b.a))) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.(y y))(^z.a))) 3. ==[ beta ]==> ((((a a) a)(^x.(a a)))((^z.a)(^z.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((^y.a)(^z.a))) 5. ==[ beta ]==> ((((a a) a)(^x.(a a))) a) REDUCED to normal form. ------ 124708/12487719. ------ 1. ==[ start ]==> (((a b)(^a.b))((^b.a)(^a.(a a)))) 2. ==[ alpha ]==> (((a b)(^x.b))((^y.a)(^z.(z z)))) 3. ==[ beta ]==> (((a b)(^x.b)) a) REDUCED to normal form. ------ 124709/12487773. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.(^a.a)))((^a.a)(^c.a))) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))((^x1.x1)(^y1.a))) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.(^z.z)))(^y1.a)) 4. ==[ alpha ]==> ((((a a)(^x.x))(^y.(^z.z)))(^x1.a)) REDUCED to normal form. ------ 124710/12487818. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))((^y1.(^z1.z1)) b)) 3. ==[ beta ]==> ((^y.(^z.z))((^y1.(^z1.z1)) b)) 4. ==[ alpha ]==> ((^x.(^y.y))((^z.(^x1.x1)) b)) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124711/12487917. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))((a a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)((^x.x)(^y.y)))) 3. ==[ beta ]==> (((a a)((a a)(a a)))((a a)(^y.y))) 4. ==[ alpha ]==> (((a a)((a a)(a a)))((a a)(^x.x))) REDUCED to normal form. ------ 124712/12488187. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))(b (a (a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))(b (a (a a)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)(b (a (a a)))) REDUCED to normal form. ------ 124713/12488214. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(a ((^a.a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(a ((^z.z)(^x1.x1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(a ((^z.z)(^x1.x1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(a ((^y.y)(^z.z)))) 5. ==[ beta ]==> ((b (a (^x.x)))(a (^z.z))) 6. ==[ alpha ]==> ((b (a (^x.x)))(a (^y.y))) REDUCED to normal form. ------ 124714/12488241. ------ 1. ==[ start ]==> ((((a a)(a a))(a a))((a (a a))(a a))) REDUCED to normal form. ------ 124715/12488268. ------ 1. ==[ start ]==> ((a (b (^a.a)))(((^a.a) a)(a (^a.a)))) 2. ==[ alpha ]==> ((a (b (^x.x)))(((^y.y) a)(a (^z.z)))) 3. ==[ beta ]==> ((a (b (^x.x)))(a (a (^z.z)))) 4. ==[ alpha ]==> ((a (b (^x.x)))(a (a (^y.y)))) REDUCED to normal form. ------ 124716/12488358. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))((a (a a))(^a.a))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))((a (a a))(^y1.y1))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))((a (a a))(^x2.x2))) 5. ==[ beta ]==> ((^y.(^z.z))((a (a a))(^x2.x2))) 6. ==[ alpha ]==> ((^x.(^y.y))((a (a a))(^z.z))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124717/12488439. ------ 1. ==[ start ]==> (((^a.b)(^b.(a a)))((a a)(^a.(a a)))) 2. ==[ alpha ]==> (((^x.b)(^y.(a a)))((a a)(^z.(z z)))) 3. ==[ beta ]==> (b ((a a)(^z.(z z)))) 4. ==[ alpha ]==> (b ((a a)(^x.(x x)))) REDUCED to normal form. ------ 124718/12488583. ------ 1. ==[ start ]==> ((((^a.a) b) c)(d (^a.a))) 2. ==[ alpha ]==> ((((^x.x) b) c)(d (^y.y))) 3. ==[ beta ]==> ((b c)(d (^y.y))) 4. ==[ alpha ]==> ((b c)(d (^x.x))) REDUCED to normal form. ------ 124719/12488610. ------ 1. ==[ start ]==> ((((a a)(a a)) b)(c (^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(a a)) b)(c (^x.(^y.y)))) REDUCED to normal form. ------ 124720/12488682. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(((^a.a) a)(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(((^z.z) a)(^x1.x1))) 3. ==[ beta ]==> ((^y.y)(((^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. ------ 124721/12488718. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((^a.(^a.a))(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((^z.(^x1.x1))(a (^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((^y.(^z.z))(a (^x1.x1)))) 5. ==[ beta ]==> ((a (^x.x))(^z.z)) 6. ==[ alpha ]==> ((a (^x.x))(^y.y)) REDUCED to normal form. ------ 124722/12488736. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))((a a)(^x1.a))) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))((a a)(^x1.a))) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))((a a)(^y1.a))) REDUCED to normal form. ------ 124723/12488745. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((^a.a)((^a.a) a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1)((^y1.y1) a))) 3. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z))))((^y1.y1) a)) 4. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((^x1.x1) a)) 5. ==[ beta ]==> (((a (a a))(^x.(^y.(^z.z)))) a) REDUCED to normal form. ------ 124724/12488817. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))((a a) c)) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))((a a) c)) 3. ==[ beta ]==> (b ((a a) c)) REDUCED to normal form. ------ 124725/12488826. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((^a.a)(^b.a))) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((a b)(^x.(a a)))(^z.a)) 4. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.a)) REDUCED to normal form. ------ 124726/12488853. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(c (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(c (^z.z))) 3. ==[ beta ]==> (((a a)(^y.b))(c (^z.z))) 4. ==[ alpha ]==> (((a a)(^x.b))(c (^y.y))) REDUCED to normal form. ------ 124727/12488925. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))((a (^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((^y.(^z.z))((a (^x1.x1))(^y1.y1))) 4. ==[ alpha ]==> ((^x.(^y.y))((a (^z.z))(^x1.x1))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124728/12488934. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((^a.(^a.a))(a a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.(z z)))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))(^x1.x1)) REDUCED to normal form. ------ 124729/12488961. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((^a.a)(a (^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((^z.z)(a (^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((^z.z)(a (^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((^y.y)(a (^z.z)))) 5. ==[ beta ]==> ((b (^x.a))(a (^z.z))) 6. ==[ alpha ]==> ((b (^x.a))(a (^y.y))) REDUCED to normal form. ------ 124730/12488988. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((^a.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((^z.(^x1.x1))(^y1.y1))) 3. ==[ beta ]==> ((((a a)(a a))(^x.(^y.y)))(^x1.x1)) 4. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))(^z.z)) REDUCED to normal form. ------ 124731/12489051. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))((a a)(a a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))((a a)(a a))) REDUCED to normal form. ------ 124732/12489078. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(b a)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(b a)) REDUCED to normal form. ------ 124733/12489105. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(a b)) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(a b)) 3. ==[ beta ]==> ((a ((^y.y) b))(a b)) 4. ==[ alpha ]==> ((a ((^x.x) b))(a b)) 5. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 124734/12489132. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(a (a a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(a (a a))) REDUCED to normal form. ------ 124735/12489159. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a a)) 3. ==[ beta ]==> (((^y.y)(b a))(a a)) 4. ==[ alpha ]==> (((^x.x)(b a))(a a)) 5. ==[ beta ]==> ((b a)(a a)) REDUCED to normal form. ------ 124736/12497814. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a)) b) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a)) b) 3. ==[ beta ]==> (((^y.y)(b a)) b) 4. ==[ alpha ]==> (((^x.x)(b a)) b) 5. ==[ beta ]==> ((b a) b) REDUCED to normal form. ------ 124737/12497838. ------ 1. ==[ start ]==> ((^a.(^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((^x.(^y.y))(((^z.z)(^x1.x1))(b a))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124738/12497919. ------ 1. ==[ start ]==> ((^a.(^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((a (^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124739/12498153. ------ 1. ==[ start ]==> ((^a.((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))((^z.(a a))(a b))) 3. ==[ eta ]==> ((^y.y)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.x)((^y.(a a))(a b))) 5. ==[ beta ]==> ((^y.(a a))(a b)) 6. ==[ alpha ]==> ((^x.(a a))(a b)) 7. ==[ beta ]==> (a a) REDUCED to normal form. ------ 124740/12498345. ------ 1. ==[ start ]==> (((a a)((^a.a) a))(^b.(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))(^y.(y (^z.z)))) 3. ==[ beta ]==> (((a a) a)(^y.(y (^z.z)))) 4. ==[ alpha ]==> (((a a) a)(^x.(x (^y.y)))) REDUCED to normal form. ------ 124741/12498423. ------ 1. ==[ start ]==> ((^a.(a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((^x.(x (x x)))((^y.y)(^z.a))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^y.y)(^z.a))((^y.y)(^z.a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.a))((^y1.y1)(^z1.a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.a))((^y1.y1)(^z1.a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.a))((^x1.x1)(^y1.a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 124742/12499812. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^a.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z)(z z)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.((z z)(z z)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.((z z)(z z)))) IRREDUCIBLE: cycle. ------ 124743/12500106. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))((a (^z.z))(a (^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.(((a (^z.z))(a (^x1.(^y1.y1))))((a (^z.z))(a (^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.(((a (^y.y))(a (^z.(^x1.x1))))((a (^y1.y1))(a (^z1.(^x2.x2)))))) REDUCED to normal form. ------ 124744/12500313. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((^z.b)((a a) a))) 3. ==[ beta ]==> ((^y.y)(((^z.b)((a a) a))((^z.b)((a a) a)))) 4. ==[ alpha ]==> ((^x.x)(((^y.b)((a a) a))((^z.b)((a a) a)))) 5. ==[ beta ]==> (((^y.b)((a a) a))((^z.b)((a a) a))) 6. ==[ alpha ]==> (((^x.b)((a a) a))((^y.b)((a a) a))) 7. ==[ beta ]==> (b ((^y.b)((a a) a))) 8. ==[ alpha ]==> (b ((^x.b)((a a) a))) 9. ==[ beta ]==> (b b) REDUCED to normal form. ------ 124745/12500802. ------ 1. ==[ start ]==> (((a (^a.a))(a b))(^b.(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))(^y.(^z.z))) REDUCED to normal form. ------ 124746/12501414. ------ 1. ==[ start ]==> (((a b)(^b.a))(^c.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 124747/12501720. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))(^b.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.(^y1.y1))))) REDUCED to normal form. ------ 124748/12503061. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))(^c.(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))(^z.(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124749/12503313. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))(^b.(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))(^y.(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)(^y.(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 124750/12503499. ------ 1. ==[ start ]==> ((^a.((^a.a) b))(c (^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) b))(c (^z.b))) 3. ==[ beta ]==> ((^y.y) b) 4. ==[ alpha ]==> ((^x.x) b) 5. ==[ beta ]==> b REDUCED to normal form. ------ 124751/12503997. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (b (^y.((^z.z)(y y)))) 4. ==[ alpha ]==> (b (^x.((^y.y)(x x)))) 5. ==[ beta ]==> (b (^x.(x x))) REDUCED to normal form. ------ 124752/12504204. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(^a.(^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(^x1.(^y1.(x1 x1)))) REDUCED to normal form. ------ 124753/12504393. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))(^b.(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))(^y.(a y))) 3. ==[ eta ]==> ((((a a)(^x.x))(a (a a))) a) REDUCED to normal form. ------ 124754/12504498. ------ 1. ==[ start ]==> ((^a.((a a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x)(x x)))((^y.(y y))(^z.(z z)))) 3. ==[ beta ]==> ((((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z))))(((^y.(y y))(^z.(z z)))((^y.(y y))(^z.(z z))))) 4. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(((^y1.(y1 y1))(^z1.(z1 z1)))((^x2.(x2 x2))(^y2.(y2 y2))))) 5. ==[ beta ]==> ((((^y.(y y))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(((^y1.(y1 y1))(^z1.(z1 z1)))((^x2.(x2 x2))(^y2.(y2 y2))))) 6. ==[ alpha ]==> ((((^x.(x x))(^y.(y y)))((^z.(z z))(^x1.(x1 x1))))(((^y1.(y1 y1))(^z1.(z1 z1)))((^x2.(x2 x2))(^y2.(y2 y2))))) IRREDUCIBLE: cycle. ------ 124755/12505257. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(^a.(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(^z.(^x1.z))) 3. ==[ beta ]==> (((a (^x.x)) b)(^z.(^x1.z))) 4. ==[ alpha ]==> (((a (^x.x)) b)(^y.(^z.y))) REDUCED to normal form. ------ 124756/12505392. ------ 1. ==[ start ]==> (((a b)(a b))(^b.((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))(^x.(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))(^x.(^y.y))) REDUCED to normal form. ------ 124757/12505527. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))(^b.(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124758/12505968. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))(^c.((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))(^z.((^x1.x1) a))) 3. ==[ beta ]==> ((b (^y.y))(^z.((^x1.x1) a))) 4. ==[ alpha ]==> ((b (^x.x))(^y.((^z.z) a))) 5. ==[ beta ]==> ((b (^x.x))(^y.a)) REDUCED to normal form. ------ 124759/12506139. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))(^c.c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))(^y.y)) REDUCED to normal form. ------ 124760/12506274. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))(^c.(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))(^z.(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (^y.a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (^x.a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124761/12506391. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^a.(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124762/12506418. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^b.(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(a a))) 5. ==[ beta ]==> ((a b)(^y.(a a))) 6. ==[ alpha ]==> ((a b)(^x.(a a))) REDUCED to normal form. ------ 124763/12506445. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))(^b.(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.(^x1.x1))) REDUCED to normal form. ------ 124764/12506472. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^a.(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.(^x1.x1))) 3. ==[ beta ]==> (((^y.y)(b a))(^z.(^x1.x1))) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.z))) 5. ==[ beta ]==> ((b a)(^y.(^z.z))) 6. ==[ alpha ]==> ((b a)(^x.(^y.y))) REDUCED to normal form. ------ 124765/12506502. ------ 1. ==[ start ]==> ((a (^a.a))(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> ((a (^x.x))(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> ((a (^x.x))((^z.z)(b a))) 4. ==[ alpha ]==> ((a (^x.x))((^y.y)(b a))) 5. ==[ beta ]==> ((a (^x.x))(b a)) REDUCED to normal form. ------ 124766/12506529. ------ 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. ------ 124767/12506556. ------ 1. ==[ start ]==> (((^a.a)(a a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((^x.x)(a a))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> ((a a)(((^y.y) a)((^z.z) b))) 4. ==[ alpha ]==> ((a a)(((^x.x) a)((^y.y) b))) 5. ==[ beta ]==> ((a a)(a ((^y.y) b))) 6. ==[ alpha ]==> ((a a)(a ((^x.x) b))) 7. ==[ beta ]==> ((a a)(a b)) REDUCED to normal form. ------ 124768/12506583. ------ 1. ==[ start ]==> ((a (^a.(^a.a)))((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((a (^z.z))((a a)(a a)))) REDUCED to normal form. ------ 124769/12506646. ------ 1. ==[ start ]==> (((a a) b)((b (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a a) b)((b (^x.x))(^y.y))) REDUCED to normal form. ------ 124770/12506673. ------ 1. ==[ start ]==> (((a (^a.a)) a)(((a a)(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) a)(((a a)(a a))(^y.(^z.z)))) REDUCED to normal form. ------ 124771/12506700. ------ 1. ==[ start ]==> (((a a)(^a.(^a.a)))(((^a.a) b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))(((^z.z) b)(^x1.a))) 3. ==[ beta ]==> (((a a)(^x.(^y.y)))(b (^x1.a))) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))(b (^z.a))) REDUCED to normal form. ------ 124772/12506727. ------ 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)))(^y1.(y1 y1)))) REDUCED to normal form. ------ 124773/12506781. ------ 1. ==[ start ]==> (((^a.(^a.a)) b)(((a a)(^a.a))(^c.a))) 2. ==[ alpha ]==> (((^x.(^y.y)) b)(((a a)(^z.z))(^x1.a))) 3. ==[ beta ]==> ((^y.y)(((a a)(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((^x.x)(((a a)(^y.y))(^z.a))) 5. ==[ beta ]==> (((a a)(^y.y))(^z.a)) 6. ==[ alpha ]==> (((a a)(^x.x))(^y.a)) REDUCED to normal form. ------ 124774/12506817. ------ 1. ==[ start ]==> ((a ((^a.a) a))((^b.(a a))(a b))) 2. ==[ alpha ]==> ((a ((^x.x) a))((^y.(a a))(a b))) 3. ==[ beta ]==> ((a a)((^y.(a a))(a b))) 4. ==[ alpha ]==> ((a a)((^x.(a a))(a b))) 5. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 124775/12506862. ------ 1. ==[ start ]==> (((a (^a.a)) b)(((a a) a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x)) b)(((a a) a)(^y.(^z.z)))) REDUCED to normal form. ------ 124776/12506916. ------ 1. ==[ start ]==> (((a a)(^b.a))((a (a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)(^x.a))((a (a a))(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124777/12506943. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(^a.a)))(((^a.a) a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(((^x1.x1) a)(^y1.y1))) 3. ==[ beta ]==> (((a (^x.x))(^y.(^z.z)))(a (^y1.y1))) 4. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))(a (^x1.x1))) REDUCED to normal form. ------ 124778/12507006. ------ 1. ==[ start ]==> (((a a)((^a.a) a))((^a.a)(b (^a.a)))) 2. ==[ alpha ]==> (((a a)((^x.x) a))((^y.y)(b (^z.z)))) 3. ==[ beta ]==> (((a a) a)((^y.y)(b (^z.z)))) 4. ==[ alpha ]==> (((a a) a)((^x.x)(b (^y.y)))) 5. ==[ beta ]==> (((a a) a)(b (^y.y))) 6. ==[ alpha ]==> (((a a) a)(b (^x.x))) REDUCED to normal form. ------ 124779/12507078. ------ 1. ==[ start ]==> (((^a.(a a)) a)(((^a.a) b) c)) 2. ==[ alpha ]==> (((^x.(x x)) a)(((^y.y) b) c)) 3. ==[ beta ]==> ((a a)(((^y.y) b) c)) 4. ==[ alpha ]==> ((a a)(((^x.x) b) c)) 5. ==[ beta ]==> ((a a)(b c)) REDUCED to normal form. ------ 124780/12507087. ------ 1. ==[ start ]==> ((a (a (a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> ((a (a (a a)))((^x.x)(^y.a))) 3. ==[ beta ]==> ((a (a (a a)))(^y.a)) 4. ==[ alpha ]==> ((a (a (a a)))(^x.a)) REDUCED to normal form. ------ 124781/12507330. ------ 1. ==[ start ]==> (((a a)(a (a a)))((^b.a)(^b.b))) 2. ==[ alpha ]==> (((a a)(a (a a)))((^x.a)(^y.y))) 3. ==[ beta ]==> (((a a)(a (a a))) a) REDUCED to normal form. ------ 124782/12507447. ------ 1. ==[ start ]==> (((^a.a)(^b.(^a.a)))(((^a.a) b)(a (^a.a)))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b)(a (^y1.y1)))) 3. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b)(a (^y1.y1)))) 4. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b)(a (^x1.x1)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124783/12507474. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(a a)))((a (^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(z z)))((a (^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> ((^y.y)((a (^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> ((^x.x)((a (^y.(^z.z)))((^x1.x1) a))) 5. ==[ beta ]==> ((a (^y.(^z.z)))((^x1.x1) a)) 6. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.z) a)) 7. ==[ beta ]==> ((a (^x.(^y.y))) a) REDUCED to normal form. ------ 124784/12507528. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.a)))(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 3. ==[ beta ]==> (((^y.(^z.z))(^y.(^z.z)))(((a a)(^x1.x1))((^y1.y1)(^z1.z1)))) 4. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 5. ==[ beta ]==> ((^y.y)(((a a)(^y1.y1))((^z1.z1)(^x2.x2)))) 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)(^x.x))(^z.z)) 10. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124785/12507582. ------ 1. ==[ start ]==> (((^a.a)((^a.a)(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((a b)(a b))) 3. ==[ beta ]==> (((^y.y)(^z.z))((a b)(a b))) 4. ==[ alpha ]==> (((^x.x)(^y.y))((a b)(a b))) 5. ==[ beta ]==> ((^y.y)((a b)(a b))) 6. ==[ alpha ]==> ((^x.x)((a b)(a b))) 7. ==[ beta ]==> ((a b)(a b)) REDUCED to normal form. ------ 124786/12507609. ------ 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. ------ 124787/12507663. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.y)))((a (a a))(b a))) 3. ==[ beta ]==> (((a (^y.y))(a (^y.y)))((a (a a))(b a))) 4. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 124788/12507735. ------ 1. ==[ start ]==> (((a a)((^a.a)(^a.a)))(b (^c.(a a)))) 2. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))(b (^z.(a a)))) 3. ==[ beta ]==> (((a a)(^y.y))(b (^z.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.x))(b (^y.(a a)))) REDUCED to normal form. ------ 124789/12507816. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))((^b.b)(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. ------ 124790/12507843. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((^a.(^a.(^a.a)))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.(^y1.y1)))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.(^x1.x1)))((^y1.y1) a))) 5. ==[ beta ]==> ((a a)((^y.(^z.(^x1.x1)))((^y1.y1) a))) 6. ==[ alpha ]==> ((a a)((^x.(^y.(^z.z)))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)(^y.(^z.z))) 8. ==[ alpha ]==> ((a a)(^x.(^y.y))) REDUCED to normal form. ------ 124791/12507996. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) b)(((^a.a)(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((^y.y) b)(((^z.z)(^x1.x1))(^y1.(^z1.z1)))) 4. ==[ alpha ]==> (((^x.x) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 5. ==[ beta ]==> (b (((^y.y)(^z.z))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> (b (((^x.x)(^y.y))(^z.(^x1.x1)))) 7. ==[ beta ]==> (b ((^y.y)(^z.(^x1.x1)))) 8. ==[ alpha ]==> (b ((^x.x)(^y.(^z.z)))) 9. ==[ beta ]==> (b (^y.(^z.z))) 10. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 124792/12508077. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(^a.a)))((a (^a.a))(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(^z.z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 124793/12508131. ------ 1. ==[ start ]==> (((a (a a))(^b.a))(((a a)(a a)) a)) 2. ==[ alpha ]==> (((a (a a))(^x.a))(((a a)(a a)) a)) REDUCED to normal form. ------ 124794/12508158. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.(^a.a)))(((^a.a) b) b)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.(^x1.x1)))(((^y1.y1) b) b)) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) b) b)) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) b) b)) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) b) b)) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) b) b)) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124795/12508275. ------ 1. ==[ start ]==> ((((^a.a) a)(a (a a)))((^b.(a a))(^c.a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (a a)))((^y.(a a))(^z.a))) 3. ==[ beta ]==> ((a (a (a a)))((^y.(a a))(^z.a))) 4. ==[ alpha ]==> ((a (a (a a)))((^x.(a a))(^y.a))) 5. ==[ beta ]==> ((a (a (a a)))(a a)) REDUCED to normal form. ------ 124796/12508302. ------ 1. ==[ start ]==> (((a (a a))((^a.a) a))((^a.b)(^a.b))) 2. ==[ alpha ]==> (((a (a a))((^x.x) a))((^y.b)(^z.b))) 3. ==[ beta ]==> (((a (a a)) a)((^y.b)(^z.b))) 4. ==[ alpha ]==> (((a (a a)) a)((^x.b)(^y.b))) 5. ==[ beta ]==> (((a (a a)) a) b) REDUCED to normal form. ------ 124797/12508356. ------ 1. ==[ start ]==> ((((a a) a)(a a))((^b.(^a.a))(^c.(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(a a))((^x.(^y.y))(^z.(^x1.x1)))) 3. ==[ beta ]==> ((((a a) a)(a a))(^y.y)) 4. ==[ alpha ]==> ((((a a) a)(a a))(^x.x)) REDUCED to normal form. ------ 124798/12508473. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(a ((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a)(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(a ((a a)(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(a ((a a)(a a)))) IRREDUCIBLE: cycle. ------ 124799/12508536. ------ 1. ==[ start ]==> ((((a a) a) b)((^a.(^a.(^a.a))) c)) 2. ==[ alpha ]==> ((((a a) a) b)((^x.(^y.(^z.z))) c)) 3. ==[ beta ]==> ((((a a) a) b)(^y.(^z.z))) 4. ==[ alpha ]==> ((((a a) a) b)(^x.(^y.y))) REDUCED to normal form. ------ 124800/12508554. ------ 1. ==[ start ]==> (((^a.b)(^a.a))((b a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.y))((b a)((^z.z) a))) 3. ==[ beta ]==> (b ((b a)((^z.z) a))) 4. ==[ alpha ]==> (b ((b a)((^x.x) a))) 5. ==[ beta ]==> (b ((b a) a)) REDUCED to normal form. ------ 124801/12508581. ------ 1. ==[ start ]==> (((^a.a)(a b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((^x.x)(a b))(((a a)(^y.y))(a (a a)))) 3. ==[ beta ]==> ((a b)(((a a)(^y.y))(a (a a)))) 4. ==[ alpha ]==> ((a b)(((a a)(^x.x))(a (a a)))) REDUCED to normal form. ------ 124802/12508608. ------ 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)(a a))((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(((^z.z)(a a))((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))((^z.z)(^x1.x1)))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.z)(^x1.x1))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.y)(^z.z))) 7. ==[ beta ]==> ((a a)((^y.y)(^z.z))) 8. ==[ alpha ]==> ((a a)((^x.x)(^y.y))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 124803/12508662. ------ 1. ==[ start ]==> (((^a.(a a))(a (a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(a (a a)))(((a a) a)(a b))) 3. ==[ beta ]==> (((a (a a))(a (a a)))(((a a) a)(a b))) REDUCED to normal form. ------ 124804/12508743. ------ 1. ==[ start ]==> (((^a.b)(a a))(((^a.a) a)(b a))) 2. ==[ alpha ]==> (((^x.b)(a a))(((^y.y) a)(b a))) 3. ==[ beta ]==> (b (((^y.y) a)(b a))) 4. ==[ alpha ]==> (b (((^x.x) a)(b a))) 5. ==[ beta ]==> (b (a (b a))) REDUCED to normal form. ------ 124805/12508770. ------ 1. ==[ start ]==> ((a (^b.(a a)))((a (^a.a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(a a)))((a (^y.y))(a (^z.(^x1.x1))))) REDUCED to normal form. ------ 124806/12508788. ------ 1. ==[ start ]==> (((a a)(a b))(b (^b.b))) 2. ==[ alpha ]==> (((a a)(a b))(b (^x.x))) REDUCED to normal form. ------ 124807/12508842. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(^a.a)))((^b.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(^z.z)))((^x1.x1)(a a))) 3. ==[ beta ]==> ((a ((^y.y)(^z.z)))((^x1.x1)(a a))) 4. ==[ alpha ]==> ((a ((^x.x)(^y.y)))((^z.z)(a a))) 5. ==[ beta ]==> ((a (^y.y))((^z.z)(a a))) 6. ==[ alpha ]==> ((a (^x.x))((^y.y)(a a))) 7. ==[ beta ]==> ((a (^x.x))(a a)) REDUCED to normal form. ------ 124808/12508869. ------ 1. ==[ start ]==> (((a (a a))(a (a a)))((^a.(^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (a a)))((^x.(^y.(^z.z)))(a (^x1.x1)))) 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. ------ 124809/12508941. ------ 1. ==[ start ]==> (((^a.b) b)(((^a.a)(a a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.b) b)(((^y.y)(a a))(^z.(^x1.x1)))) 3. ==[ beta ]==> (b (((^y.y)(a a))(^z.(^x1.x1)))) 4. ==[ alpha ]==> (b (((^x.x)(a a))(^y.(^z.z)))) 5. ==[ beta ]==> (b ((a a)(^y.(^z.z)))) 6. ==[ alpha ]==> (b ((a a)(^x.(^y.y)))) REDUCED to normal form. ------ 124810/12508950. ------ 1. ==[ start ]==> (((a b)(a a))((^b.(a a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a a))((^x.(a a))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a a))(a a)) REDUCED to normal form. ------ 124811/12508977. ------ 1. ==[ start ]==> ((a ((^a.a)(a a)))((^a.b)((a a) a))) 2. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.b)((a a) a))) 3. ==[ beta ]==> ((a (a a))((^y.b)((a a) a))) 4. ==[ alpha ]==> ((a (a a))((^x.b)((a a) a))) 5. ==[ beta ]==> ((a (a a)) b) REDUCED to normal form. ------ 124812/12509157. ------ 1. ==[ start ]==> (((a b) b)(((^a.a) b) a)) 2. ==[ alpha ]==> (((a b) b)(((^x.x) b) a)) 3. ==[ beta ]==> (((a b) b)(b a)) REDUCED to normal form. ------ 124813/12509184. ------ 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. ------ 124814/12509211. ------ 1. ==[ start ]==> (((a a)(^b.(a a)))((b a) c)) 2. ==[ alpha ]==> (((a a)(^x.(a a)))((b a) c)) REDUCED to normal form. ------ 124815/12509436. ------ 1. ==[ start ]==> (((a a)((^a.a)(a a)))((^a.(^a.a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a a)((^x.x)(a a)))((^y.(^z.z))(^x1.(^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. ------ 124816/12509463. ------ 1. ==[ start ]==> (((a (^a.a))(a b))((^a.a)(^b.b))) 2. ==[ alpha ]==> (((a (^x.x))(a b))((^y.y)(^z.z))) 3. ==[ beta ]==> (((a (^x.x))(a b))(^z.z)) 4. ==[ alpha ]==> (((a (^x.x))(a b))(^y.y)) REDUCED to normal form. ------ 124817/12509688. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(a a)))((a (a a))((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(a a)))((a (a a))((^x1.x1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a (a a))((^x1.x1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a (a a))((^y.y)(a a)))) 5. ==[ beta ]==> ((a (a a))((^y.y)(a a))) 6. ==[ alpha ]==> ((a (a a))((^x.x)(a a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 124818/12509832. ------ 1. ==[ start ]==> (((a b) c)((b a)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a b) c)((b a)(^x.(^y.y)))) REDUCED to normal form. ------ 124819/12509859. ------ 1. ==[ start ]==> ((((^a.a)(a a)) b)(((a a)(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(a a)) b)(((a a)(^y.y))(^z.a))) 3. ==[ beta ]==> (((a a) b)(((a a)(^y.y))(^z.a))) 4. ==[ alpha ]==> (((a a) b)(((a a)(^x.x))(^y.a))) REDUCED to normal form. ------ 124820/12509886. ------ 1. ==[ start ]==> ((((a a)(^a.a)) a)(((^a.a)(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((((a a)(^x.x)) a)(((^y.y)(a a))(^z.(z z)))) 3. ==[ beta ]==> ((((a a)(^x.x)) a)((a a)(^z.(z z)))) 4. ==[ alpha ]==> ((((a a)(^x.x)) a)((a a)(^y.(y y)))) REDUCED to normal form. ------ 124821/12509940. ------ 1. ==[ start ]==> (((a (^a.a))(^b.(a a)))(((a a) a)(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(a a)))(((a a) a)(^z.a))) REDUCED to normal form. ------ 124822/12509967. ------ 1. ==[ start ]==> ((((^a.a) a)(^a.b))(((^a.a)(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.b))(((^z.z)(^x1.x1))(^y1.b))) 3. ==[ beta ]==> ((a (^y.b))(((^z.z)(^x1.x1))(^y1.b))) 4. ==[ alpha ]==> ((a (^x.b))(((^y.y)(^z.z))(^x1.b))) 5. ==[ beta ]==> ((a (^x.b))((^z.z)(^x1.b))) 6. ==[ alpha ]==> ((a (^x.b))((^y.y)(^z.b))) 7. ==[ beta ]==> ((a (^x.b))(^z.b)) 8. ==[ alpha ]==> ((a (^x.b))(^y.b)) REDUCED to normal form. ------ 124823/12510021. ------ 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.y1) a)(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.y)(^z.(^x1.x1)))(((^y1.y1) a)(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.x)(^y.(^z.z)))(((^x1.x1) a)(^y1.(^z1.z1)))) 5. ==[ beta ]==> ((^y.(^z.z))(((^x1.x1) a)(^y1.(^z1.z1)))) 6. ==[ alpha ]==> ((^x.(^y.y))(((^z.z) a)(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124824/12510075. ------ 1. ==[ start ]==> (((a b)(^b.a))((a a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((a b)(^x.a))((a a)(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124825/12510102. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(^a.a)))((a (^a.(^a.a))) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((a (^x1.(^y1.y1))) a)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a (^z.(^x1.x1))) a)) REDUCED to normal form. ------ 124826/12510129. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^a.a))((b a) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((b a) b)) REDUCED to normal form. ------ 124827/12510192. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a)(a a)))((^b.(a a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y)(a a)))((^z.(a a))(^x1.(x1 x1)))) 3. ==[ beta ]==> (((a (^x.x))(a a))((^z.(a a))(^x1.(x1 x1)))) 4. ==[ alpha ]==> (((a (^x.x))(a a))((^y.(a a))(^z.(z z)))) 5. ==[ beta ]==> (((a (^x.x))(a a))(a a)) REDUCED to normal form. ------ 124828/12510219. ------ 1. ==[ start ]==> ((((^a.a) a)(a b))((^a.b)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(a b))((^y.b)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((a (a b))((^y.b)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((a (a b))((^x.b)(^y.(^z.z)))) 5. ==[ beta ]==> ((a (a b)) b) REDUCED to normal form. ------ 124829/12510273. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(^a.a)))((^b.(^a.a))(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 3. ==[ beta ]==> (((^y.y)((^z.z)(^x1.x1)))((^y1.(^z1.z1))(^x2.b))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(^z.z)))((^x1.(^y1.y1))(^z1.b))) 5. ==[ beta ]==> (((^y.y)(^z.z))((^x1.(^y1.y1))(^z1.b))) 6. ==[ alpha ]==> (((^x.x)(^y.y))((^z.(^x1.x1))(^y1.b))) 7. ==[ beta ]==> ((^y.y)((^z.(^x1.x1))(^y1.b))) 8. ==[ alpha ]==> ((^x.x)((^y.(^z.z))(^x1.b))) 9. ==[ beta ]==> ((^y.(^z.z))(^x1.b)) 10. ==[ alpha ]==> ((^x.(^y.y))(^z.b)) 11. ==[ beta ]==> (^y.y) 12. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124830/12510300. ------ 1. ==[ start ]==> ((((a a) a)(a (a a)))((^a.(a a))(^b.(a a)))) 2. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(x x))(^y.(a a)))) 3. ==[ beta ]==> ((((a a) a)(a (a a)))((^y.(a a))(^y.(a a)))) 4. ==[ alpha ]==> ((((a a) a)(a (a a)))((^x.(a a))(^y.(a a)))) 5. ==[ beta ]==> ((((a a) a)(a (a a)))(a a)) REDUCED to normal form. ------ 124831/12510327. ------ 1. ==[ start ]==> (((a b)((^a.a) a))((^b.a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)((^x.x) a))((^y.a)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a b) a)((^y.a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a b) a)((^x.a)(^y.(^z.z)))) 5. ==[ beta ]==> (((a b) a) a) REDUCED to normal form. ------ 124832/12510381. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a a))((^a.a)(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a a))((^y.y)(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((((a a)(^x.x))(a a))(^z.(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((((a a)(^x.x))(a a))(^y.(^z.(^x1.x1)))) REDUCED to normal form. ------ 124833/12510498. ------ 1. ==[ start ]==> (((^a.(a a))(^a.b))((a b)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.b))((a b)(a (a a)))) 3. ==[ beta ]==> (((^y.b)(^y.b))((a b)(a (a a)))) 4. ==[ alpha ]==> (((^x.b)(^y.b))((a b)(a (a a)))) 5. ==[ beta ]==> (b ((a b)(a (a a)))) REDUCED to normal form. ------ 124834/12510579. ------ 1. ==[ start ]==> (((^a.b)(^a.(a a)))((a (a a))(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(y y)))((a (a a))(a b))) 3. ==[ beta ]==> (b ((a (a a))(a b))) REDUCED to normal form. ------ 124835/12510750. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(a a)))(((^a.a)(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(a a)))(((^z.z)(a a))(^x1.a))) 3. ==[ beta ]==> ((a (^y.(a a)))(((^z.z)(a a))(^x1.a))) 4. ==[ alpha ]==> ((a (^x.(a a)))(((^y.y)(a a))(^z.a))) 5. ==[ beta ]==> ((a (^x.(a a)))((a a)(^z.a))) 6. ==[ alpha ]==> ((a (^x.(a a)))((a a)(^y.a))) REDUCED to normal form. ------ 124836/12510777. ------ 1. ==[ start ]==> (((a (a a))(^a.b))((a b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(^x.b))((a b)(^y.(y y)))) REDUCED to normal form. ------ 124837/12510831. ------ 1. ==[ start ]==> ((((a a) a)(^b.(^a.a)))(((^a.a)(^a.a))(^c.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. ------ 124838/12510858. ------ 1. ==[ start ]==> (((a b)(^a.(a a)))((a (a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(^x.(x x)))((a (a a))(^y.b))) REDUCED to normal form. ------ 124839/12510885. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.a))(((^a.a) a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.a))(((^z.z) a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)(^y.a))(((^z.z) a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)(^x.a))(((^y.y) a)(^z.(a a)))) 5. ==[ beta ]==> (((a a)(^x.a))(a (^z.(a a)))) 6. ==[ alpha ]==> (((a a)(^x.a))(a (^y.(a a)))) REDUCED to normal form. ------ 124840/12511029. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a)(a a)))((^b.(a a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y)(a a)))((^z.(a a))(^x1.a))) 3. ==[ beta ]==> ((a ((^y.y)(a a)))((^z.(a a))(^x1.a))) 4. ==[ alpha ]==> ((a ((^x.x)(a a)))((^y.(a a))(^z.a))) 5. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.a))) 6. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.a))) 7. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 124841/12511056. ------ 1. ==[ start ]==> (((a (a a))(a b))((^a.b)(^a.(a a)))) 2. ==[ alpha ]==> (((a (a a))(a b))((^x.b)(^y.(y y)))) 3. ==[ beta ]==> (((a (a a))(a b)) b) REDUCED to normal form. ------ 124842/12511110. ------ 1. ==[ start ]==> ((((a a) a)((^a.a)(^a.a)))((^b.(^a.a))(^c.a))) 2. ==[ alpha ]==> ((((a a) a)((^x.x)(^y.y)))((^z.(^x1.x1))(^y1.a))) 3. ==[ beta ]==> ((((a a) a)(^y.y))((^z.(^x1.x1))(^y1.a))) 4. ==[ alpha ]==> ((((a a) a)(^x.x))((^y.(^z.z))(^x1.a))) 5. ==[ beta ]==> ((((a a) a)(^x.x))(^z.z)) 6. ==[ alpha ]==> ((((a a) a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124843/12511137. ------ 1. ==[ start ]==> (((a b)(a (a a)))((^a.(a a))(^a.b))) 2. ==[ alpha ]==> (((a b)(a (a a)))((^x.(x x))(^y.b))) 3. ==[ beta ]==> (((a b)(a (a a)))((^y.b)(^y.b))) 4. ==[ alpha ]==> (((a b)(a (a a)))((^x.b)(^y.b))) 5. ==[ beta ]==> (((a b)(a (a a))) b) REDUCED to normal form. ------ 124844/12511164. ------ 1. ==[ start ]==> ((((^a.a)(a a))((^a.a) a))((^b.a)(^b.(a a)))) 2. ==[ alpha ]==> ((((^x.x)(a a))((^y.y) a))((^z.a)(^x1.(a a)))) 3. ==[ beta ]==> (((a a)((^y.y) a))((^z.a)(^x1.(a a)))) 4. ==[ alpha ]==> (((a a)((^x.x) a))((^y.a)(^z.(a a)))) 5. ==[ beta ]==> (((a a) a)((^y.a)(^z.(a a)))) 6. ==[ alpha ]==> (((a a) a)((^x.a)(^y.(a a)))) 7. ==[ beta ]==> (((a a) a) a) REDUCED to normal form. ------ 124845/12511254. ------ 1. ==[ start ]==> (((^a.a)(^a.(^a.(^a.a))))(((a a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.x)(^y.(^z.(^x1.x1))))(((a a)(^y1.y1))(a a))) 3. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(((a a)(^y1.y1))(a a))) 4. ==[ alpha ]==> ((^x.(^y.(^z.z)))(((a a)(^x1.x1))(a a))) 5. ==[ beta ]==> (^y.(^z.z)) 6. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124846/12511335. ------ 1. ==[ start ]==> (((^a.(a a))(^b.(a a)))(((a a) a)(a (a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(a a)))(((a a) a)(a (a a)))) 3. ==[ beta ]==> (((^y.(a a))(^y.(a a)))(((a a) a)(a (a a)))) 4. ==[ alpha ]==> (((^x.(a a))(^y.(a a)))(((a a) a)(a (a a)))) 5. ==[ beta ]==> ((a a)(((a a) a)(a (a a)))) REDUCED to normal form. ------ 124847/12511416. ------ 1. ==[ start ]==> (((^a.b)(^b.(^a.a)))(((^a.a) a)(a b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(((^x1.x1) a)(a b))) 3. ==[ beta ]==> (b (((^x1.x1) a)(a b))) 4. ==[ alpha ]==> (b (((^x.x) a)(a b))) 5. ==[ beta ]==> (b (a (a b))) REDUCED to normal form. ------ 124848/12511533. ------ 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))(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((a a)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 124849/12511560. ------ 1. ==[ start ]==> (((a a)(^a.(^a.(^a.a))))((a b)(^b.a))) 2. ==[ alpha ]==> (((a a)(^x.(^y.(^z.z))))((a b)(^x1.a))) REDUCED to normal form. ------ 124850/12511641. ------ 1. ==[ start ]==> (((a (a a))(^b.(a a)))((a (a a))(^c.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(a a)))((a (a a))(^y.a))) REDUCED to normal form. ------ 124851/12511668. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.b))(((^a.a) a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.b))(((^x1.x1) a)(^y1.b))) 3. ==[ beta ]==> (((^y.y)(^z.b))(((^x1.x1) a)(^y1.b))) 4. ==[ alpha ]==> (((^x.x)(^y.b))(((^z.z) a)(^x1.b))) 5. ==[ beta ]==> ((^y.b)(((^z.z) a)(^x1.b))) 6. ==[ alpha ]==> ((^x.b)(((^y.y) a)(^z.b))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124852/12511722. ------ 1. ==[ start ]==> (((a b)(^b.(^a.a)))((a a)(^c.(^a.a)))) 2. ==[ alpha ]==> (((a b)(^x.(^y.y)))((a a)(^z.(^x1.x1)))) REDUCED to normal form. ------ 124853/12511749. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.(a a)))(((a a)(^a.a)) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(y y)))(((a a)(^z.z)) a)) 3. ==[ beta ]==> (((a a)(^y.(y y)))(((a a)(^z.z)) a)) 4. ==[ alpha ]==> (((a a)(^x.(x x)))(((a a)(^y.y)) a)) REDUCED to normal form. ------ 124854/12511776. ------ 1. ==[ start ]==> ((((a a)(^a.a))(^b.a))(((^a.a)(a a)) b)) 2. ==[ alpha ]==> ((((a a)(^x.x))(^y.a))(((^z.z)(a a)) b)) 3. ==[ beta ]==> ((((a a)(^x.x))(^y.a))((a a) b)) REDUCED to normal form. ------ 124855/12511866. ------ 1. ==[ start ]==> (((a a)(a (^a.(^a.a))))((^b.(^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))((^z.(^x1.x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> (((a a)(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a a)(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 124856/12511893. ------ 1. ==[ start ]==> (((a (^a.a))(b a))((^a.(a a))(^c.a))) 2. ==[ alpha ]==> (((a (^x.x))(b a))((^y.(y y))(^z.a))) 3. ==[ beta ]==> (((a (^x.x))(b a))((^z.a)(^z.a))) 4. ==[ alpha ]==> (((a (^x.x))(b a))((^y.a)(^z.a))) 5. ==[ beta ]==> (((a (^x.x))(b a)) a) REDUCED to normal form. ------ 124857/12511920. ------ 1. ==[ start ]==> ((((^a.a) a)((a a)(^a.a)))((^b.a)(^a.b))) 2. ==[ alpha ]==> ((((^x.x) a)((a a)(^y.y)))((^z.a)(^x1.b))) 3. ==[ beta ]==> ((a ((a a)(^y.y)))((^z.a)(^x1.b))) 4. ==[ alpha ]==> ((a ((a a)(^x.x)))((^y.a)(^z.b))) 5. ==[ beta ]==> ((a ((a a)(^x.x))) a) REDUCED to normal form. ------ 124858/12511947. ------ 1. ==[ start ]==> (((a (a a))((^a.a)(a a)))((^a.(^a.a))(^b.(a a)))) 2. ==[ alpha ]==> (((a (a a))((^x.x)(a a)))((^y.(^z.z))(^x1.(a a)))) 3. ==[ beta ]==> (((a (a a))(a a))((^y.(^z.z))(^x1.(a a)))) 4. ==[ alpha ]==> (((a (a a))(a a))((^x.(^y.y))(^z.(a a)))) 5. ==[ beta ]==> (((a (a a))(a a))(^y.y)) 6. ==[ alpha ]==> (((a (a a))(a a))(^x.x)) REDUCED to normal form. ------ 124859/12511974. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a b))((^a.a)(^c.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a b))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> (((^y.y)(a b))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> (((^x.x)(a b))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((a b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((a b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((a b)(^y.(^z.z))) 8. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 124860/12512163. ------ 1. ==[ start ]==> ((a ((^a.a) b))(c (^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) b))(c (^y.b))) 3. ==[ beta ]==> ((a b)(c (^y.b))) 4. ==[ alpha ]==> ((a b)(c (^x.b))) REDUCED to normal form. ------ 124861/12512172. ------ 1. ==[ start ]==> (((^a.a)(^b.b))((a (^a.a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.y))((a (^z.z))(a b))) 3. ==[ beta ]==> ((^y.y)((a (^z.z))(a b))) 4. ==[ alpha ]==> ((^x.x)((a (^y.y))(a b))) 5. ==[ beta ]==> ((a (^y.y))(a b)) 6. ==[ alpha ]==> ((a (^x.x))(a b)) REDUCED to normal form. ------ 124862/12512199. ------ 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)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((a a)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((a a)((^y.y)(a a)))) 5. ==[ beta ]==> ((a a)((^y.y)(a a))) 6. ==[ alpha ]==> ((a a)((^x.x)(a a))) 7. ==[ beta ]==> ((a a)(a a)) REDUCED to normal form. ------ 124863/12512451. ------ 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. ------ 124864/12512478. ------ 1. ==[ start ]==> ((((^a.a) b) a)((a b) b)) 2. ==[ alpha ]==> ((((^x.x) b) a)((a b) b)) 3. ==[ beta ]==> ((b a)((a b) b)) REDUCED to normal form. ------ 124865/12512505. ------ 1. ==[ start ]==> (((a a)(^b.b))(((a a) a) c)) 2. ==[ alpha ]==> (((a a)(^x.x))(((a a) a) c)) REDUCED to normal form. ------ 124866/12512658. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(a ((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(a ((^y.y)(a a)))) 3. ==[ beta ]==> (b (a ((^y.y)(a a)))) 4. ==[ alpha ]==> (b (a ((^x.x)(a a)))) 5. ==[ beta ]==> (b (a (a a))) REDUCED to normal form. ------ 124867/12512667. ------ 1. ==[ start ]==> (((a b)(^c.a))((^b.(a a)) a)) 2. ==[ alpha ]==> (((a b)(^x.a))((^y.(a a)) a)) 3. ==[ beta ]==> (((a b)(^x.a))(a a)) REDUCED to normal form. ------ 124868/12512694. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^b.(^a.a)))((^a.b) b)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.(^z.z)))((^x1.b) b)) 3. ==[ beta ]==> (((a a)(^y.(^z.z)))((^x1.b) b)) 4. ==[ alpha ]==> (((a a)(^x.(^y.y)))((^z.b) b)) 5. ==[ beta ]==> (((a a)(^x.(^y.y))) b) REDUCED to normal form. ------ 124869/12512766. ------ 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))(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. ------ 124870/12512838. ------ 1. ==[ start ]==> (((a a)((^a.a) b))(b (^a.b))) 2. ==[ alpha ]==> (((a a)((^x.x) b))(b (^y.b))) 3. ==[ beta ]==> (((a a) b)(b (^y.b))) 4. ==[ alpha ]==> (((a a) b)(b (^x.b))) REDUCED to normal form. ------ 124871/12512865. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.(^a.a))))(a (^b.(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.(^z.z))))(a (^x1.(a a)))) REDUCED to normal form. ------ 124872/12512892. ------ 1. ==[ start ]==> ((((^a.a) a)(b a))((^a.b)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(b a))((^y.b)(a a))) 3. ==[ beta ]==> ((a (b a))((^y.b)(a a))) 4. ==[ alpha ]==> ((a (b a))((^x.b)(a a))) 5. ==[ beta ]==> ((a (b a)) b) REDUCED to normal form. ------ 124873/12512946. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((^a.a)(a a)))((^b.(^a.a))((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 3. ==[ beta ]==> (((^y.y)((^z.z)(a a)))((^x1.(^y1.y1))((^z1.z1) a))) 4. ==[ alpha ]==> (((^x.x)((^y.y)(a a)))((^z.(^x1.x1))((^y1.y1) a))) 5. ==[ beta ]==> (((^y.y)(a a))((^z.(^x1.x1))((^y1.y1) a))) 6. ==[ alpha ]==> (((^x.x)(a a))((^y.(^z.z))((^x1.x1) a))) 7. ==[ beta ]==> ((a a)((^y.(^z.z))((^x1.x1) a))) 8. ==[ alpha ]==> ((a a)((^x.(^y.y))((^z.z) a))) 9. ==[ beta ]==> ((a a)(^y.y)) 10. ==[ alpha ]==> ((a a)(^x.x)) REDUCED to normal form. ------ 124874/12512973. ------ 1. ==[ start ]==> ((((a a) a)(a b))((^a.(a a))(a (a a)))) 2. ==[ alpha ]==> ((((a a) a)(a b))((^x.(x x))(a (a a)))) 3. ==[ beta ]==> ((((a a) a)(a b))((a (a a))(a (a a)))) REDUCED to normal form. ------ 124875/12513000. ------ 1. ==[ start ]==> (((a b)((a a) a))((^b.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)((a a) a))((^x.a)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)((a a) a)) a) REDUCED to normal form. ------ 124876/12513027. ------ 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))((a a) a))) 3. ==[ beta ]==> (((a a)((^y.y)(^z.z)))((^x1.(^y1.y1))((a a) a))) 4. ==[ alpha ]==> (((a a)((^x.x)(^y.y)))((^z.(^x1.x1))((a a) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.(^x1.x1))((a a) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.(^z.z))((a a) a))) 7. ==[ beta ]==> (((a a)(^x.x))(^z.z)) 8. ==[ alpha ]==> (((a a)(^x.x))(^y.y)) REDUCED to normal form. ------ 124877/12513054. ------ 1. ==[ start ]==> ((((a a)(^a.a))(a (a a)))((^a.a)(a b))) 2. ==[ alpha ]==> ((((a a)(^x.x))(a (a a)))((^y.y)(a b))) 3. ==[ beta ]==> ((((a a)(^x.x))(a (a a)))(a b)) REDUCED to normal form. ------ 124878/12513135. ------ 1. ==[ start ]==> ((((^a.a) b)(a a))((^b.(^a.a))(^b.a))) 2. ==[ alpha ]==> ((((^x.x) b)(a a))((^y.(^z.z))(^x1.a))) 3. ==[ beta ]==> ((b (a a))((^y.(^z.z))(^x1.a))) 4. ==[ alpha ]==> ((b (a a))((^x.(^y.y))(^z.a))) 5. ==[ beta ]==> ((b (a a))(^y.y)) 6. ==[ alpha ]==> ((b (a a))(^x.x)) REDUCED to normal form. ------ 124879/12513162. ------ 1. ==[ start ]==> ((a ((a a)(a a)))((^a.(a a))(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.(y y)))) 3. ==[ beta ]==> ((a ((a a)(a a)))((^y.(y y))(^y.(y y)))) 4. ==[ alpha ]==> ((a ((a a)(a a)))((^x.(x x))(^y.(y y)))) IRREDUCIBLE: cycle. ------ 124880/12513198. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.b))(c ((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.z))(c ((^x1.x1)(^y1.y1)))) 3. ==[ beta ]==> ((^y.y)(c ((^x1.x1)(^y1.y1)))) 4. ==[ alpha ]==> ((^x.x)(c ((^y.y)(^z.z)))) 5. ==[ beta ]==> (c ((^y.y)(^z.z))) 6. ==[ alpha ]==> (c ((^x.x)(^y.y))) 7. ==[ beta ]==> (c (^y.y)) 8. ==[ alpha ]==> (c (^x.x)) REDUCED to normal form. ------ 124881/12513333. ------ 1. ==[ start ]==> (((^a.b)(^a.b))((a (a a))((^a.a) a))) 2. ==[ alpha ]==> (((^x.b)(^y.b))((a (a a))((^z.z) a))) 3. ==[ beta ]==> (b ((a (a a))((^z.z) a))) 4. ==[ alpha ]==> (b ((a (a a))((^x.x) a))) 5. ==[ beta ]==> (b ((a (a a)) a)) REDUCED to normal form. ------ 124882/12513477. ------ 1. ==[ start ]==> ((((^a.a) b) b)(((^a.a)(^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b) b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b b)(((^y.y)(^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b b)(((^x.x)(^y.y))(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b b)((^y.y)(^z.(^x1.x1)))) 6. ==[ alpha ]==> ((b b)((^x.x)(^y.(^z.z)))) 7. ==[ beta ]==> ((b b)(^y.(^z.z))) 8. ==[ alpha ]==> ((b b)(^x.(^y.y))) REDUCED to normal form. ------ 124883/12513504. ------ 1. ==[ start ]==> ((((a a)(a a)) a)((a (a a))(^b.a))) 2. ==[ alpha ]==> ((((a a)(a a)) a)((a (a a))(^x.a))) REDUCED to normal form. ------ 124884/12513558. ------ 1. ==[ start ]==> (((a (^a.a))(^b.b))((a (^a.a))(^b.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.y))((a (^z.z))(^x1.(^y1.y1)))) REDUCED to normal form. ------ 124885/12513666. ------ 1. ==[ start ]==> ((((a a) a)(^b.(a a)))((a (a a)) c)) 2. ==[ alpha ]==> ((((a a) a)(^x.(a a)))((a (a a)) c)) REDUCED to normal form. ------ 124886/12513792. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))((^a.a) a))(((^a.a)(^a.a))(a a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))((^x1.x1) a))(((^y1.y1)(^z1.z1))(a a))) 3. ==[ beta ]==> ((^y.(^z.z))(((^y1.y1)(^z1.z1))(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. ------ 124887/12513801. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^b.a))((^b.(^a.a)) b)) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))((^x1.(^y1.y1)) b)) 3. ==[ beta ]==> (((a (^x.(^y.y)))(^z.a))(^y1.y1)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.a))(^x1.x1)) REDUCED to normal form. ------ 124888/12513828. ------ 1. ==[ start ]==> ((((^a.a) b)(^a.(^a.a)))((^a.(a a)) c)) 2. ==[ alpha ]==> ((((^x.x) b)(^y.(^z.z)))((^x1.(x1 x1)) c)) 3. ==[ beta ]==> ((b (^y.(^z.z)))((^x1.(x1 x1)) c)) 4. ==[ alpha ]==> ((b (^x.(^y.y)))((^z.(z z)) c)) 5. ==[ beta ]==> ((b (^x.(^y.y)))(c c)) REDUCED to normal form. ------ 124889/12513891. ------ 1. ==[ start ]==> (((a a)((a a)(a a)))(b (^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)((a a)(a a)))(b (^x.(^y.y)))) REDUCED to normal form. ------ 124890/12513918. ------ 1. ==[ start ]==> (((a (^a.a))((^a.a) b))(a (^c.a))) 2. ==[ alpha ]==> (((a (^x.x))((^y.y) b))(a (^z.a))) 3. ==[ beta ]==> (((a (^x.x)) b)(a (^z.a))) 4. ==[ alpha ]==> (((a (^x.x)) b)(a (^y.a))) REDUCED to normal form. ------ 124891/12513945. ------ 1. ==[ start ]==> ((((^a.a) a)(a (^a.(^a.a))))((^b.(^a.a))(a a))) 2. ==[ alpha ]==> ((((^x.x) a)(a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 3. ==[ beta ]==> ((a (a (^y.(^z.z))))((^x1.(^y1.y1))(a a))) 4. ==[ alpha ]==> ((a (a (^x.(^y.y))))((^z.(^x1.x1))(a a))) 5. ==[ beta ]==> ((a (a (^x.(^y.y))))(^x1.x1)) 6. ==[ alpha ]==> ((a (a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 124892/12513972. ------ 1. ==[ start ]==> (((a (a a))(b a))((^a.(a a))(a (^a.a)))) 2. ==[ alpha ]==> (((a (a a))(b a))((^x.(x x))(a (^y.y)))) 3. ==[ beta ]==> (((a (a a))(b a))((a (^y.y))(a (^y.y)))) 4. ==[ alpha ]==> (((a (a a))(b a))((a (^x.x))(a (^y.y)))) REDUCED to normal form. ------ 124893/12513999. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))((a a)(^a.a)))((^b.a)((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))((a a)(^z.z)))((^x1.a)((^y1.y1) a))) 3. ==[ beta ]==> (((^y.y)((a a)(^z.z)))((^x1.a)((^y1.y1) a))) 4. ==[ alpha ]==> (((^x.x)((a a)(^y.y)))((^z.a)((^x1.x1) a))) 5. ==[ beta ]==> (((a a)(^y.y))((^z.a)((^x1.x1) a))) 6. ==[ alpha ]==> (((a a)(^x.x))((^y.a)((^z.z) a))) 7. ==[ beta ]==> (((a a)(^x.x)) a) REDUCED to normal form. ------ 124894/12514026. ------ 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. ------ 124895/12514053. ------ 1. ==[ start ]==> (((a b)(a b))((^a.a)((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))((^x.x)((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a b)(a b))((^y.y)(^z.z))) 4. ==[ alpha ]==> (((a b)(a b))((^x.x)(^y.y))) 5. ==[ beta ]==> (((a b)(a b))(^y.y)) 6. ==[ alpha ]==> (((a b)(a b))(^x.x)) REDUCED to normal form. ------ 124896/12514080. ------ 1. ==[ start ]==> ((((^a.a)(a a))((a a) a))((^b.(^a.a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x)(a a))((a a) a))((^y.(^z.z))(^x1.x1))) 3. ==[ beta ]==> (((a a)((a a) a))((^y.(^z.z))(^x1.x1))) 4. ==[ alpha ]==> (((a a)((a a) a))((^x.(^y.y))(^z.z))) 5. ==[ beta ]==> (((a a)((a a) a))(^y.y)) 6. ==[ alpha ]==> (((a a)((a a) a))(^x.x)) REDUCED to normal form. ------ 124897/12514107. ------ 1. ==[ start ]==> ((((a a)(^a.a))((^a.a)(^a.a)))((^a.(a a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((a a)(^x.x))((^y.y)(^z.z)))((^x1.(x1 x1))(^y1.(^z1.z1)))) 3. ==[ beta ]==> ((((a a)(^x.x))(^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)(^x.x))(^y.y))((^x1.(^y1.y1))(^x1.(^y1.y1)))) 6. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))((^z.(^x1.x1))(^y1.(^z1.z1)))) 7. ==[ beta ]==> ((((a a)(^x.x))(^y.y))(^x1.x1)) 8. ==[ alpha ]==> ((((a a)(^x.x))(^y.y))(^z.z)) REDUCED to normal form. ------ 124898/12514161. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))((^a.a) a))((^a.(^a.a))(^a.(a a)))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))((^z.z) a))((^x1.(^y1.y1))(^z1.(z1 z1)))) 3. ==[ beta ]==> (((a (^x.(^y.y))) a)((^x1.(^y1.y1))(^z1.(z1 z1)))) 4. ==[ alpha ]==> (((a (^x.(^y.y))) a)((^z.(^x1.x1))(^y1.(y1 y1)))) 5. ==[ beta ]==> (((a (^x.(^y.y))) a)(^x1.x1)) 6. ==[ alpha ]==> (((a (^x.(^y.y))) a)(^z.z)) REDUCED to normal form. ------ 124899/12514188. ------ 1. ==[ start ]==> ((((^a.a) b)(a (^a.a)))((^a.a)(^b.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((b (a (^y.y)))((^z.z)(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((b (a (^x.x)))((^y.y)(^z.(^x1.x1)))) 5. ==[ beta ]==> ((b (a (^x.x)))(^z.(^x1.x1))) 6. ==[ alpha ]==> ((b (a (^x.x)))(^y.(^z.z))) REDUCED to normal form. ------ 124900/12514521. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(a a)))(b ((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(x1 x1)))(b ((^y1.y1) a))) 3. ==[ beta ]==> ((^y.(^z.z))(b ((^y1.y1) a))) 4. ==[ alpha ]==> ((^x.(^y.y))(b ((^z.z) a))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124901/12514557. ------ 1. ==[ start ]==> ((((^a.a) b) c)((^a.(a a)) a)) 2. ==[ alpha ]==> ((((^x.x) b) c)((^y.(y y)) a)) 3. ==[ beta ]==> ((b c)((^y.(y y)) a)) 4. ==[ alpha ]==> ((b c)((^x.(x x)) a)) 5. ==[ beta ]==> ((b c)(a a)) REDUCED to normal form. ------ 124902/12514584. ------ 1. ==[ start ]==> ((((a a)(a a)) b)((^b.a) b)) 2. ==[ alpha ]==> ((((a a)(a a)) b)((^x.a) b)) 3. ==[ beta ]==> ((((a a)(a a)) b) a) REDUCED to normal form. ------ 124903/12514629. ------ 1. ==[ start ]==> (((^a.a)(b (^a.a)))((a a)((^a.a) a))) 2. ==[ alpha ]==> (((^x.x)(b (^y.y)))((a a)((^z.z) a))) 3. ==[ beta ]==> ((b (^y.y))((a a)((^z.z) a))) 4. ==[ alpha ]==> ((b (^x.x))((a a)((^y.y) a))) 5. ==[ beta ]==> ((b (^x.x))((a a) a)) REDUCED to normal form. ------ 124904/12514692. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.b))((a (^a.a))(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.y))((a (^z.z))(^x1.(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.y))((a (^z.z))(^x1.(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.x))((a (^y.y))(^z.(^x1.x1)))) REDUCED to normal form. ------ 124905/12514710. ------ 1. ==[ start ]==> (((^a.(a a))(a (^a.(^a.a))))(b c)) 2. ==[ alpha ]==> (((^x.(x x))(a (^y.(^z.z))))(b c)) 3. ==[ beta ]==> (((a (^y.(^z.z)))(a (^y.(^z.z))))(b c)) 4. ==[ alpha ]==> (((a (^x.(^y.y)))(a (^z.(^x1.x1))))(b c)) REDUCED to normal form. ------ 124906/12514719. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.(^a.a))))((a a)(^b.a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.(^z.z))))((a a)(^x1.a))) REDUCED to normal form. ------ 124907/12514791. ------ 1. ==[ start ]==> (((^a.b)((^a.a)(a a)))(b (a (^a.a)))) 2. ==[ alpha ]==> (((^x.b)((^y.y)(a a)))(b (a (^z.z)))) 3. ==[ beta ]==> (b (b (a (^z.z)))) 4. ==[ alpha ]==> (b (b (a (^x.x)))) REDUCED to normal form. ------ 124908/12514800. ------ 1. ==[ start ]==> (((a b)(^b.(a a)))((a a) c)) 2. ==[ alpha ]==> (((a b)(^x.(a a)))((a a) c)) REDUCED to normal form. ------ 124909/12514827. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))((^b.a) a)) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))((^z.a) a)) 3. ==[ beta ]==> (((a a)(^y.b))((^z.a) a)) 4. ==[ alpha ]==> (((a a)(^x.b))((^y.a) a)) 5. ==[ beta ]==> (((a a)(^x.b)) a) REDUCED to normal form. ------ 124910/12514908. ------ 1. ==[ start ]==> (((a (^a.(^a.a)))(^a.(a a)))((a (^a.a))(^a.a))) 2. ==[ alpha ]==> (((a (^x.(^y.y)))(^z.(z z)))((a (^x1.x1))(^y1.y1))) REDUCED to normal form. ------ 124911/12514935. ------ 1. ==[ start ]==> ((((^a.a) b)(^b.a))((a a)(^a.(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) b)(^y.a))((a a)(^z.(^x1.x1)))) 3. ==[ beta ]==> ((b (^y.a))((a a)(^z.(^x1.x1)))) 4. ==[ alpha ]==> ((b (^x.a))((a a)(^y.(^z.z)))) REDUCED to normal form. ------ 124912/12514962. ------ 1. ==[ start ]==> ((((a a)(a a))(^a.(^a.a)))((a (^a.a)) a)) 2. ==[ alpha ]==> ((((a a)(a a))(^x.(^y.y)))((a (^z.z)) a)) REDUCED to normal form. ------ 124913/12515025. ------ 1. ==[ start ]==> (((a a)(b (^a.a)))(b (^a.a))) 2. ==[ alpha ]==> (((a a)(b (^x.x)))(b (^y.y))) REDUCED to normal form. ------ 124914/12515052. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(a (^a.(^a.a)))) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(a (^y.(^z.z)))) REDUCED to normal form. ------ 124915/12515079. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))((^a.a)(a a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))((^z.z)(a a))) 3. ==[ beta ]==> ((a ((^y.y) b))((^z.z)(a a))) 4. ==[ alpha ]==> ((a ((^x.x) b))((^y.y)(a a))) 5. ==[ beta ]==> ((a b)((^y.y)(a a))) 6. ==[ alpha ]==> ((a b)((^x.x)(a a))) 7. ==[ beta ]==> ((a b)(a a)) REDUCED to normal form. ------ 124916/12515106. ------ 1. ==[ start ]==> (((a (a a))(a (^a.(^a.a))))((^a.a)(^a.a))) 2. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))((^z.z)(^x1.x1))) 3. ==[ beta ]==> (((a (a a))(a (^x.(^y.y))))(^x1.x1)) 4. ==[ alpha ]==> (((a (a a))(a (^x.(^y.y))))(^z.z)) REDUCED to normal form. ------ 124917/12515133. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(a (^a.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(a (^z.z))) 3. ==[ beta ]==> (((^y.y)(b a))(a (^z.z))) 4. ==[ alpha ]==> (((^x.x)(b a))(a (^y.y))) 5. ==[ beta ]==> ((b a)(a (^y.y))) 6. ==[ alpha ]==> ((b a)(a (^x.x))) REDUCED to normal form. ------ 124918/12519618. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))(^y1.(y1 a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 124919/12523797. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a)) c) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a)) c) 3. ==[ beta ]==> (((^y.y)(b a)) c) 4. ==[ alpha ]==> (((^x.x)(b a)) c) 5. ==[ beta ]==> ((b a) c) REDUCED to normal form. ------ 124920/12524073. ------ 1. ==[ start ]==> ((^a.(^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((^x.(^y.x))((^z.(^x1.(^y1.y1)))(a (a a)))) 3. ==[ beta ]==> (^y.((^z.(^x1.(^y1.y1)))(a (a a)))) 4. ==[ alpha ]==> (^x.((^y.(^z.(^x1.x1)))(a (a a)))) 5. ==[ beta ]==> (^x.(^z.(^x1.x1))) 6. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 124921/12524145. ------ 1. ==[ start ]==> ((^a.((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((^x.((^y.y) x))(((^z.z)(a a))(^x1.b))) 3. ==[ eta ]==> ((^y.y)(((^z.z)(a a))(^x1.b))) 4. ==[ alpha ]==> ((^x.x)(((^y.y)(a a))(^z.b))) 5. ==[ beta ]==> (((^y.y)(a a))(^z.b)) 6. ==[ alpha ]==> (((^x.x)(a a))(^y.b)) 7. ==[ beta ]==> ((a a)(^y.b)) 8. ==[ alpha ]==> ((a a)(^x.b)) REDUCED to normal form. ------ 124922/12524316. ------ 1. ==[ start ]==> ((^a.(^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((^x.(^y.(y y)))((^z.(^x1.x1))((a a)(a a)))) 3. ==[ beta ]==> (^y.(y y)) 4. ==[ alpha ]==> (^x.(x x)) REDUCED to normal form. ------ 124923/12524415. ------ 1. ==[ start ]==> ((^a.(a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((^x.(x (x x)))(((^y.y) b) c)) 3. ==[ beta ]==> ((((^y.y) b) c)((((^y.y) b) c)(((^y.y) b) c))) 4. ==[ alpha ]==> ((((^x.x) b) c)((((^y.y) b) c)(((^z.z) b) c))) 5. ==[ beta ]==> ((b c)((((^y.y) b) c)(((^z.z) b) c))) 6. ==[ alpha ]==> ((b c)((((^x.x) b) c)(((^y.y) b) c))) 7. ==[ beta ]==> ((b c)((b c)(((^y.y) b) c))) 8. ==[ alpha ]==> ((b c)((b c)(((^x.x) b) c))) 9. ==[ beta ]==> ((b c)((b c)(b c))) REDUCED to normal form. ------ 124924/12524640. ------ 1. ==[ start ]==> ((^a.(^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(^z.z)))((^x1.(x1 x1))(^y1.(^z1.(^x2.x2))))) 3. ==[ beta ]==> (^y.(^z.z)) 4. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124925/12524733. ------ 1. ==[ start ]==> (((^a.(a a)) b)(^a.(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(^y.(b (^z.z)))) 3. ==[ beta ]==> ((b b)(^y.(b (^z.z)))) 4. ==[ alpha ]==> ((b b)(^x.(b (^y.y)))) REDUCED to normal form. ------ 124926/12525198. ------ 1. ==[ start ]==> ((^a.((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.((x x) x))((b a)(^y.(y y)))) 3. ==[ beta ]==> ((((b a)(^y.(y y)))((b a)(^y.(y y))))((b a)(^y.(y y)))) 4. ==[ alpha ]==> ((((b a)(^x.(x x)))((b a)(^y.(y y))))((b a)(^z.(z z)))) REDUCED to normal form. ------ 124927/12525453. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))(^b.((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))(^z.((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))(^z.((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(^z.((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))(^z.((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))(^y.((a a)(a a)))) 7. ==[ beta ]==> ((a a)(^y.((a a)(a a)))) 8. ==[ alpha ]==> ((a a)(^x.((a a)(a a)))) REDUCED to normal form. ------ 124928/12525531. ------ 1. ==[ start ]==> ((^a.(^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((^x.(^y.b))((^z.(^x1.(^y1.y1)))(^z1.a))) 3. ==[ beta ]==> (^y.b) 4. ==[ alpha ]==> (^x.b) REDUCED to normal form. ------ 124929/12525804. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(a a)))(^b.(^c.(a a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(a a)))) 3. ==[ beta ]==> (((^y.(y y))(^y.(y y)))(^z.(^x1.(a a)))) 4. ==[ alpha ]==> (((^x.(x x))(^y.(y y)))(^z.(^x1.(a a)))) IRREDUCIBLE: cycle. ------ 124930/12526098. ------ 1. ==[ start ]==> ((^a.(^b.(a a)))(c (^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((^x.(^y.(x x)))(c (^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> (^y.((c (^z.(^x1.(^y1.y1))))(c (^z.(^x1.(^y1.y1)))))) 4. ==[ alpha ]==> (^x.((c (^y.(^z.(^x1.x1))))(c (^y1.(^z1.(^x2.x2)))))) REDUCED to normal form. ------ 124931/12526305. ------ 1. ==[ start ]==> ((^a.((^a.a)(a a)))((a b)(^c.a))) 2. ==[ alpha ]==> ((^x.((^y.y)(x x)))((a b)(^z.a))) 3. ==[ beta ]==> ((^y.y)(((a b)(^z.a))((a b)(^z.a)))) 4. ==[ alpha ]==> ((^x.x)(((a b)(^y.a))((a b)(^z.a)))) 5. ==[ beta ]==> (((a b)(^y.a))((a b)(^z.a))) 6. ==[ alpha ]==> (((a b)(^x.a))((a b)(^y.a))) REDUCED to normal form. ------ 124932/12526479. ------ 1. ==[ start ]==> (((^a.b)(^a.(^a.a)))(^b.((^a.a) b))) 2. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.((^y1.y1) x1))) 3. ==[ eta ]==> (((^x.b)(^y.(^z.z)))(^y1.y1)) 4. ==[ alpha ]==> (((^x.b)(^y.(^z.z)))(^x1.x1)) 5. ==[ beta ]==> (b (^x1.x1)) 6. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124933/12527736. ------ 1. ==[ start ]==> ((^a.(b a))((^a.(^a.(^a.a))) a)) 2. ==[ alpha ]==> ((^x.(b x))((^y.(^z.(^x1.x1))) a)) 3. ==[ eta ]==> (b ((^y.(^z.(^x1.x1))) a)) 4. ==[ alpha ]==> (b ((^x.(^y.(^z.z))) a)) 5. ==[ beta ]==> (b (^y.(^z.z))) 6. ==[ alpha ]==> (b (^x.(^y.y))) REDUCED to normal form. ------ 124934/12528018. ------ 1. ==[ start ]==> (((^a.a)(b a))(^a.(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.x)(b a))(^y.(^z.(^x1.(^y1.y1))))) 3. ==[ beta ]==> ((b a)(^y.(^z.(^x1.(^y1.y1))))) 4. ==[ alpha ]==> ((b a)(^x.(^y.(^z.(^x1.x1))))) REDUCED to normal form. ------ 124935/12528285. ------ 1. ==[ start ]==> ((^a.(^a.(^a.(^a.a))))((^a.a)(b a))) 2. ==[ alpha ]==> ((^x.(^y.(^z.(^x1.x1))))((^y1.y1)(b a))) 3. ==[ beta ]==> (^y.(^z.(^x1.x1))) 4. ==[ alpha ]==> (^x.(^y.(^z.z))) REDUCED to normal form. ------ 124936/12528288. ------ 1. ==[ start ]==> ((a (^a.(^a.(^a.a))))(^b.(b a))) 2. ==[ alpha ]==> ((a (^x.(^y.(^z.z))))(^x1.(x1 a))) REDUCED to normal form. ------ 124937/12528567. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a))) a)(^a.(b a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z))) a)(^x1.(b x1))) 3. ==[ eta ]==> (((^x.(^y.(^z.z))) a) b) 4. ==[ beta ]==> ((^y.(^z.z)) b) 5. ==[ alpha ]==> ((^x.(^y.y)) b) 6. ==[ beta ]==> (^y.y) 7. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124938/12529176. ------ 1. ==[ start ]==> ((^a.(^b.b))((^c.a)(^a.(a a)))) 2. ==[ alpha ]==> ((^x.(^y.y))((^z.a)(^x1.(x1 x1)))) 3. ==[ beta ]==> (^y.y) 4. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124939/12529773. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^a.(^a.a)))(^b.((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.y1)))(^z1.((^x2.x2)(a a)))) 3. ==[ beta ]==> ((^y.(^z.z))(^z1.((^x2.x2)(a a)))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.((^x1.x1)(a a)))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124940/12529989. ------ 1. ==[ start ]==> (((^a.b)((a a) a))(^b.(^b.(a a)))) 2. ==[ alpha ]==> (((^x.b)((a a) a))(^y.(^z.(a a)))) 3. ==[ beta ]==> (b (^y.(^z.(a a)))) 4. ==[ alpha ]==> (b (^x.(^y.(a a)))) REDUCED to normal form. ------ 124941/12529998. ------ 1. ==[ start ]==> (((a b)(^c.a))(^a.((^a.a)(a a)))) 2. ==[ alpha ]==> (((a b)(^x.a))(^y.((^z.z)(y y)))) 3. ==[ beta ]==> (((a b)(^x.a))(^y.(y y))) REDUCED to normal form. ------ 124942/12530772. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(^b.a))(^a.(^a.b))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.a))(^y1.(^z1.b))) 3. ==[ beta ]==> ((^y.(^z.z))(^y1.(^z1.b))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.b))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124943/12530934. ------ 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))) REDUCED to normal form. ------ 124944/12531384. ------ 1. ==[ start ]==> (((a b)(a b))(^c.(^b.(^a.a)))) 2. ==[ alpha ]==> (((a b)(a b))(^x.(^y.(^z.z)))) REDUCED to normal form. ------ 124945/12531570. ------ 1. ==[ start ]==> ((^a.(b (^a.a)))((^a.(a a)) b)) 2. ==[ alpha ]==> ((^x.(b (^y.y)))((^z.(z z)) b)) 3. ==[ beta ]==> (b (^y.y)) 4. ==[ alpha ]==> (b (^x.x)) REDUCED to normal form. ------ 124946/12531663. ------ 1. ==[ start ]==> (((^a.(a a))(^a.(^a.(^a.a))))(^a.(^b.(^a.a)))) 2. ==[ alpha ]==> (((^x.(x x))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 3. ==[ beta ]==> (((^y.(^z.(^x1.x1)))(^y.(^z.(^x1.x1))))(^y1.(^z1.(^x2.x2)))) 4. ==[ alpha ]==> (((^x.(^y.(^z.z)))(^x1.(^y1.(^z1.z1))))(^x2.(^y2.(^z2.z2)))) 5. ==[ beta ]==> ((^y.(^z.z))(^x2.(^y2.(^z2.z2)))) 6. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.(^y1.y1)))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124947/12531888. ------ 1. ==[ start ]==> ((((^a.a) b) c)(^a.(a (a a)))) 2. ==[ alpha ]==> ((((^x.x) b) c)(^y.(y (y y)))) 3. ==[ beta ]==> ((b c)(^y.(y (y y)))) 4. ==[ alpha ]==> ((b c)(^x.(x (x x)))) REDUCED to normal form. ------ 124948/12531987. ------ 1. ==[ start ]==> (((^a.(^a.a))((a a)(a a)))(^a.(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((a a)(a a)))(^z.(^x1.(x1 x1)))) 3. ==[ beta ]==> ((^y.y)(^z.(^x1.(x1 x1)))) 4. ==[ alpha ]==> ((^x.x)(^y.(^z.(z z)))) 5. ==[ beta ]==> (^y.(^z.(z z))) 6. ==[ alpha ]==> (^x.(^y.(y y))) REDUCED to normal form. ------ 124949/12532158. ------ 1. ==[ start ]==> ((((^a.a)(a a))(^a.b))(^a.((^a.a) a))) 2. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.((^x1.x1) z))) 3. ==[ eta ]==> ((((^x.x)(a a))(^y.b))(^x1.x1)) 4. ==[ alpha ]==> ((((^x.x)(a a))(^y.b))(^z.z)) 5. ==[ beta ]==> (((a a)(^y.b))(^z.z)) 6. ==[ alpha ]==> (((a a)(^x.b))(^y.y)) REDUCED to normal form. ------ 124950/12532230. ------ 1. ==[ start ]==> (((^a.(^a.(^a.a)))(a (a a)))(^a.(^b.a))) 2. ==[ alpha ]==> (((^x.(^y.(^z.z)))(a (a a)))(^x1.(^y1.x1))) 3. ==[ beta ]==> ((^y.(^z.z))(^x1.(^y1.x1))) 4. ==[ alpha ]==> ((^x.(^y.y))(^z.(^x1.z))) 5. ==[ beta ]==> (^y.y) 6. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124951/12532383. ------ 1. ==[ start ]==> (((a (^a.a))((a a)(a a)))(^b.b)) 2. ==[ alpha ]==> (((a (^x.x))((a a)(a a)))(^y.y)) REDUCED to normal form. ------ 124952/12532410. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) b))(^c.(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) b))(^z.(^x1.x1))) 3. ==[ beta ]==> ((a ((^y.y) b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a ((^x.x) b))(^y.(^z.z))) 5. ==[ beta ]==> ((a b)(^y.(^z.z))) 6. ==[ alpha ]==> ((a b)(^x.(^y.y))) REDUCED to normal form. ------ 124953/12532464. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(b a))(^b.a)) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(b a))(^z.a)) 3. ==[ beta ]==> (((^y.y)(b a))(^z.a)) 4. ==[ alpha ]==> (((^x.x)(b a))(^y.a)) 5. ==[ beta ]==> ((b a)(^y.a)) 6. ==[ alpha ]==> ((b a)(^x.a)) REDUCED to normal form. ------ 124954/12532512. ------ 1. ==[ start ]==> (((^a.a) a)(((^a.a)(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x) a)(((^y.y)(^z.z))(b a))) 3. ==[ beta ]==> (a (((^y.y)(^z.z))(b a))) 4. ==[ alpha ]==> (a (((^x.x)(^y.y))(b a))) 5. ==[ beta ]==> (a ((^y.y)(b a))) 6. ==[ alpha ]==> (a ((^x.x)(b a))) 7. ==[ beta ]==> (a (b a)) REDUCED to normal form. ------ 124955/12532539. ------ 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. ------ 124956/12532566. ------ 1. ==[ start ]==> (((a a)(^a.a))(((^a.a) a)((^a.a) b))) 2. ==[ alpha ]==> (((a a)(^x.x))(((^y.y) a)((^z.z) b))) 3. ==[ beta ]==> (((a a)(^x.x))(a ((^z.z) b))) 4. ==[ alpha ]==> (((a a)(^x.x))(a ((^y.y) b))) 5. ==[ beta ]==> (((a a)(^x.x))(a b)) REDUCED to normal form. ------ 124957/12532593. ------ 1. ==[ start ]==> (((^a.a) b)((a (^a.a))((a a)(a a)))) 2. ==[ alpha ]==> (((^x.x) b)((a (^y.y))((a a)(a a)))) 3. ==[ beta ]==> (b ((a (^y.y))((a a)(a a)))) 4. ==[ alpha ]==> (b ((a (^x.x))((a a)(a a)))) REDUCED to normal form. ------ 124958/12532620. ------ 1. ==[ start ]==> (((^a.(^a.a)) a)((a a)(b (^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y)) a)((a a)(b (^z.z)))) 3. ==[ beta ]==> ((^y.y)((a a)(b (^z.z)))) 4. ==[ alpha ]==> ((^x.x)((a a)(b (^y.y)))) 5. ==[ beta ]==> ((a a)(b (^y.y))) 6. ==[ alpha ]==> ((a a)(b (^x.x))) REDUCED to normal form. ------ 124959/12532719. ------ 1. ==[ start ]==> (((^a.(^a.a))(a a))((^b.b)((^a.a) a))) 2. ==[ alpha ]==> (((^x.(^y.y))(a a))((^z.z)((^x1.x1) a))) 3. ==[ beta ]==> ((^y.y)((^z.z)((^x1.x1) a))) 4. ==[ alpha ]==> ((^x.x)((^y.y)((^z.z) a))) 5. ==[ beta ]==> ((^y.y)((^z.z) a)) 6. ==[ alpha ]==> ((^x.x)((^y.y) a)) 7. ==[ beta ]==> ((^y.y) a) 8. ==[ alpha ]==> ((^x.x) a) 9. ==[ beta ]==> a REDUCED to normal form. ------ 124960/12532746. ------ 1. ==[ start ]==> ((a (^b.a))((^a.(^a.(^a.a)))(a (a a)))) 2. ==[ alpha ]==> ((a (^x.a))((^y.(^z.(^x1.x1)))(a (a a)))) 3. ==[ beta ]==> ((a (^x.a))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.a))(^y.(^z.z))) REDUCED to normal form. ------ 124961/12532764. ------ 1. ==[ start ]==> (((a a)(a (^a.a)))((b a)(^b.(^a.a)))) 2. ==[ alpha ]==> (((a a)(a (^x.x)))((b a)(^y.(^z.z)))) REDUCED to normal form. ------ 124962/12532818. ------ 1. ==[ start ]==> ((a ((^a.a) a))(((^a.a)(a a))(^a.b))) 2. ==[ alpha ]==> ((a ((^x.x) a))(((^y.y)(a a))(^z.b))) 3. ==[ beta ]==> ((a a)(((^y.y)(a a))(^z.b))) 4. ==[ alpha ]==> ((a a)(((^x.x)(a a))(^y.b))) 5. ==[ beta ]==> ((a a)((a a)(^y.b))) 6. ==[ alpha ]==> ((a a)((a a)(^x.b))) REDUCED to normal form. ------ 124963/12532827. ------ 1. ==[ start ]==> (((^a.a)(^b.a))((^b.(a a))(a b))) 2. ==[ alpha ]==> (((^x.x)(^y.a))((^z.(a a))(a b))) 3. ==[ beta ]==> ((^y.a)((^z.(a a))(a b))) 4. ==[ alpha ]==> ((^x.a)((^y.(a a))(a b))) 5. ==[ beta ]==> a REDUCED to normal form. ------ 124964/12532854. ------ 1. ==[ start ]==> (((^a.(^a.a))(^a.(^a.a)))((^a.b)((^a.a)(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.b)((^z1.z1)(a a)))) 3. ==[ beta ]==> ((^y.y)((^y1.b)((^z1.z1)(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)((^z.z)(a a)))) 5. ==[ beta ]==> ((^y.b)((^z.z)(a a))) 6. ==[ alpha ]==> ((^x.b)((^y.y)(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124965/12532908. ------ 1. ==[ start ]==> (((^a.a)((^a.a) a))((^b.(^a.a))(b a))) 2. ==[ alpha ]==> (((^x.x)((^y.y) a))((^z.(^x1.x1))(b a))) 3. ==[ beta ]==> (((^y.y) a)((^z.(^x1.x1))(b a))) 4. ==[ alpha ]==> (((^x.x) a)((^y.(^z.z))(b a))) 5. ==[ beta ]==> (a ((^y.(^z.z))(b a))) 6. ==[ alpha ]==> (a ((^x.(^y.y))(b a))) 7. ==[ beta ]==> (a (^y.y)) 8. ==[ alpha ]==> (a (^x.x)) REDUCED to normal form. ------ 124966/12532935. ------ 1. ==[ start ]==> (((^a.(^a.a))(a (^a.a)))((^a.(a a))(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))(a (^z.z)))((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> ((^y.y)((^x1.(x1 x1))(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((^x.x)((^y.(y y))(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.(y y))(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.(x x))(a (^y.(^z.z)))) 7. ==[ beta ]==> ((a (^y.(^z.z)))(a (^y.(^z.z)))) 8. ==[ alpha ]==> ((a (^x.(^y.y)))(a (^z.(^x1.x1)))) REDUCED to normal form. ------ 124967/12532989. ------ 1. ==[ start ]==> ((a (^a.(a a)))((^a.(^a.a))((a a)(a a)))) 2. ==[ alpha ]==> ((a (^x.(x x)))((^y.(^z.z))((a a)(a a)))) 3. ==[ beta ]==> ((a (^x.(x x)))(^z.z)) 4. ==[ alpha ]==> ((a (^x.(x x)))(^y.y)) REDUCED to normal form. ------ 124968/12533034. ------ 1. ==[ start ]==> (((a (^a.a))(a (^a.a)))((b (^a.a)) a)) 2. ==[ alpha ]==> (((a (^x.x))(a (^y.y)))((b (^z.z)) a)) REDUCED to normal form. ------ 124969/12533061. ------ 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. ------ 124970/12533088. ------ 1. ==[ start ]==> ((a (a (a a)))(((^a.a) b) c)) 2. ==[ alpha ]==> ((a (a (a a)))(((^x.x) b) c)) 3. ==[ beta ]==> ((a (a (a a)))(b c)) REDUCED to normal form. ------ 124971/12533097. ------ 1. ==[ start ]==> (((^a.a)(^a.(a a)))((^b.b)(^b.a))) 2. ==[ alpha ]==> (((^x.x)(^y.(y y)))((^z.z)(^x1.a))) 3. ==[ beta ]==> ((^y.(y y))((^z.z)(^x1.a))) 4. ==[ alpha ]==> ((^x.(x x))((^y.y)(^z.a))) 5. ==[ beta ]==> (((^y.y)(^z.a))((^y.y)(^z.a))) 6. ==[ alpha ]==> (((^x.x)(^y.a))((^z.z)(^x1.a))) 7. ==[ beta ]==> ((^y.a)((^z.z)(^x1.a))) 8. ==[ alpha ]==> ((^x.a)((^y.y)(^z.a))) 9. ==[ beta ]==> a REDUCED to normal form. ------ 124972/12533124. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.a))((^a.(^a.(^a.a)))(^a.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.a))((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 3. ==[ beta ]==> ((^y.y)((^x1.(^y1.(^z1.z1)))(^x2.(x2 x2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.(^x1.x1)))(^y1.(y1 y1)))) 5. ==[ beta ]==> ((^y.(^z.(^x1.x1)))(^y1.(y1 y1))) 6. ==[ alpha ]==> ((^x.(^y.(^z.z)))(^x1.(x1 x1))) 7. ==[ beta ]==> (^y.(^z.z)) 8. ==[ alpha ]==> (^x.(^y.y)) REDUCED to normal form. ------ 124973/12533205. ------ 1. ==[ start ]==> (((^a.a)(a (a a)))((^b.(a a))(^a.b))) 2. ==[ alpha ]==> (((^x.x)(a (a a)))((^y.(a a))(^z.b))) 3. ==[ beta ]==> ((a (a a))((^y.(a a))(^z.b))) 4. ==[ alpha ]==> ((a (a a))((^x.(a a))(^y.b))) 5. ==[ beta ]==> ((a (a a))(a a)) REDUCED to normal form. ------ 124974/12533232. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a) a))((^a.b)(^b.(a a)))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z) a))((^x1.b)(^y1.(a a)))) 3. ==[ beta ]==> ((^y.y)((^x1.b)(^y1.(a a)))) 4. ==[ alpha ]==> ((^x.x)((^y.b)(^z.(a a)))) 5. ==[ beta ]==> ((^y.b)(^z.(a a))) 6. ==[ alpha ]==> ((^x.b)(^y.(a a))) 7. ==[ beta ]==> b REDUCED to normal form. ------ 124975/12533313. ------ 1. ==[ start ]==> ((a (^b.(^a.a)))((^a.(a a))(^a.(^a.(^a.a))))) 2. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(z z))(^x1.(^y1.(^z1.z1))))) 3. ==[ beta ]==> ((a (^x.(^y.y)))((^x1.(^y1.(^z1.z1)))(^x1.(^y1.(^z1.z1))))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((^z.(^x1.(^y1.y1)))(^z1.(^x2.(^y2.y2))))) 5. ==[ beta ]==> ((a (^x.(^y.y)))(^x1.(^y1.y1))) 6. ==[ alpha ]==> ((a (^x.(^y.y)))(^z.(^x1.x1))) REDUCED to normal form. ------ 124976/12533403. ------ 1. ==[ start ]==> (((^a.(a a)) b)(a (b (^a.a)))) 2. ==[ alpha ]==> (((^x.(x x)) b)(a (b (^y.y)))) 3. ==[ beta ]==> ((b b)(a (b (^y.y)))) 4. ==[ alpha ]==> ((b b)(a (b (^x.x)))) REDUCED to normal form. ------ 124977/12533538. ------ 1. ==[ start ]==> (((a (a a)) b)(((a a)(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))((^y.y)(^z.z)))) 3. ==[ beta ]==> (((a (a a)) b)(((a a)(^x.x))(^z.z))) 4. ==[ alpha ]==> (((a (a a)) b)(((a a)(^x.x))(^y.y))) REDUCED to normal form. ------ 124978/12533565. ------ 1. ==[ start ]==> ((((^a.a)(^a.a)) a)(((^a.a)(a a))((a a) a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y)) a)(((^z.z)(a a))((a a) a))) 3. ==[ beta ]==> (((^y.y) a)(((^z.z)(a a))((a a) a))) 4. ==[ alpha ]==> (((^x.x) a)(((^y.y)(a a))((a a) a))) 5. ==[ beta ]==> (a (((^y.y)(a a))((a a) a))) 6. ==[ alpha ]==> (a (((^x.x)(a a))((a a) a))) 7. ==[ beta ]==> (a ((a a)((a a) a))) REDUCED to normal form. ------ 124979/12533592. ------ 1. ==[ start ]==> (((a a)(^b.(^a.a)))((a b)(a b))) 2. ==[ alpha ]==> (((a a)(^x.(^y.y)))((a b)(a b))) REDUCED to normal form. ------ 124980/12533619. ------ 1. ==[ start ]==> (((a (^a.a))(^a.(a a)))(((a a) a)((^a.a)(a a)))) 2. ==[ alpha ]==> (((a (^x.x))(^y.(y y)))(((a a) a)((^z.z)(a a)))) 3. ==[ beta ]==> (((a (^x.x))(^y.(y y)))(((a a) a)(a a))) REDUCED to normal form. ------ 124981/12533646. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.a))(((^a.a)(^a.a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 3. ==[ beta ]==> ((a (^y.a))(((^z.z)(^x1.x1))((a a)(^y1.y1)))) 4. ==[ alpha ]==> ((a (^x.a))(((^y.y)(^z.z))((a a)(^x1.x1)))) 5. ==[ beta ]==> ((a (^x.a))((^z.z)((a a)(^x1.x1)))) 6. ==[ alpha ]==> ((a (^x.a))((^y.y)((a a)(^z.z)))) 7. ==[ beta ]==> ((a (^x.a))((a a)(^z.z))) 8. ==[ alpha ]==> ((a (^x.a))((a a)(^y.y))) REDUCED to normal form. ------ 124982/12533673. ------ 1. ==[ start ]==> (((a (a a))(^a.(^a.a)))((a (a a))(b a))) 2. ==[ alpha ]==> (((a (a a))(^x.(^y.y)))((a (a a))(b a))) REDUCED to normal form. ------ 124983/12533700. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^a.a))(((^a.a) a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 3. ==[ beta ]==> (((^y.y)(^z.z))(((^x1.x1) a)(a (^y1.(^z1.z1))))) 4. ==[ alpha ]==> (((^x.x)(^y.y))(((^z.z) a)(a (^x1.(^y1.y1))))) 5. ==[ beta ]==> ((^y.y)(((^z.z) a)(a (^x1.(^y1.y1))))) 6. ==[ alpha ]==> ((^x.x)(((^y.y) a)(a (^z.(^x1.x1))))) 7. ==[ beta ]==> (((^y.y) a)(a (^z.(^x1.x1)))) 8. ==[ alpha ]==> (((^x.x) a)(a (^y.(^z.z)))) 9. ==[ beta ]==> (a (a (^y.(^z.z)))) 10. ==[ alpha ]==> (a (a (^x.(^y.y)))) REDUCED to normal form. ------ 124984/12533790. ------ 1. ==[ start ]==> ((((^a.a) a)((^a.a) a))(((a a)(a a))(^a.a))) 2. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))(((a a)(a a))(^z.z))) 3. ==[ beta ]==> ((a ((^y.y) a))(((a a)(a a))(^z.z))) 4. ==[ alpha ]==> ((a ((^x.x) a))(((a a)(a a))(^y.y))) 5. ==[ beta ]==> ((a a)(((a a)(a a))(^y.y))) 6. ==[ alpha ]==> ((a a)(((a a)(a a))(^x.x))) REDUCED to normal form. ------ 124985/12533817. ------ 1. ==[ start ]==> (((a (a a))(a (^a.a)))(((^a.a) b)(^a.(^a.a)))) 2. ==[ alpha ]==> (((a (a a))(a (^x.x)))(((^y.y) b)(^z.(^x1.x1)))) 3. ==[ beta ]==> (((a (a a))(a (^x.x)))(b (^z.(^x1.x1)))) 4. ==[ alpha ]==> (((a (a a))(a (^x.x)))(b (^y.(^z.z)))) REDUCED to normal form. ------ 124986/12533844. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(a a))((a (^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(a a))((a (^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> (((^y.y)(a a))((a (^z.(^x1.x1)))(^y1.a))) 4. ==[ alpha ]==> (((^x.x)(a a))((a (^y.(^z.z)))(^x1.a))) 5. ==[ beta ]==> ((a a)((a (^y.(^z.z)))(^x1.a))) 6. ==[ alpha ]==> ((a a)((a (^x.(^y.y)))(^z.a))) REDUCED to normal form. ------ 124987/12533871. ------ 1. ==[ start ]==> ((a ((a a) a))((b a)(^a.(a a)))) 2. ==[ alpha ]==> ((a ((a a) a))((b a)(^x.(x x)))) REDUCED to normal form. ------ 124988/12533907. ------ 1. ==[ start ]==> (((^a.(^a.a))(^b.(^a.a)))((^c.(^a.a))((^a.a)(^a.a)))) 2. ==[ alpha ]==> (((^x.(^y.y))(^z.(^x1.x1)))((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 3. ==[ beta ]==> ((^y.y)((^y1.(^z1.z1))((^x2.x2)(^y2.y2)))) 4. ==[ alpha ]==> ((^x.x)((^y.(^z.z))((^x1.x1)(^y1.y1)))) 5. ==[ beta ]==> ((^y.(^z.z))((^x1.x1)(^y1.y1))) 6. ==[ alpha ]==> ((^x.(^y.y))((^z.z)(^x1.x1))) 7. ==[ beta ]==> (^y.y) 8. ==[ alpha ]==> (^x.x) REDUCED to normal form. ------ 124989/12533961. ------ 1. ==[ start ]==> (((^a.(a a))(^b.a))((^a.b)(a b))) 2. ==[ alpha ]==> (((^x.(x x))(^y.a))((^z.b)(a b))) 3. ==[ beta ]==> (((^y.a)(^y.a))((^z.b)(a b))) 4. ==[ alpha ]==> (((^x.a)(^y.a))((^z.b)(a b))) 5. ==[ beta ]==> (a ((^z.b)(a b))) 6. ==[ alpha ]==> (a ((^x.b)(a b))) 7. ==[ beta ]==> (a b) REDUCED to normal form. ------ 124990/12534042. ------ 1. ==[ start ]==> (((^a.a)((a a) a))((^a.(a a))(b a))) 2. ==[ alpha ]==> (((^x.x)((a a) a))((^y.(y y))(b a))) 3. ==[ beta ]==> (((a a) a)((^y.(y y))(b a))) 4. ==[ alpha ]==> (((a a) a)((^x.(x x))(b a))) 5. ==[ beta ]==> (((a a) a)((b a)(b a))) REDUCED to normal form. ------ 124991/12534069. ------ 1. ==[ start ]==> (((^a.(^a.a))((^a.a)(^a.a)))((^b.a)(a (^a.(^a.a))))) 2. ==[ alpha ]==> (((^x.(^y.y))((^z.z)(^x1.x1)))((^y1.a)(a (^z1.(^x2.x2))))) 3. ==[ beta ]==> ((^y.y)((^y1.a)(a (^z1.(^x2.x2))))) 4. ==[ alpha ]==> ((^x.x)((^y.a)(a (^z.(^x1.x1))))) 5. ==[ beta ]==> ((^y.a)(a (^z.(^x1.x1)))) 6. ==[ alpha ]==> ((^x.a)(a (^y.(^z.z)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 124992/12534123. ------ 1. ==[ start ]==> (((^a.(a a))((^a.a) a))((^a.a)((a a)(a a)))) 2. ==[ alpha ]==> (((^x.(x x))((^y.y) a))((^z.z)((a a)(a a)))) 3. ==[ beta ]==> ((((^y.y) a)((^y.y) a))((^z.z)((a a)(a a)))) 4. ==[ alpha ]==> ((((^x.x) a)((^y.y) a))((^z.z)((a a)(a a)))) 5. ==[ beta ]==> ((a ((^y.y) a))((^z.z)((a a)(a a)))) 6. ==[ alpha ]==> ((a ((^x.x) a))((^y.y)((a a)(a a)))) 7. ==[ beta ]==> ((a a)((^y.y)((a a)(a a)))) 8. ==[ alpha ]==> ((a a)((^x.x)((a a)(a a)))) 9. ==[ beta ]==> ((a a)((a a)(a a))) REDUCED to normal form. ------ 124993/12534204. ------ 1. ==[ start ]==> ((a (^a.b))((^a.(^a.(^a.a)))(^b.a))) 2. ==[ alpha ]==> ((a (^x.b))((^y.(^z.(^x1.x1)))(^y1.a))) 3. ==[ beta ]==> ((a (^x.b))(^z.(^x1.x1))) 4. ==[ alpha ]==> ((a (^x.b))(^y.(^z.z))) REDUCED to normal form. ------ 124994/12534537. ------ 1. ==[ start ]==> ((((a a) a) b)((a (^a.(^a.a)))(a (^a.a)))) 2. ==[ alpha ]==> ((((a a) a) b)((a (^x.(^y.y)))(a (^z.z)))) REDUCED to normal form. ------ 124995/12534564. ------ 1. ==[ start ]==> (((a b) a)((b a)((^a.a) a))) 2. ==[ alpha ]==> (((a b) a)((b a)((^x.x) a))) 3. ==[ beta ]==> (((a b) a)((b a) a)) REDUCED to normal form. ------ 124996/12534591. ------ 1. ==[ start ]==> (((a a)(^a.b))(((a a)(^a.a))(a (a a)))) 2. ==[ alpha ]==> (((a a)(^x.b))(((a a)(^y.y))(a (a a)))) REDUCED to normal form. ------ 124997/12534645. ------ 1. ==[ start ]==> ((((^a.a) a)(^b.(^a.a)))((a b)((a a) a))) 2. ==[ alpha ]==> ((((^x.x) a)(^y.(^z.z)))((a b)((a a) a))) 3. ==[ beta ]==> ((a (^y.(^z.z)))((a b)((a a) a))) 4. ==[ alpha ]==> ((a (^x.(^y.y)))((a b)((a a) a))) REDUCED to normal form. ------ 124998/12534672. ------ 1. ==[ start ]==> (((a (a a))(^a.(a a)))(((a a) a)(a b))) 2. ==[ alpha ]==> (((a (a a))(^x.(x x)))(((a a) a)(a b))) REDUCED to normal form. ------ 124999/12534699. ------ 1. ==[ start ]==> ((((^a.a)(^a.a))(^b.a))(((^a.a)(^a.a))((^a.a)(a a)))) 2. ==[ alpha ]==> ((((^x.x)(^y.y))(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 3. ==[ beta ]==> (((^y.y)(^z.a))(((^x1.x1)(^y1.y1))((^z1.z1)(a a)))) 4. ==[ alpha ]==> (((^x.x)(^y.a))(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 5. ==[ beta ]==> ((^y.a)(((^z.z)(^x1.x1))((^y1.y1)(a a)))) 6. ==[ alpha ]==> ((^x.a)(((^y.y)(^z.z))((^x1.x1)(a a)))) 7. ==[ beta ]==> a REDUCED to normal form. ------ 125000/12534726. ------ 1. ==[ start ]==> ((((a a) a)(^a.(^a.a)))((a (a a))((a a)(^a.a)))) 2. ==[ alpha ]==> ((((a a) a)(^x.(^y.y)))((a (a a))((a a)(^z.z)))) REDUCED to normal form.